EL5250
-
Upload
aliz-farago -
Category
Documents
-
view
219 -
download
0
Transcript of EL5250
-
7/28/2019 EL5250
1/132
PROGRAMMABLE SCIENTIFIC
CALCULATOR
OPERATION MANUAL
EL-5230EL-5250
-
7/28/2019 EL5250
2/132
-
7/28/2019 EL5250
3/132
Introduction
Chapter 1:
Before You Get Started
Chapter 2:
General Information
Chapter 3:
Scientific Calculations
Chapter 4:
Statistical Calculations
Chapter 5:Equation Solvers
Chapter 6:
SHARP EL-52Programmable Scientifi
-
7/28/2019 EL5250
4/132
ContentsIntroduction ..................................
Operational Notes .............................................
Key Notation in This Manual .............................
Chapter 1: Before You Get StartePreparing to Use the Calculator .......................
Resetting the calculator ............................
The Hard Case ..................................................
Calculator Layout and Display Symbols ...........
Operating Modes ..............................................
Selecting a mode ......................................
What you can do in each mode ................
A Quick Tour ......................................................
Turning the calculator on and off ..............
Entering and solving an expression ..........
Editing an expression ................................
Using variables ..........................................Using simulation calculations (ALGB) ......
Using the solver function ...........................
Other features ...........................................
-
7/28/2019 EL5250
5/132
Setting the floating point numbers syste
Using Memories ............................................
Using alphabetic characters .................
Using global variables ...........................
Using local variables .............................
Using variables in an equation or a prog
Using the last answer memory .............
Global variable M ..................................
Using memory in each mode ................
Resetting the calculator ........................
Chapter 3: Scientific CalculatioNORMAL mode .............................................
Arithmetic operations ............................
Constant calculations ............................
Functions .......................................................
Math menu Functions ...................................
Differential/Integral Functions .......................
Differential function ...............................
Integral function .....................................
When performing integral calculations .
Random Function .........................................
Random numbers ..................................
-
7/28/2019 EL5250
6/132
Solver Function .................................................
Entering and solving an equation .............
Changing the value of variables and editin
Solving an equation ..................................
Important notes .........................................
Simulation Calculation (ALGB) .........................
Entering an expression for simulation calc
Changing a value of variables and editing
Simulate an equation for different values .
Filing Equations ................................................
Saving an equation ...................................Loading and deleting an equation ............
Chapter 4: Statistical CalculationSingle-variable statistical calculation ........
Linear regression calculation ....................
Exponential regression, logarithmic regrespower regression, and inverse regression
Quadratic regression calculation ..............
Data Entry and Correction ................................
Data entry ..................................................
Data correction ..........................................
Statistical Calculation Formulas .......................
N l P b bilit C l l ti
Contents
-
7/28/2019 EL5250
7/132
Entering the PROG mode .....................
Selecting the NORMAL program mode oprogram mode .......................................
Programming concept ...........................
Keys and display ...................................
Creating a NEW Program .............................
Creating a NEW program ......................
Use of variables .....................................
Programming Commands .............................
Input and display commands ................
Flow control ...........................................
Equalities and inequalities ....................
Statistical Commands ...................................
Editing a Program .........................................
Error Messages .............................................
Deleting Programs ........................................
Chapter 8: Application ExampleProgramming Examples ...............................
Some like it hot (Celsius-Fahrenheit con
The Heron Formula ...............................
2B or not 2B (N-base conversion) ........
T test ......................................................
A i l th t th h 3 i t
-
7/28/2019 EL5250
8/132
Appendix .......................................Battery Replacement ........................................
Batteries used ...........................................
Notes on battery replacement ..................
When to replace the batteries ...................
Cautions ....................................................Replacement procedure ............................
Automatic power off function .....................
The OPTION menu ...........................................
The OPTION display .................................
Contrast .....................................................
Memory check ...........................................
Deleting equation files and programs .......
If an Abnormal Condition Occurs .....................
Error Messages .................................................
Using the Solver Function Effectively ...............
Newtons method .......................................
Dead end approximations ........................
Range of expected values.........................
Calculation accuracy .................................Changing the range of expected values ...
Equations that are difficult to solve ...........
Technical Data ..................................................
Contents
-
7/28/2019 EL5250
9/132
IntroductionThank you for purchasing the SHARP Programma
Model EL-5230/5250.
After reading this manual, store it in a convenient
Unless the model is specified, all text and other
manual applies to both models (EL-5230 and E
Either of the models described in this manual m
some countries.
Screen examples shown in this manual may no
what is seen on the product. For instance, screethe symbols necessary for explanation of each
All company and/or product names are tradema
trademarks of their respective holders.
-
7/28/2019 EL5250
10/132
Operational Notes
Do not carry the calculator around in your back po
when you sit down. The display is made of glass a
Keep the calculator away from extreme heat such
or near a heater, and avoid exposing it to excessiv
environments.
Since this product is not waterproof, do not use it for example water, can splash onto it. Raindrops,
steam, perspiration, etc. will also cause malfunctio
Clean with a soft, dry cloth. Do not use solvents o
Do not drop it or apply excessive force.
Never dispose of batteries in a fire.
Keep batteries out of the reach of children.
This product, including accessories, may change
prior notice.
NOTICE
SHARP strongly recommends that separate perecords be kept of all important data. Data ma
virtually any electronic memory product under
stances. Therefore, SHARP assumes no respo
or otherwise rendered unusable whether as a
repairs, defects, battery replacement, use afte
life has expired, or any other cause. SHARP will not be liable nor responsible for an
consequential economic or property damage
or malfunctions of this product and its periphe
li bili i k l d d b l
Introduction
-
7/28/2019 EL5250
11/132
Key Notation in This Manual
In this manual, key operations are described as fo
To specify ex :@" ................
To specify In :i
To specify F :; F ......................
To specify d/c :@F ................
To specify ab/c:k
To specify H :; H......................
To specify i :Q .........................
Functions that are printed in orange above the
pressed first before the key.
When you specify the memory (printed in blue
; first.
Alpha-numeric characters for input are not shoalpha-numeric characters.
Functions that are printed in grey (gray) adjac
in specific modes.
Note:
To make the cursor easier to see in diagram
it is depicted as _ under the character thou
as a rectangular cursor on the display.
-
7/28/2019 EL5250
12/132
-
7/28/2019 EL5250
13/132
Chapter 1
Before You Get St
Preparing to Use the Calculator
Before using your calculator for the first time, youcontrast.
Resetting the calculator
1. Press the RESET switch located on the
back of the calculator with the tip of a ball-point pen or similar object. Do not use an
object with a breakable or sharp tip.
If you do not see the message on the
right, the battery may be installed
incorrectly; refer to Battery Replacement
(See page 115.) and try installing it again.
2. Pressy.
The initial display of the NORMAL mode
appears.
-
7/28/2019 EL5250
14/132
The Hard Case
Your calculator comes with a hard case to protect th
when the calculator is not in use.
Before using the calculator, remove the hard case a
as shown to avoid losing it.
When you are not using the calculator, slide the har
and display as shown.
Firmly slide the hard case all the way to the edge The quick reference card is located inside the har
Remove the hard case while holding with fingers
Chapter 1: Before You Get Started
-
7/28/2019 EL5250
15/132
Cha
Calculator Layout and Display S
Calculator layout
3 Key operation
keys
-
7/28/2019 EL5250
16/132
Chapter 1: Before You Get Started
Display
During actual use, not all symbols are displayed a
Only the symbols required for the usage under ins
display and calculation examples of this manual.
: Indicates some contents are hidden in the
Press cursor keys to see the remaining (h
BUSY : Appears during the execution of a calcula
2ndF : Appears when@ is pressed.
xy/r : Indicates the mode of expression of result
calculation mode.
HYP : Indicates thatH has been pressed andare enabled. If@> are pressed, thappear, indicating that inverse hyperbolic
ALPHA: Appears when;,@a,x or
Mantissa
Dot matrixdisplay
-
7/28/2019 EL5250
17/132
Operating Modes
This calculator has five operating modes to perfo
These modes are selected from the MODE key.
Selecting a mode
1. Pressb.
The menu display appears.
Pressd to display the next menupage.
2. Press0 to select the NORMAL mode.
In the menu display, press the assigned
number to choose or recall a selection.
What you can do in each mode
NORMAL mode:
Allow you to perform standard scientific calc
functions, N-base calculations, Solver functio
STAT (statistics) mode:
Allows you to perform statistical calculations
PROG ( ) d
Cha
-
7/28/2019 EL5250
18/132
A Quick Tour
This section takes you on a quick tour covering the
arithmetic operations and also principal features like
Turning the calculator on and off
1. Pressj at the top right of the keypad
to turn the calculator on.
To conserve the batteries, the calculator
turns itself off automatically if it is not used
for several minutes.
2. Press@o to turn the calculator off.
Whenever you need to execute a function or co
in orange above a key, press@ followed by
Entering and solving an expression
Arithmetic expressions should be entered in the sam
normally be written in. To calculate the result of an ethe bottom right of the keypad; this has the same fu
on some calculators.
Example
Find the answer to the expression82 3 7 -10.5
1. 8Az@* 3-
7kS 10.5
Chapter 1: Before You Get Started
-
7/28/2019 EL5250
19/132
Cha
Editing an expression
After obtaining an answer, you can go back to anusing the cursor keys just as you can before thee
Example
Return to the last expression and change it
82
3 7
-10.51. Pressd orr to return to the
last expression.
The cursor is now at the beginning of
the expression (on 8 in this case).
Pressingu orl after obtainingan answer returns the cursor to the endof the last expression.
To make the cursor easier to see in diagra
it is depicted as _ under the character tho
as a rectangular cursor on the display.
2. Pressr four times to move thecursor to the point where you wish to
make a change.
The cursor has moved four places to the
right and is now flashing over 3.
3. Press@O . This changes the character entering mode
When@ is pressed the 2ndF symbol sof the display. If it does not, you have not p
-
7/28/2019 EL5250
20/132
Using variables
You can use 27 variables (A-Z and ) in the NORMAstored as a variable can be recalled either by enteri
usingt.
Example 1
Store 23 to variable R.
1. Pressj 21 thenx.
j clears the display. ALPHA appears automatically when you
pressx. You can now enter anyalphabetic character or (written in blue
above keys in the keypad).
2. Press R to store the result of 23 in R.
The stored number is displayed on the
next line.
ALPHA disappears from the display.
You can also store a number directly
rather than storing the result of an expression.
Example 2
Find the area of a circle which has radius R.
Chapter 1: Before You Get Started
-
7/28/2019 EL5250
21/132
Cha
3. Presse to obtain the result.
Follow the same procedure as above,but presst instead of; in
step 1.
You will get the same result.
Using simulation calculations (ALGB)If you want to find more than one solution using th
algebraic equation, you can do this quickly and si
simulation calculation.
Example
Find the volume of two cones:
1 with height 10 and radius 8 and
2 with height 8 and radius 9.
1. Pressj 1k 3@s; RA; H to enter theformula.
Note that 1 3 represents 1 over (i.e.
divided by) 3.
Variables can be represented only by
capital letters.
2. Press@G (I key) to finishentering the equation.
Th l l t t ti ll i k t
-
7/28/2019 EL5250
22/132
Note that, as the variable R already has a nu
the calculator recalls that number. indicates that there is another variable ear
4. Press 8 to input the radius.
Input of all variables is now complete.
5. Presse to obtain the solution.
The answer (volume of cone ) isdisplayed on the third line.
6. Presse and 8 to input the heightfor cone.
The display returns to a value entryscreen with 8 substituted for 10 in
variable H.
7. Presse to confirm the change.
8. Press 9 to enter the new radius then
presse to solve the equation.
The volume of cone is now displayed. In any step, press@h to obtain
the solution using the values entered
into the variables at that time.
Chapter 1: Before You Get Started
-
7/28/2019 EL5250
23/132
Using the solver function
You can solve any unknown variable in an equatiovalues to the rest of the variables. Let us compare
the solver function and the simulation calculations
sion as in the last example.
Example
What is the height of cone 3 if it has a rad
and the same volume as cone2 (r = 9, h =
the last example?
9. Store the result of step 8 on the
previous page in variable V.
Pressj twice and;t(5
z7)e
i20e
l50e
@"3e
@Y1.7e
6@Z+7@
Ze
4k5Ae
4@Be
8mS2-3m
81e
12m3m4@Ze
@*49-4@
81e@q27e
5
7
1
6
1
7
14
Key operations
49 4
81 =
3 27 =
Example
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
38/132
Math menu Functions
Other functions are available on this calculator besi
functions on the key pad. These functions are acces
function menu. The math menu has different conten
PressI to display the math menu. In the NORMthe following functions.
Switch the display usingdu.
These math menus are not available for DifferenN-base functions, Solver functions and Simulatio
0: absDisplays the absolute value of a
number.
1: ipartDisplays the integer part only of anumber.
2: intDisplays the largest integer lessthan or equal to a number.
I0S
7e
I1S7.94e
I2S7.94e
Function Key operatio
abs ipartint fpart
-
7/28/2019 EL5250
39/132
Function Key opera
5: SOLVEEnter the Solver function mode.(See page 52.)
6: secSexagesimal numbers areconverted to seconds notation.
(See page 46.)7: min
Sexagesimal numbers areconverted to minutes notation.(See page 46.)
I5
24[I6
0[0[1500I
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
40/132
Differential/Integral Functions
Differential and integral calculations can only be pe
mode. It is possible to reuse the same equation ove
recalculate by only changing the values without hav
equation.
Performing a calculation will clear the value in th
You can use both global and local variables in th The answer calculated will be stored in the last a
The answer calculated may include a margin of
occur. In such a case, recalculate after changing
or subinterval (n).
Since differential and integral calculations are p
following equations, in certain rare cases correc
obtained, such as when performing special calc
discontinuous points.
Integral calculation (Simpsons rule):
S=h{f(a)+4{f(a+h)+f(a+3h)++f(a+(N1)h)}
+2{f(a+2h)+f(a+4h)++f(a+(N2)h)}+f(b)}Nh=
a
13
Differential calculation:
f(x+)f(x)dx2
dx2
(x)=dx
Differential function
Cha
-
7/28/2019 EL5250
41/132
To exit the differential function, pressj. After getting the answer, presse to return
the x value and the minute interval, and press
at any point.
* X memory is specified by pressing; then th
Integral function
The Integral function is used as follows.
1. Pressb0 to enter the NORMAL mod
2. Input a formula with an xvariable.
3. Press{.
4. Input the starting value (a) of a range of integ
5. Input the finishing value (b) of a range of inte
Example Key operations
d/dx (x40.5x3+6x2) j; X*m4-
; X1+6;XA@3
x= 2dx = 0.00002d/dx = ?
2ee
x= 3dx = 0.001d/dx = ?
e3e0.001e
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
42/132
When performing integral calculations
Integral calculations require a long calculation time,
integrands and subintervals input. During calculatio
displayed. To cancel calculation, pressj. Note tintegral errors when there are large fluctuations in t
minute shifting of the integral range and for periodic
positive and negative integral values exist dependin
For the former case, make the integral interval as sm
latter case, separate the positive and negative value
Following these tips will provide calculations results
and will also shorten the calculation time.
j; XA-5{
n = 100 2e8ee
82 (x25)dx
dx = ?
n = 10 eee10e
dx = ?
Example Key operations
Cha
-
7/28/2019 EL5250
43/132
Random Function
The Random function has four settings for the NO
mode. (This function is not available while using t
function and simulation calculations.)
Random numbers
A pseudo-random number, with three significant dcan be generated by pressing@w0erandom numbers in succession, presse. Pres
The calculator can regenerate the same rando
Random dice
To simulate a die-rolling, a random integer betweated by pressing@w1e. To genenumbers in succession, presse. Pressj
Random coin
To simulate a coin flip, 0 (head) or 1 (tail) can be pressing@w2e. To generate furtsuccession, presse. Pressj to exit.
Random integer
An integer between 0 and 99 can be generated ra
w3e. To generate further random nue. Pressj to exit.
Example Key operations
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
44/132
Angular Unit Conversions
The angular unit is changed in sequence each time
is pressed.
Chain Calculations
The previous calculation result can be used in a subHowever, it cannot be recalled after entering multipl
When using postfix functions ( , sin, etc.), a ch
possible even if the previous calculation result is
thej key.
90 [rad] j90@]
[g] @] [] @]
sin10.8 = [] @w0.8e
[rad] @]
[g] @]
[] @]
Example Key operations
6+4=ANS j6+4e
ANS+5 +5e
Example Key operations
Cha
-
7/28/2019 EL5250
45/132
Fraction Calculations
Arithmetic operations and memory calculations ca
fractions, and conversions between decimal num
If the number of digits to be displayed is great
converted to and displayed as a decimal num
3 + = [a] j3k1k2+
4k3e
[a.xxx] k
[d/c] @F
10= @Y2k3e
()5
=
(
)
= 1k 8m1k3e
7k5m5e
= @*64k225e
23 (2m3)k
34 (3m4)e
1.21.2k2.3e
2.3
123[ [ k e
1
2
4
3
bc
2
3
7
5
1
8
1
3
64
225
=
=
Example Key operations
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
46/132
Binary, Pental, Octal, Decimal, an
Operations (N-base)This calculator can perform conversions between nu
binary, pental, octal, decimal and hexadecimal syste
the four basic arithmetic operations, calculations wi
memory calculations using binary, pental, octal, dec
numbers. Furthermore, the calculator can carry out AND, OR, NOT, NEG, XOR and XNOR on binary, pe
mal numbers.
Conversion to each system is performed by the follo
@z: Converts to the binary system. ? appe
@r: Converts to the pental system. q appe
@g: Converts to the octal system. f appea
@h: Converts to the hexadecimal system. 6@/: Converts to the decimal system. ?, q
from the display.
Conversion is performed on the displayed value wh
pressed.
Note: Hexadecimal numbers A F are entered into
pressing,,m,A,1,l, and
In the binary, pental, octal, and hexadecimal system
be entered. When a decimal number having a fracti
into a binary, pental, octal, or hexadecimal number,
truncated. Likewise, when the result of a binary, pen
l l ti i l d f ti l t th f ti l
Cha
-
7/28/2019 EL5250
47/132
DEC(25)BIN j@/25@z
HEX(1AC) @a1AC
BIN @z
PEN @r
OCT @g
DEC @/
BIN(1010100) @z(1010-
11 = )k11e
BIN(111)NEG d111e
HEX(1FF)+ @a1FF@gOCT(512)= 512e
HEX(?) @a
2FEC jxM@a 2
2C9E=(A) -2C9Em
+)2000 2000-1901=(B) 1901m
(C) tM
1011 AND j@z10114
101 = (BIN) 101e
5A OR C3 = (HEX) @a5ApC3e
NOT 10110 = @zn10110e
(BIN)
Example Key operations
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
48/132
Time, Decimal and Sexagesimal
Conversion between decimal and sexagesimal num
and, while using sexagesimal numbers, also conver
minutes notation. The four basic arithmetic operatio
tions can be performed using the sexagesimal syste
sexagesimal is as follows:
123918.05 j12[39[18.05
[10] @:
123.678[60] 123.678@:
3h30m45s + 3[30[45+ 6[
6h45m36s = [60] 45[36e
12345612 + 1234[56[12+0034.567 = [60] 0[0[34.567e
3h45m 3[45-1.69e
1.69h = [60] @:
sin621224 = [10] v62[12[24e24[ ] 24[I6
1500[ ] 0[0[1500I7
Example Key operations
123456.78degree second
minute
Cha
-
7/28/2019 EL5250
49/132
Coordinate Conversions
Conversions can be performed between rectangu
P (x,y)
X
Y
0
y
x
P (r, )
X
Y
0
r
Rectangular coordinate Polar coordinate
Before performing a calculation, select the an
The calculation result is automatically stored
Value of r: R memory
Value of:
memory Value of x: X memory
Value of y: Y memory
rand x values are stored in the last answer m
j6,4x= 6
r=
@uy = 4 = []
14,36r= 14
x=
@E = 36[] y =
Example Key operations
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
50/132
Calculations Using Physical Con
Recall a constant by pressing@c followed bphysical constant designated by a 2-digit number.
The recalled constant appears in the display mode
designated number of decimal places.
Physical constants can be recalled in the NORMAL
binary, pental, octal, or hexadecimal), STAT mode, Pmode.
Note: Physical constants are based either on the 20
mended values, or the 1995 Edition of the Gu
International System of Units (SI) released b
of Standards and Technology), or on ISO spe
01 Speed of light in vacuum
02 Newtonian constant of gravitation
03 Standard acceleration of gravity
04 Electron mass05 Proton mass
06 Neutron mass
07 Muon mass
08 Atomic mass unit-kilogram relationship
09 Elementary charge10 Planck constant
11 Boltzmann constant
12 Magnetic constant
No. Constant Sym
c, c
G
gn
memp
mn
m
lu
eh
k
Cha
-
7/28/2019 EL5250
51/132
24 Muon magnetic moment25 Compton wavelength
26 Proton Compton wavelength
27 Stefan-Boltzmann constant
28 Avogadro constant
29 Molar volume of ideal gas (273.15 K,101.325 kPa)
30 Molar gas constant
31 Faraday constant
32 Von Klitzing constant
33 Electron charge to mass quotient34 Quantum of circulation
35 Proton gyromagnetic ratio
36 Josephson constant
37 Electron volt
38 Celsius Temperature39 Astronomical unit
40 Parsec
41 Molar mass of carbon-12
42 Planck constant over 2 pi
43 Hartree energy44 Conductance quantum
45 Inverse fine-structure constant
46 Proton-electron mass ratio
No. Constant S
A
p
M
E
N
m
R
F
R
K
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
52/132
Calculations Using Engineering
Calculation can be executed in the NORMAL mode
STAT mode and PROG mode using the following 12
Prefix Operatio
E
PT
G
M
k
m
n
p
f
a
(Exa)
(Peta)(Tera)
(Giga)
(Mega)
(kilo)
(milli)
(micro)
(nano)
(pico)
(femto)
(atto)
@j0
@j1@j2
@j3
@j4
@j5
@j6
@j7
@j8
@j9
@jA
@jB
100m 10k = 100@j6k
10@j5e
Example Key operations
Cha
-
7/28/2019 EL5250
53/132
Modify Function
Calculation results are internally obtained in scien
digits for the mantissa. However, since calculation
the form designated by the display notation and t
places indicated, the internal calculation result ma
the display. By using the modify function, the inte
match that of the display, so that the displayed vachange in subsequent operations.
59=ANS j@J10
ANS9= 5z9e
[FIX,TAB=1] k9e*1
5z9e@n
k9e*2
@P0
*1
5.5555555555555101
9*2 0.69
Example Key operations
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
54/132
Solver Function
This function enables you to find any variable in an
Entering and solving an equation
The solver function is used as follows.
1. Pressb0 to enter the NORMAL mode.
2. Enter both sides of an equation, using = and v
3. PressI5.
4. Enter the value of the known variables.
5. Move the cursor (display) to the unknown varia
6. Press@h. The solver function can find any variable
anywhere in an equation. It can even find
variables that appear several times in an
equation.
You can use both global and local
variables in your equation. (See page 58.)
Using the solver function will cause variables m
with new values.
To exit the solver function, pressj.
Changing the value of variables and editiWhen you are in the solution display, presse toentering values of variables, then return to the equa
NORMAL d b i j
S l i ti
Cha
-
7/28/2019 EL5250
55/132
Solving an equation
Example
Try finding the variables in the equation be
A B C D =
1. Pressb0 to select the NORMAL
2. Press; Ak; B;
=; Ck; D.
You must enter the whole equation.
3. PressI5.
The calculator automatically calls the
display for entering variables and
displays the variables in alphabetical
order.
indicates that there are more
variables. If a variable already has a value, the calcu
automatically.
4. Press 10e.
Enters a value for known variable A.
The cursor moves onto the next
variable.
5. Press 5e.
Enters a value for known variable B.
Th l h th di l f th k
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
56/132
The value shown on the display for the unkn
have to be set to 0 to solve the equation.
The answer is displayed on the top line and hand and right-hand sides of the equation ap
8. Presse.
Returns you to the display for entering
variables.
9. Pressd 8e. Substitutes the value 8 for B.
The cursor moves onto the next variable
C.
10. Press@h. You can find any unknowns in the same
equation.
Important notes
There are several important points to remember wh
function.
To cancel calculation, pressj when calculat
Before entering the equation, the appropriate anselected.
The calculator uses Newtons method to solve e
there may be some equations that it fails to solv
Si l ti C l l ti (ALGB)
Cha
-
7/28/2019 EL5250
57/132
Simulation Calculation (ALGB)
This function enables you to find different solutionsets of values in the same expression.
Entering an expression for simulation c
The simulation calculation is used as follows.
1. Pressb0 to enter the NORMAL mod2. Enter an expression with at least one variabl
3. Press@G.
4. Enter the values of the variables. The calcula
after entering the value for all used variables
You can use both global and local variables
local variables will be stored if you save the e
You need enter only the side of the equation
Performing simulation calculation will cause
be overwritten with new values.
The answer calculated will be stored in last a
To exit simulation calculation, pressj.
Changing a value of variables and editi
When you are in the solution display, presse
entering values of variables, then return to the eqNORMAL mode by pressingj.
RH= RH
Simulate an equation for different values
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
58/132
Simulate an equation for different values
Example
Find the area S = bc sin A 2 when:
1 b = 3, c = 5 and A = 90 (DEG)
2 b = 3, c = 5 and A = 45 (DEG)
3 b = 4, c = 5 and A = 45 (DEG)
1. Pressb0 to select the NORMAL m
2. Press@J00j.
Sets the angular unit to DEG.
3. Press; B; Cv
; Az 2. The equation is entered in the normal
way.
4. Press@G.
The calculator automatically calls the
display for entering variables and picks
out the variables in alphabetical order.
If a variable already has a value, the
calculator displays that value automati-
cally.
indicates that there are more variables.5. Press 90e.
The calculator picks out the next
variable
8 Presse and then 45e
Cha
-
7/28/2019 EL5250
59/132
8. Presse and then 45e.
After getting the answer, presse to
return to the display for entering
variables.
9. Press@h.
Sides b and c are both the same length
in triangle2 as in triangle 1, so you do
not have to re-enter these values.
10. Presse and thend 4e@h.
Filing Equations
Chapter 3: Scientific Calculations
-
7/28/2019 EL5250
60/132
Filing Equations
When the calculator is in the NORMAL mode (exclusave equations in the EQUATION FILE. Saved equa
deleted in the NORMAL mode.
Pressf in the NORMAL mode to call the EQUA
Press0,1 or2 to select if anequation is to be loaded, saved or deleted,
respectively.
Saving an equation
You can save an equation as follows.
1. After entering an equation in the NORMAL
mode, press1 in the EQUATION FILEmenu.
The file name display appears asking you
to enter a title.
The calculator automatically locks ALPHA on talphabetic characters easily. To cancel the ALP
2. Enter the title of the file (up to seven
characters).
If you change your mind and no longer
want to save the equation, pressj.
Loading and deleting an equation
Cha
-
7/28/2019 EL5250
61/132
Loading and deleting an equation
The procedures to retrieve (load) and delete an e
the same, except that you have to confirm that yo
equation.
Retrieve or delete an equation as follows.
1. Pressf and then0 or2 to
retrieve (load) or delete.
2. Usedu to select the name of thefile you wish to retrieve (or delete),and
presse.
The display asks for confirmation if you
are deleting an equation. Pressy toproceed with deletion ore to cancelthe operation.
Note:
If the equation being retrieved contains
variable names and their values will be
equation.
Any other equation on the display and equation was retrieved are cleared.
-
7/28/2019 EL5250
62/132
Chapter 4:
-
7/28/2019 EL5250
63/132
Statistical CalculaThe STAT mode is used to perform statistical calc
Pressb1 to select the statistics mode. Thcalculations listed below can be performed. After
mode, select the desired sub-mode by pressing th
corresponds to your choice.
To change statistical sub-mode, reselect statistics
then select the required sub-mode.
0 (SD) : Single-variable statistics
1 (LINE) : Linear regression calculation
2 (QUAD) : Quadratic regression calculatio
3 (EXP) : Exponential regression calcula
4 (LOG) : Logarithmic regression calcula
5 (POWER) : Power regression calculation
6 (INV) : Inverse regression calculation
Chapter 4: Statistical Calculations
The following statistics can be obtained for each sta
-
7/28/2019 EL5250
64/132
g
to the table below):
UseI key to perform a STAT variable calculat
Single-variable statistical calculation
Statistics of 1 and value of the normal probability f
Q
n Number of samples
y Mean of samples (y data)
sy Sample standard deviation (y data)
W
r Correlation coefficient
a Coefficient of regression equation
b Coefficient of regression equation
c Coefficient of quadratic regression equa
Population standard deviation (y data)
x Mean of samples (xdata)
sx Sample standard deviation (xdata)
Population standard deviation (xdata)x
Sum of samples (xdata)x
x2 Sum of squares of samples (xdata)
y Sum of samples (y data)
y 2 Sum of squares of samples (y data)
xy Sum of products of samples (x, y )
y
Variables Contents
Chap
Quadratic regression calculation
-
7/28/2019 EL5250
65/132
Statistics of1 and 2 and coefficients a, b, cin th
formula (y = a + bx+ cx2). (For quadratic regressio
tion coefficient (r) can be obtained.)
Data Entry and Correction
All data entered is kept in memory until STAT me2y) is operated or a new STAT sub-modeentering new data, clear the memory contents.
Data entry
Single-variable data
Data_Data, frequency_(To enter multiple
Two-variable data
Datax,Datay_
Datax,Datay,frequency_ (Tsame dataxandy.)
Up to 100 data items can be entered. With sing
without frequency assignment is counted as on
assigned with frequency is stored as a set of tw
variable data, a set of data items without a freq
counted as two data items, while a set of items stored as a set of three data items.
Data correction
Correction after pressing_:
Chapter 4: Statistical Calculations
-
7/28/2019 EL5250
66/132
Useud to display the data set previous
Pressd to display the data set in ascendingreverse the display order to descending (latest
key.
Each data set is displayed with X=, Y=, or N:
number of the data set).
Display and move the cursor to the data item to
ud, input the correct value, then press To delete a data set, display and move the cu
data set to delete by usingud, then data set will be deleted.
To add a new data set, pressj to exit theentered data and input the values, then press
Example Key operations
X=z 75. 3.Data set number
X=z 4.Y= 3. 3.Data set number
Statistical Calculation Formulas
Chap
-
7/28/2019 EL5250
67/132
In the statistical calculation formulas, an error wil
The absolute value of an intermediate result or
to or greater than 1 10100. The denominator is zero.
An attempt is made to take the square root of a
No solution exists for a quadratic regression ca
Type RegressionLinear y = a + bx
Exponential y = a ebx
Logarithmic y = a + b ln x
Power y = a xb
Inverse y = a + b
Quadratic y = a + bx+ cx2
1x
xy =x1y1 +x2y2 + +xnyn y =y1 +y2 + +yn
x=x1 +x2 + +xn x2 =x12 +x2
2 + +
y =y
n
x = xn x= x2
nx2
n
y =
y2 ny2
n
Normal Probability Calculations
Chapter 4: Statistical Calculations
-
7/28/2019 EL5250
68/132
y
P(t), Q(t), and R(t) will always take positive valuesbecause these functions follow the same principle
an area.
Values for P(t), Q(t), and R(t) are given to six deci
x x
xt = Standardization conversion formula
Chap
Statistical Calculations Exampl
-
7/28/2019 EL5250
69/132
DATA
95
b10
80
95_
80
80_
75
_
75
75,3_
75
50_50
x = I01e
@P2y
= I03e
n = I00e
= I04e= I05e
sx = I02e
sx2 = Ae
(95
x) 10+50= (95-I01 sx zI02k1
+50e
x2
x
x
Example Key operations
p
Chapter 4: Statistical Calculations
Example Key operations
-
7/28/2019 EL5250
70/132
DATAb11
2 5 2,5_
2 5 _
12 24 12,24_
21 40 21,40,3_
21 40
15,25_21 40
I20e
15 25
I21e
I23e
I02e
I07e
x=3y'=? 3I25
y=46x'=? 46I24
b12
@P2y
@P2y
12,41_
8,13_
, _
x y12 41
8 13
x y
DATA
==
=
=
=
a
b
r
sx
sy
Chapter 5
-
7/28/2019 EL5250
71/132
Equation Solvers
Simultaneous Linear Equations
Simultaneous linear equations with two unknowns
unknowns (3-VLE) may be solved using this funct
1 2-VLE:b30
2 3-VLE:b31
If the determinant D = 0, an error occurs.
If the absolute value of an intermediate result oto or greater than 1 10100, an error occurs.
The results obtained by this function may includ
Example 1
2x+3y = 4 x= ?5x+6y = 7
y = ?
det(D) = ?
a1x+ b1y= c1a2x+ b2y = c2
D =
a1x+ b1y+ c1z = d1a2x+ b2y + c2z = d2
a3x+ b3y + c3z = d3
D =
Chapter 5: Equation Solvers
3. After inputting the last coefficient,
presse to solve the 2-VLE
-
7/28/2019 EL5250
72/132
presse to solve the 2-VLE.
After solving, presse orj toreturn to the coefficient entering display.
You can use@h to solve the 2-VLE, regardless of the cursor position.
Example 2
x+y-z = 9 x= ?
6x+6y-z = 17 y = ?
14x-7y+2z = 42 z = ?
det(D) = ?
1. Pressb31 to select 3-VLE of the EQN mode.
2. Enter the value of each coefficient
(a1, etc.)
1e 1eS 1e 9e
6e 6eS 1e 17e14eS 7e 2e 42
Coefficients can be entered using ordinary a
To clear the entered coefficients, pressj Pressd oru to move line by line. Preu to jump to the last or top line.
3. After inputting the last coefficient, presse
Pressd to display the det(D). After solving presse orj to
Quadratic and Cubic Equation
-
7/28/2019 EL5250
73/132
Quadratic (ax2 + bx + c = 0) or cubic (ax3 + bx2 + csolved using these functions.
1 Quadratic equation solver (QUAD):b32 Cubic equation solver (CUBIC):b3
If there are more than 2 results, the next solutio
The results obtained by this function may includ
Example 1
3x2 + 4x 95 = 0 x= ?
1. Pressb32 to select
QUAD of the EQN mode.2. Enter the value of each coefficient (a,
etc.)
3e 4eS 95
Coefficients can be entered using ordinary
To clear the entered coefficients, pressj Pressd oru to move line by line.
3 After inputting the last coefficient,
presse to solve the quadraticequation.
After solving, presse orj to
return to the coefficient entering display.
You can use@h to solve thequadratic equation, regardless of the curso
Example 2
5x3 + 4x2 +3x + 7 = 0 x = ?
Chapter 5: Equation Solvers
-
7/28/2019 EL5250
74/132
5x3 + 4x2 +3x+ 7 = 0 x= ?
1. Pressb33 to selectCUBIC of the EQN mode.
2. Enter the value of each coefficient (a, etc.)5e 4e 3e 7
Coefficients can be entered using ordinary a
To clear the entered coefficients, pressj Pressd oru to move line by line. Preu to jump to the last or top line.
3. After inputting the last coefficient,
presse to solve the cubicequation.
After solving, presse orj toreturn to the coefficient entering display.
You can use@h to solve thecubic equation, regardless of the cursor
position.
Chapter 6
-
7/28/2019 EL5250
75/132
Complex NumberCalculations
The CPLX mode is used to carry out addition, su
division of complex numbers. Pressb4 to
Results of complex number calculations are expre
1@E: Rectangular coordinates mode (xy2@u: Polar coordinates mode (r appea
Complex Number Entry
1 Rectangular coordinates are entered as foll
x-coordinate+ y-coordinateQ
or x-coordinate+Q y-coordinate
2 Polar coordinates are entered as follows:
rR
r: absolute value
:argument
On selecting another mode, the imaginary part
stored in the M memory will be cleared.
A complex number expressed in rectangular coequal to zero, or expressed in polar coordinates
zero, is treated as a real number.
PressI0 to return the complex conjuga
Chapter 6: Complex Number Calculations
Example Key operations
-
7/28/2019 EL5250
76/132
b4
(126i) + (7+15i)
(11+4i) =
(11+4Q)e
6(79i) 6k(7-9Q)
(5+8i) = k(S 5+8Q
16(sin30+ 16k(v30+icos30)(sin60+
icos60)=
@u8R70+1R25e
r1 = 8, 1 = 70
r2 = 12, 2 = 25
r= ?, = ?
(12-6Q)+
(7+15Q)-
Q$30)z(
Q$60)e
v60+
)e
Chapter 7
-
7/28/2019 EL5250
77/132
ProgrammingPROG mode
A program enables you to automate a series of ca
simple and complex. Programs are created either
mode or in the NBASE program mode.
Entering the PROG mode
1. Pressb2 to select the PROG
(PROGRAM) mode.2. Press0 to RUN a program, press1 to create a NEW program, press2 to EDIT a program, and press3
to DELETE a program.
Selecting the NORMAL program mode program mode
Before creating a new program (b21NORMAL program mode or the NBASE program
In the NORMAL program mode, you can perform
calculations and statistical operations. In the NBAperform logical operations and calculations using
Programming concept
Chapter 7: Programming
Keys and display
In the PROG mode, to make programs as simple as
-
7/28/2019 EL5250
78/132
, p g p
the display may work in a different manner to other are described below.
Pressi (thef key) to directly access the programming. The Filing Equation function does n
While entering a program name, keys are locked
LOCK) automatically. In a program, a single line can hold up to 159 lette
are counted as a single letter. As you type in a lin
the left. Lines do not wrap in the PROG mode.
Creating a NEW Program
After you name the program, the calculator automat
program under this name as you create it. You do no
program manually.
Creating a NEW program
1. Pressb2 to enter the PROG mode andcreate a NEW program.
The display prompts you to select the
NORMAL program mode or the NBASE
program mode.
2. For this example, press0 to select theNORMAL program mode.
The display prompts you to enter a
Use of variables
Global and local variables are treated differently i
-
7/28/2019 EL5250
79/132
y
The letters A Z and , used on their own, repr
Global variables correspond to the memories o
program means memory C of the calculator). G
programs to use values stored in memories, or
program to another. Global variables also allow
programs and use them in any mode. You can also name and use up to nine local var
variables retain values only in an individual prog
If a line in your program contains an equation
such as Y = M1X + 5, it sets the global variable
Y equal to (M1 X) + 5. On encountering this
equation while running the program, if thevalue of the local variable M1 has not been
defined earlier in the program, the calculator
prompts you with the display M1=? to enter a
value for M1. The global variable X will already
be set to the value last stored in that memory.
With just a little practice you will soon become
proficient at typing programs into your calculator.
Example
Create a simple program that requests inpu
and height (H1) of a triangle and then calcu
creating, RUN the program to determine th
base of 4 units and a height of 3 units.
2. Entering the program
Chapter 7: Programming
Program code Key o
-
7/28/2019 EL5250
80/132
To enter more than one alphabetic character, presthe alphabet-lock mode. Press; to escape fro
3. Running the program
PrintB=BASE i1@v
PrintH=HEIGHT
a=BASE;
i1@v
@a=HE
;A;=
e@vd
A=12BH
PrintAREA i1@a
i0;AePrint A
Program code Key o
Procedure
Return to the initial displayfor the PROG mode.
Select and RUN the program.
Enter 4 for B1
Enter 3 for H1
j
0(Select the prog
e
4e
3e
Key operations
Programming Commands
-
7/28/2019 EL5250
81/132
In this section, all commands that are available indescribed, excluding keyboard commands andI
Input and display commands
1. While creating a NEW or EDIT program,
pressi to access the COMMAND
menu.
The first page of the COMMAND menu is
displayed.
Pressd oru to scroll page by page.
You may directly enter a command by pressi
alphanumeric key without first having to disp
menu page.
Command DescriptionKey
operations
i0
i1
Print
Displays the value of tspecified variable. Theformat is determined bSET UP menu.
Displays the text ente
the quotation mark. If exceeds three lines, olast three lines will be
Print
Chapter 7: Programming
Command DescriptionKey
operations
-
7/28/2019 EL5250
82/132
i4
i5
Indicates the line is a reand not a command, thuallowing you to insert coin the program. Any linebeginning with Rem is igwhen running a program
Excessive use of this cowill use up a considerabamount of memory.
Terminates the programprogram finishes at the l
command, an End commnot required. If there is ncommand in the programlast calculated answer wdisplayed when the progfinishes.You can use more than
End command in the samprogram to terminate aftdifferent branches, subroetc. have been executed
Rem
End
Key
Flow control
-
7/28/2019 EL5250
83/132
i6
i7
i8
i9
i9
Label
Indicates a destinationthe flow statements GGosub. Up to seven lebe used for the label nEach label name musunique. You cannot ussame label name moronce in a program. Updifferent labels can beeach program.
Clear the text displayescreen.
Causes the program t
the stated Label (specLabel command). A Gstatement must have acorresponding Label s
The If clause must be by a conditional statemthen a Goto commandthe only command allo
be used after the If clacan enter;sthe Goto command to line easier to read.
Clrt
Goto
If
Goto
Command Descriptionoperations
Equalities and inequalities
These expressions are used to form the conditional
Chapter 7: Programming
-
7/28/2019 EL5250
84/132
clause. They are the basis for looping and other flowprograms.
The = (equals) sign is also used as a function to fo
command for variables.
You can also enter = by simply pressing;=
Symbols
iC=
Equals. This function is aused to form a substitutio
command that assigns anew value to a variable,including incrementing ordecrementing.
iD Less than=
iG Greater than>
iH Not equal to.
iE Less than or equal to.
-
7/28/2019 EL5250
85/132
In the PROG mode, statistical commands are onlNORMAL program mode is selected. If the NBAS
selected, the statistical command menu cannot b
When you use the STATx or STATxy commands
data previously stored in the STAT function.
Command DescriptionKey
operations
iI Selects single-varistatistics mode (SD
STATx
iJ Selects linear regrecalculation mode (
STATxy
iK Enters new statisticThe data format mconsistent with the
mode selected (sinvariable or linearregression). A statdata set entered inPROG mode cannaccessed later for STAT functions.
Data
Data
Data
Data
Editing a Program
Chapter 7: Programming
-
7/28/2019 EL5250
86/132
1. Pressb2 to enter the PROG mode andselect the EDIT mode.
2. Select the program you wish to edit and press
If you want to add text into your program, press
If you want to add lines into your program, pres
of the cursor will become a triangle) and then mbeginning of the line and presse to add a n
Remember that you can enter only one comma
special case of the IfGoto command. Do not
commands on a single line.
The line you modify is saved after you pressudo not wish to change the line, pressj twicpear at this point, however, the contents of the
To clear an entire line of a program, pressje. To delete a blank line, move the cursor toy.
Any blank lines will be ignored when running.
y deletes the character you have just entercursor position).
You can change the name of a program by ove
name. Pressu to move the cursor to the titname and presse.
3. Pressj to exit the EDIT mode.
Error Messages
Th l l t di l if
-
7/28/2019 EL5250
87/132
The calculator displays an error message if a proThe error message indicates the nature of the pro
can display the line where the problem has occur
After entering a program, it is often necessary to
easier, the calculator displays an error message i
while running your program.
For example, if you have more than one label
with the same name in your program, you will
see the message on the right.
To display the faulty line in the EDIT mode,
pressr orl. To return to the program
menu, pressj.
You can pressj to stop your program atany time while it is running. This will be
necessary if your program enters an endless
loop.
After BREAK! is temporarily displayed, theinitial PROG mode display will reappear. For a lis
the Appendix. (See page 120.)
Deleting Programs
Y t t ith
Chapter 7: Programming
-
7/28/2019 EL5250
88/132
You can create as many programs as you want withcalculators memory. To free up space for new progr
ones.
1. Pressb2 to enter the PROGmode.
2. Press3.
The delete window appears. All the stored
programs are listed.
3. Move the cursor to the program you wish
to delete and presse.
The calculator asks you if you are sure
you want to delete the program.
Pressy to delete the program oreto cancel this operation.
Chapter 8
A li ti E
-
7/28/2019 EL5250
89/132
Application ExamProgramming Examples
The following examples demonstrate the basic us
commands including print, input and flow controlsprogramming reference.
Some like it hot (Celsius-Fahrenheit co
This is a program to convert temperatures from C
vice versa.1. Pressb21 0 to open a
window for creating a NEW program.
2. Type TEMP for the program title then press
e.
A NEW program called TEMP will becreated.
3. Enter the program as follows.
See * below for further explanation.
Program code Key
Label START i6@e
Program code Key o
If T=1 Goto CTOF i8;
s i 9
Chapter 8: Application Examples
-
7/28/2019 EL5250
90/132
si9;e
If T=2 Goto FTOC i8;si9;e
Goto START i9@e
Label CTOF i6@e
F=(95)C+32 ; F ;=)@v32 e
Print F i0;
End i5e
Label FTOC i6@e
C=(59) (F-32) ; C ;=)k(ee-
* The program automatically
prompts you to enter a value for
the local variable C0.
* The program automatically
prompts you to enter a value for
The Heron Formula
Obtaining the area S of triangle with side
lengths of A B and C using the Heron
Ch
-
7/28/2019 EL5250
91/132
lengths of A, B and C using the HeronFormula which is true for any plane triangle.
1. Pressb210 to open awindow for creating a NEW program.
2. Type HERON for the program title then
press e. A NEW program called HERON will be
created.
3. Enter the program as follows.
Program code KeyLabel START i6@
e
PrintSIDE LENGTHS i1@LENGTHS ;
Input A i2;
Input B i2;
Input C i2;
If (A+B)
-
7/28/2019 EL5250
92/132
; T (;)(;
(; T -e
Print S i0;
End i5e
Label ERROR i6@e
PrintNO TRIANGLE i1@TRIANGLE ;
Wait 1 i3 1 e
PrintREENTER i1@e
Goto START i9@e
Example
Obtain the area of the triangle with the side length
and 40 cm (C).4. Pressj to return to the PROG mode men
2B or not 2B (N-base conversion)
The conversion functions and logical operations c
program mode The following is a simple program
Ch
-
7/28/2019 EL5250
93/132
program mode. The following is a simple programnumber to binary, pental, octal and hexadecimal f
1. Pressb211 to open awindow for creating a NEW program in
the NBASE program mode.
2. Type NBASE for the title then press e. A NEW program called NBASE will be crea
3. Enter the program as follows.
Program code Key
PrintENTER A i1@;e
PrintDECIMAL NUMBER i1@NUMBER ;
Input Y i2;
YBIN ; Y @
PrintBINARY i1@e
Print Y i0;
Wait i3e
Program code Key o
YOCT ; Y @g
i 1 @
Chapter 8: Application Examples
-
7/28/2019 EL5250
94/132
PrintOCTAL i1@e
Print Y i0;
Wait i3e
YHEX ; Y @h
PrintHEXADECIMAL i1@;e
Print Y i0;
Running the program
4. Pressj to return to the PROG mode men
5. Press 0, select the program NBASE and The program prompts you to enter a decimal n
it in binary format.
Press any key to display the number in pental fkey to see it in octal format, and again press an
hexadecimal format. Be careful when using the Wait command in NB
Numbers followed by Wait are processed acco
Ch
T test
The T-test value is obtained by comparing the me
and expected average from sample data. Using thli bili f l b l d
-
7/28/2019 EL5250
95/132
and expected average from sample data. Using threliability of a mean value can be evaluated.
Example
As SHOP sells cookies by package on which it isBuy 6 sample packages and check if the statem
Setting an expected mean value as 100 (m =
obtained. If it is larger than the expected t-va
distribution table (at 5% of risk rate), the esti
case, As SHOP does not sell honestly.)
Sample 1 2 3
grams 102 95 107 9
1. Pressb210 to open a window
2. Type TTEST for the title then press e.
A NEW program called TTEST will be creat
t =
m = expected mean value estimated by sample da
n = the number of samples
x = actual mean value of the samples
sx = standard deviation of the samples
x m
sx2
n
Chapter 8: Application Examples
Program code Key o
STATx i I e
D t 102 i K 102
-
7/28/2019 EL5250
96/132
Data 102 i K 102
Data 95 i K 95
Data 107 i K 107
Data 93 i K 93
Data 110 i K 110
Data 98 i K 98
PrintMEAN i 1 @
Input M i 2 ;
T=( -M)(sx ) ; T ; =1 - ;
* (II5 0
Print T i 0 ;
End i 5e
Running the program
Ch
A circle that passes through 3 points
When three different points, P (X1, Y1), Q (X2, Y2)
obtain the center coordinates O (X, Y) and the radpasses through these points
-
7/28/2019 EL5250
97/132
P (X1, Y
Y1Y
(X12+Y12-X22-Y22)(Y2Y3) (X22+Y22-X32
2{(X1X2)(Y2Y3) (X2X3)(Y1X =
(X12+Y12-X22-Y22)(X2X3) (X22+Y22-X32
2{(Y1Y2)(X2X3) (Y2Y3)(X1Y =
R = (X X1)2 + (Y Y1)2
GM HK2 (IM JK)
X = GJ HI2 (KJ MI)
Y =
( )passes through these points.
To satisfy the above conditions, thedistances between P, Q, S and O
should be equal. as they are theradius of the same circle. Therefore,
PO = QO = SO = R
Using the Pythagorean theorem,
PO2 = (X1 X)2 + (Y1 Y)2 = R2
QO2 = (X2 X)2 + (Y2 Y)2 = R2
SO2 = (X3 X)2 + (Y3 Y)2 = R2
then
To enhance both readability and writability of the variables G, H, I, J, K and M are used.
The above equations reduce to
1 Pressb2 1 0 to open a window
Program code Key o
H=X+Y-X-Y ; H ;=@
+@v3d d d d
Chapter 8: Application Examples
-
7/28/2019 EL5250
98/132
dddd-@vdY3 eeAe
I=X-X ; I ;=@@v2e
J=X-X ; J ;=@@v4e
K=Y-Y ; K ;=@@v3e
M=Y-Y ; M ;=@@v5e
X=(GM-HK)2(IM-JK) ; X ;=(; H ; K ); M -; J
Print X i0; X eWait i3e
Y=(GJ-HI)2(KJ-MI) ; Y ;=(; H ; I ); J -; M
Print Y i0; Y e
Wait i3e
* Perform equation1.
* Perform equation2.
Radioactive decay
Carbon-14 (14C) is a naturally occurring radioactiv
the carbon dating process. Because carbon-14 depossible to determine the age of a once living spe
Ch
-
7/28/2019 EL5250
99/132
possible to determine the age of a once living spe
residual amount of 14C it contains.
Example
This program asks for a original mass and curre
how old the specimen is. It then finds the half-lif
1. Pressb210 to open a winprogram.
2. Type DECAY for the title then press
e.
A NEW program called DECAY will be
created.3. Enter the program as follows.
The mass of 14C contained in a sample changequation
M = M0 ekt or t =
where M1 = Mass of14C at time t
M0 = Original mass of14C
k = Radioactive decay constant (for14C, k =
t = Elapsed time in years
M1
M0
k
ln ( )
Program code Key o
T=-(ln(MM)) ; T ;=
1.2118-4 (@vv 0 )
Chapter 8: Application Examples
-
7/28/2019 EL5250
100/132
M
T
Y
v0)S 4 e
Print T i0;
PrintYEARS i1@e
End i5e
The half-life of a radioactive isotope is the time
mass to decay.
Running the program
4. Pressj to return to the PROG mode men
5. Press 0, select the program
DECAY and press e.6. Enter 100 for M0 and 50 for M1.
Result
The half-life of 14C is 5719.980034 years.
Delta-Y impedance circuit transformati
Transformation of a Y impedance circuit to an equ
circuit and vice versa.The Delta-Y transformation is defined by the follow
Ch
-
7/28/2019 EL5250
101/132
1. Pressb210 to open a winprogram.
2. Type DELTAY for the title then press e.
A NEW program called DELTAY will be crea
3. Enter the program as follows.
Program code Key
Print(1)DELTA TO Y i1(DELTA s
Print(2)Y TO DELTA i1(s TO s
Z1
Z2
Z3
The Delta Y transformation is defined by the follow
R1 =
R2 =
R3 =
where Z
Z
Z
Z
Z1 =
Z2 =
Z3 =
where R = R1R2 + R2R3 + R3R1
RR2RR3RR1
Program code Key o
Z=Z+Z+Z ; Z ;=
ee+e e +
Chapter 8: Application Examples
-
7/28/2019 EL5250
102/132
ee+
d Z3 e
R=ZZZ @vde;=
@v1
Print R i0@
Wait i3e
R=ZZZ @vdee;1@ve
Print R i0@
Wait i3e
R=ZZZ @vdd R3 ev2@; Z e
Print R i0@
i 5 e
Program code Key
Wait i3e
Z=RR @v1
Ch
-
7/28/2019 EL5250
103/132
@ v 1z@v
Print Z i0@
Wait i3e
Z=RR @v2z@v
Print Z i0@
End i5e
Example
When the impedances Z1, Z2, Z3 of a delta impe
140 respectively, obtain the impedances R1, R2
4. Pressj to return to the PROG mode m
5. Press 0, select the program DELTAYand press e.
The direction of transformation will be
asked.
6. Press 1e to select DELTA TO Y tra
7. Enter 70 for Z1, 35 for Z2 and 140 for Z3.
Obtaining tensions of strings
Suppose a bar is hung from the ceiling by two string
with angles the strings make from the perpendicularweight of the bar is W, obtain the tensions in the str
Chapter 8: Application Examples
-
7/28/2019 EL5250
104/132
g
1. Pressb210 to open a windo
program.2. Type TENSION for the title then press e.
A NEW program called TENSION will be crea
3. Enter the program as follows.
Program code Key o
PrintANGLES i1@e
TA
Per
W
T
SB
A
= =
T = W
S = W
where W: weight
T, S: tension in strings
A, B: angles that strings make
from perpendicular lines(DMS)
G: gravity
S
sin A
T
sin B
W
sin (A + B)
sin B
sin (A + B)
sin Asin (A + B)
Program code Key
E=sin(C+D) ; E ;
+; D
Ch
-
7/28/2019 EL5250
105/132
S=W sin CE @a S; Cz
T=W sin DE @a T
; Dz
PrintTENSIONS i1@e
Print S i0;
Wait i3e
Print T i0;
End i5e
Example
Calculate the tension in the strings S and T whe
40 kg, angle A: 30 15' 20" and angle B: 27 45'
4. Pressj@J00 to set ththen @J103 to set disdecimal point of 3 .
In this program input angles by degree/minu
Purchasing with payment in n-month ins
If you wish to buy goods with the price of P by n-mo
program determines the payment per month.
Chapter 8: Application Examples
S (P D)i
-
7/28/2019 EL5250
106/132
1. Pressb210 to open a windoprogram.
2. Type PAYBYMN for the title then press e.
A NEW program called PAYBYMN will be crea3. Enter the program as follows.
Program code Key o
PrintPRICE i1@
e
Input P i2;
PrintDOWN PAYMENT i1@PAYMENT ;
Input D i2;
PrintMONTHS i1@
S = (P D)
where S: payment due every month n : n-month in
P: price of the product D: down paym
i: installment payment interest rate (%)
i1 (1 + i)n
Program code Ke
Print S i0;
Example
Ch
-
7/28/2019 EL5250
107/132
Example
If you wish to buy furniture costing $3,000 with
and pay the remainder in 11 months installmen
rate of 1%, how much is the monthly payment?
4. Pressj to return to the PROG mode m
5. Press 0, select the programPAYBYMN and press e.
6. Enter 3000 for P, 500 for D, 11 for N and 1
Result
Your monthly payment is approx. $241.
Digital dice
This program simulates rolling of multiple dice. You
play a dice game without dice or where there is notenough space to roll dice.
Chapter 8: Application Examples
-
7/28/2019 EL5250
108/132
At the first stage, ask the number of dice to use for and display the result and wait until any key is press
1. Pressb210 to open a window for
2. Type DICE for the title then press e. A NEW program called DICE will be created.
3. Enter the program as follows.
Program code Key o
PrintNO OF DICE i1@s DICE ;
Input N i2;
Label PLAY i6@
M=1 ; M ;=
X=0 ; X ;=
Label ROLL i6@
X=X+r.dice ; X ;=
w1e
M=M+1 ; M ;=
How many digits can you remember?
The calculator displays randomly created number
(up to 9) you specified for the number of secondsto enter the number you remembered. After 10 tri
The larger the number of digits and the shorter th
Ch
-
7/28/2019 EL5250
109/132
The larger the number of digits and the shorter th
score is.
1. Pressb210 to open a winprogram.
2. Type NUMBER for the title then press e
A NEW program called NUMBER will be cre
3. Enter the program as follows.
Program code Key
M=1 ; M ;
A=0 ; A ;
PrintHOW MANY DIGITS i1@s DIGITS
Label NINE i6@
PrintLESS THAN 9 DIGITS i1@THAN s ;DIGITS ;
Input N i2;
If N>9 Goto NINE i 8 ;
Program code Key o
If S
-
7/28/2019 EL5250
110/132
S=S 10 (-3) ; S ;=Y(S
If N>6 Goto SIX i8;
si9e
If N>3 Goto THREE i8;si9; e
Q=ipart(Sx10 N) ; Q ;=; Sk@e
Goto DISPLAY i9@e
Label SIX i6@
; Q ;=; Sk@- 6 ))+@w
Y 6 +@@Y 3 e
i 9 @
Q=ipart(S 10 (N-6)) 10 6
+random 10 6+random 10 3
Program code Key
Wait T i3;
Clrt i7e
Ch
-
7/28/2019 EL5250
111/132
PrintANSWER i1@e
Input X i2;
If X Q Goto WRONG i8;;si
;e
A=A+int(10 NT 3) ; A ;2( 1; Tk
Label WRONG i6@
e
M=M+1 ; M ;
If M
-
7/28/2019 EL5250
112/132
The orbit of a satellite about the Earth is
geosynchronous if the period of the orbit matches
the period of the Earths rotation. At what distance
from the center of the Earth can geosynchronous
orbit occur?The period of an orbit is described by the equation
The Earth rotates once every 23 hours, 56 minutes
first, convert this time into seconds.
1. Pressb0 23 [ 56 [ 4.09[I6.
Determining the value of T.
2. Pressx T to store the result as globalvariable T.
3. Press @J114.
Select the scientific display format with
T2 =
where T = period of orbit
G = Gravitational constant (6.6742 1011 m3 kgM = Mass of the Earth (5.976 1024 kg)
r = Distance between the satellite and the center
42
GMr3
6. Press @c 02 e 5.976 ` 24e.
Use the physical constants function for theG value.
After completion of entering values for variab
Ch
-
7/28/2019 EL5250
113/132
After completion of entering values for variabmoves on to variable R. (The variable T has
7. Press @h.
Result
Geosynchronous orbit is possible approxi-
mately 42,170 km (4.217 107 meters) fromthe center of the Earth.
Twinkle, twinkle, little star (Apparent m
The apparent magnitude of a star is a
measure of how bright it appears. It is a
function of how far away the star is andthe luminosity of the star.
Since stars are seen from different
distances, their luminosities must bestandardized before they can be
compared. This is done using a quantity called th
which is a measure of how bright that star would
a distance of 10 parsecs (about 32.6 light years).
f f
Example 1
What is the ratio of the suns luminosity to that of a
magnitude of 2.89?(The suns absolute magnitude is 4.8.)
The former equation is equivalent to
Chapter 8: Application Examples
-
7/28/2019 EL5250
114/132
The former equation is equivalent to
1. Pressb0 and @P0.
2. Press @Y( 0.4k(4.8 - 2.89 ))e.
Result5.807644175
The star is nearly six times as luminous as the sun
Example 2
A second star has only 0.0003 times the luminositabsolute magnitude?
The previous equation is equivalent to
1 P 4 8 - (l 0 0003z 0 4 )
M2 = M1
where = 0.0003
L2
L1
L2
L1
log
0.4
= 10 0.4 (M1 M2)
whereM2 = 2.89L2
L1
Ch
Memory calculations
When you want to use the calculator for tasks suc
you can perform this type of operation using sing
Example
-
7/28/2019 EL5250
115/132
Example
In one week, an electrical store sold the items li
and in the quantities shown. What was the total
Item Price Quant
TV set $599.95 10
Phone $159.95 27
Clock $39.95 52
Calculator $7.95 108
1. Pressb10 to select the single-
2. Press 599.95 , 10 _, 159.95, 27 _, 39.95 , 52 _ and
7.95 , 108 _. All the data is entered.
3. PressI04e.
The calculator displays x, that is the total
sales value.
Result
Total sales were $13254 15
The state lottery
Example
The state you live in has two different numbers lotmust pick 6 numbers between 1 and 50 in any ord
Chapter 8: Application Examples
-
7/28/2019 EL5250
116/132
p y
have to pick 5 numbers between 1 and 35, but you
correct order. Which lottery gives you the better ch
In the first lottery, your chances of winning with on
1. Pressb0 50 @N 6 e.
Your chances of winning the second lottery with
35P5:
2. Press 35 @e 5 e.
Result
Your chances are better in the first lottery.
Appendix
Battery Replacement
-
7/28/2019 EL5250
117/132
Batteries used
Use only the specified batteries.
Be sure to write down any important data
before replacing the batteries.
Notes on battery replacement
Improper handling of batteries can cause electrol
Be sure to observe the following handling rules:
Do not mix new and old batteries.
Make sure the new batteries are the correct typ
When installing, orient each battery correctly as
Batteries are factory-installed before shipment,
before reaching the service life stated in the spe
When to replace the batteriesReplace the batteries immediately when any of th
Type Model Quantity
Lithium battery CR2032 2
Appendix
Cautions
Fluid from a leaking battery accidentally entering
serious injury. Should this occur, wash with clean consult a doctor.
Should fluid from a leaking battery come in contac
-
7/28/2019 EL5250
118/132
clothes, immediately wash with clean water.
If the product is not to be used for some time, to a
from leaking batteries, remove them and store in a
Do not leave exhausted batteries inside the produ Do not fit partially used batteries, and be sure not
different types.
Keep batteries out of the reach of the children.
Exhausted batteries left in the calculator may leak
calculator.
Explosion risk may be caused by incorrect handlin Do not throw batteries into a fire as they may exp
Replacement procedure
All memory contents will be cleared if you re
at the same time. Always replace each batterthe other one.
Make sure the power is turned off before replacin
Do not pressj until the battery replacemen
1. Turn the power off by pressing@o.
2. Remove the two screws.
4. Remove one used battery by prying it out wi
pointed object.
Replace one battery at this step.
-
7/28/2019 EL5250
119/132
5. Install a new battery with the positive side (+
6. Repeat steps 4 and 5 to replace the other ba
7. Replace the cover and screws.
8. Press the RESET switch using the tip of a
ball-point pen or similar object.
If you cannot see the message on the
right, repeat steps 17.
Appendix
The OPTION menu
The OPTION menu controls display contrast, memo
of data.
The OPTION display
-
7/28/2019 EL5250
120/132
The OPTION display
Press@o (S key) to show theOPTION menu.
Pressj to return to the mode in whichyou were working previously.
Contrast
Press0 in the OPTION menu to show theLCD CONTRAST display.
Press+ to darken the display and- to lighten it.
It is possible to lighten the display so much
that the calculator appears to be off. If the disp
you pressX, press@o0 and th
repeatedly to darken the display.
Memory check
Press1 in the OPTION menu to show theMEMORY CHECK display.
The amount of free memory in bytes isshown on the first line. When the
calculator is used for the first time, the
Deleting equation files and programs
Press2 in the OPTION menu to show theDELETE menu.
Press0 or1 to delete equationfiles or programs that have been stored
-
7/28/2019 EL5250
121/132
in the NORMAL or PROG modes,
respectively.
After selecting the mode for which data is to be d
delete data. Presse to cancel the operation.
Once a file has been deleted there is no w
To delete individual files, enter the mode that con
delete and use the specific delete function from th
and 86.)
If an Abnormal Condition Occu
Should an abnormal condition occur, such as non
j) functioning, press the RESET switch locate
calculator. Refer to page 32.
Appendix
Error Messages
The following table shows common error messages
correcting the error.
Error no. Error message
-
7/28/2019 EL5250
122/132
g
Verify you are uthe function you
Check you havezero or made so
Use of more thabuffers was attebuffers* for numfor calculation in
* 5 buffers in the
Make sure yoursame label namone location.
Make sure yourGotoor Gosubclabel that does n
can include labeby Gotoor Gosuaffecting progra
Make sure yourmore than 20 la
Make sure your
more than 10 lesubroutines.
Make sure your
SYNTAX
CALCULATION
NESTING
LBL DUPLICATE
LBL UNDEFINED
LBL OVER
GOSUB STACK
CANT RETURN
01
02
03
04
05
06
07
08
Using the Solver Function Effec
The calculator uses Newtons method to solve eq
Because of this, the solution it provides may diffe
an error message may be displayed for a soluble
shows how you can obtain a more acceptable sol
-
7/28/2019 EL5250
123/132
shows how you can obtain a more acceptable sol
soluble in such cases.
Newtons method
Newtons method is a successive
approximation technique that uses
tangential lines. The calculator chooses
an approximate solution then calculates
and compares the right-hand and left-
hand sides of the equation. Based on theresult of this comparison, it chooses
another approximate solution. It repeats
this process until there is hardly any
discrepancy between the right-hand and
left-hand sides of the equation.
Dead end approximations
When@h is pressed for the firsttime, the calculator takes the value that is stored
value is stored, to be the initial expected value fo
tries to solve the equation. If it fails to find an accexpected value, it tries again using up to nine mo
until a solution is found. If none of the values
So
y
NeIntetheapp
Ne
Calculation accuracy
The calculator solves an equation by comparin
hand and right-hand sides of the equation thro
operations. If the value of the left-hand side is s
agreeing with that of the right-hand side the ca
of the approximate values as a solution eve
Appendix
-
7/28/2019 EL5250
124/132
of the approximate values as a solution eve
solution.
The calculator will also stop trying to solve an
either when it has performed more than 50 iterexpected value or when it has obtained an app
the same (to 10-digit accuracy) twice in succes
Changing the range of expected values
After entering your equation by pressing
I5, press@J to adjust the
range of expected values. The calculator will
then prompt you for a range of expected
values (between 1 1099 and +1 1099) to
be used in the calculation.
The range of expected values returns to its def+1 1010) when the current equation is cleared
After entering the lower and upper limits (a and b) o
values, pressj to return to the previous display
The best solution can be found by defining the
b) or initial value close to the expected solution Having done this, press@h several tim
different solutions You can judge which of thes
Equations that are difficult to solve
Newtons method has problems in solving
certain types of equations, either because
the tangential lines it uses to approximate the
solutions iterate only slowly toward the
correct answer or because they do not
-
7/28/2019 EL5250
125/132
correct answer, or because they do not
iterate there at all. Examples of such
equations include equations of which steep
slopes are a feature (e.g. y = 10x
5), periodicfunctions (e.g. y = sin x), functions featuring
an inflection (e.g. y = x33x2 + x + 5) and
functions where the unknown variable
appears as a denominator (e.g. y = 8/x + 1).
Many of those equations may become
soluble if a range of expected values is
defined that corresponds closely to the real
solution.
For periodic functions such as sin x andcos x, the gradient near peaks or
troughs is very shallow. If the initial
expected value falls too close to a peak
or trough, the calculator may iterate to
a totally different cycle of the function
and will not obtain an accurate solution.Make sure the initial expected value is
an appropriate distance between a
SBtcbo
SIcws
Appendix
Technical Data
Calculation ranges Within the ranges specified, the calculator i
least significant digit of the mantissa. Howe
-
7/28/2019 EL5250
126/132
calculations the calculation error increases
accumulation of each successive calculatio
same for yx,x , n!, ex, Inetc., where continu
performed internally.)
Furthermore, the calculation error will accu
larger in the vicinity of inflection points and
functions, and in programmed repetitive cal
Calculation ranges
10-99 to 9.999999999 1099 and 0.
If the absolute value of an entry or a final or interme
calculation is less than 10-99, the value is considered
and on the display.
Function DynamicDEG: |x| < 1010
(tanx: |x|
sinx, cosx, RAD: |x| < 101
tanx (tanx: |x|
GRAD: |x| < 101
(tanx: |x|
180
109
Function Dynam
ex 10100
-
7/28/2019 EL5250
127/132
nPr0 r n 999999999
< 10100
nCr
0 r n 9999999990 r 69
< 10100
DEG, DMS 000.00001 |x| <
x,yr, x2 +y2 < 10100
0 r< 10100
DEG: | | < 1010
r, x,y RAD: | | <
GRAD | | 10
n!(n-r)!
n!(n-r)!
180
10
sinh1x |x| < 1050
cosh1x 1 x< 1050
tanh1x |x| < 1
x2 |x| < 1050
x3 |x| < 2.15443469 1
x 0 x< 10100
x1 |x| < 10100 (x 0)
n! 0 n 69*
__
Appendix
Function Dynamic
DEC DEC : |x| 99999999
BIN BIN : 1000000000PEN 0 x 111111
OCT PEN : 2222222223 HEX 0 x 2222222
-
7/28/2019 EL5250
128/132
BIN : 1000000000 0 x 111111
PEN : 2222222223
NOT
0 x 2222222
OCT : 4000000000 0 x 3777777
HEX : FDABF41C01 0 x 2540BE
BIN : 1000000001 0 x 111111
PEN : 2222222223
NEG0 x 2222222
OCT : 4000000001 0 x 3777777
HEX : FDABF41C01
0 x 2540BE
* n, r: integer
AND OCT : 4000000000 OR 0 x 3777777
XOR HEX : FDABF41C01 XNOR 0 x 2540BE
ManagementCharacte
commandsvariable
Program title
If A=0 Goto ABC
A=A+1
32 bytes
3 bytes
3 bytes
8 bytes
5 bytes
-
7/28/2019 EL5250
129/132
3 bytes 5 bytes
Total consumption 38 bytes 13 byte
Filing Equation functions
Each stored equation uses 30 bytes plus the num
commands.
Priority levels in calculations
Operations are performed according to the follow
Fractions (14, etc.)
, engineering prefixes
Functions preceded by their argument (x1
, x2
Yx, x
Implied multiplication of a memory value (2Y, e
Functions followed by their argument (sin, cos
Implied multiplication of a function (2sin30, etc
nCr, nPr
,
Specifications
Model: EL-5230/5250
Display type: [14 characters and 2
Dot matrix characters: 5 7 dots /characte
Number of display digits: 10 digit mantissa +
Appendix
-
7/28/2019 EL5250
130/132
Number of display digits: 10-digit mantissa +
Input ranges: 10-99 to 9.999999
(up to 10-digit mantiNumber of internal
calculation digits: 14-digit mantissa
Pending operations: 24 calculations 10 n
values in the CPLX
Calculation functions: Calculations (four baoperations, calculati
memory calculations
etc.), differential/inte
pental/octal/decimal
solver functions, sim
complex number caStatistical calculations: One-variable statisti
normal probability ca
Equation solvers: Simultaneous linear
quadratic/cubic equa
Programming function: New programming, editing a program an
O i LCD
Dimensions: 79.6 mm (W) 15
3-1/8 (W) 6-3/3
Weight: Approx. 97 g (0.22
but not including h
Accessories: 2 lithium batteries
manual, quick refe
-
7/28/2019 EL5250
131/132
, q
* This value may vary according to the way the c
factors.
For More Information about Scientific C
Visit our Web site.
http://sharp-world.com/calculator/
This equipment complies with the requirements of Directive 868/EEC.
Dieses Gert entspricht den Anforderungen der EG-Richtlinie68/EWG.
Ce matriel rpond aux exigences contenues dans la directive directive 93/68/CEE.
Dit apparaat voldoet aan de eisen van de richtlijn 89/336/EEG
Dette udstyr overholder kravene i direktiv nr. 89/336/EEC me
Quest apparecchio conforme ai requisiti della direttiva 89/3direttiva 93/68/EEC.
89/336/
In Europe:
-
7/28/2019 EL5250
132/132
SHARP CORPORATION
04LGK (TINSE0796EHZZ)PRINTED IN CHINA / IMPRIM EN CHINE / IMPRESO EN CHINA