Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number...

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Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,000 10,000 1,000 100 10 1 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Based on the powers of 10 (see handout) 1, 10, 100, 1000, 10000, 100000, …

Transcript of Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number...

Page 1: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Decimal Review

105 104 103 102 101 100

100,000 10,000 1,000 100 10 1

Decimal ~ Base 10 number system10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Based on the powers of 10 (see handout)1, 10, 100, 1000, 10000, 100000, …

Page 2: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Decimal Example

2657 = 2000 + 600 + 50 + 7

= 2*1000 + 6*100 + 5*10 + 7*1

= 2*103 + 6*102 + 5*101 + 7*100

Place the corresponding digits in the decimal chart for the number: 830157

Page 3: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Binary!

Counting with 1s and 0s

Page 4: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Binary

Base 2 number system2 different numbers: 0, 1

Based on the powers of 2 (see handout)1, 2, 4, 8, 16, 32, …

25 24 23 22 21 20

32 16 8 4 2 1

Page 5: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Example

10112 = 1*23 + 0*22 + 1*21 + 1*20

= 1*8 + 0*4 + 1*2 + 1*1

= 8 + 2 + 1 = 1110

Place the corresponding digits in the binary chart for the number: 001101

What is it in decimal (base 10)?

Page 6: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Examples

1) Draw the powers of 2 table2) Place the following numbers in the table3) Determine the decimal version!

000112 = ?

011112 = ?

1010112 = ?

Page 7: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

ON-OFF-ON-ON

1 0 1 1

Page 8: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Haha!

"There are only 10 types of people in the world: Those who understand binary, and those who don't"

Page 9: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Decimal Binary

Page 10: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Review

Each binary digit (bit) is a power of 2

... 27 26 25 24 23 22 21 20

... 128 64 32 16 8 4 2 1

...

Page 11: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Decimal Binary

1. Write out the powers of 22. Subtract the largest power of 2 that is less than

your number3. Make note of which power of 2 you subtracted with

a 1 (unused powers of 2 will be 0)4. Subtract the next largest power of 2 from the result

that you have5. Repeat until you reach 06. Build your binary number from the 1s and 0s that

you have placed

Page 12: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Examples

1510 = ?

4910 = ?

... 27 26 25 24 23 22 21 20

... 128 64 32 16 8 4 2 1

...

Page 13: Decimal Review 10 5 10 4 10 3 10 2 10 1 10 0 100,00010,0001,000100101 Decimal ~ Base 10 number system 10 different numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8,

Convert the following from decimal to binary

810 = ?

2510 = ?

8310 = ?


Expressas a decimal. Expressas a decimal. Convertto a decimal..

Expressas a decimal. Expressas a decimal. Convertto a decimal..

The Building Blocks: Binary Numbers, Boolean Logic, … · •For example: 10, 10001, 10110 •Similar to decimal, except uses a different base •Binary (base-2): 0, 1 ... Decimal

The Building Blocks: Binary Numbers, Boolean Logic, … · •For example: 10, 10001, 10110 •Similar to decimal, except uses a different base •Binary (base-2): 0, 1 ... Decimal

1.4.Basic Decimal 10 @ 4

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Ch.0 & Ch.1 Introduction to Microcontrolleryjunpark/micro_ch0_ch1.pdf · • Binary: – Convert binary to decimal •Example – Convert to decimal number 2 1 0 256 10 =2 5+ 6×10

Ch.0 & Ch.1 Introduction to Microcontrolleryjunpark/micro_ch0_ch1.pdf · • Binary: – Convert binary to decimal •Example – Convert to decimal number 2 1 0 256 10 =2 5+ 6×10

Converting Colors - Decimal(255) · 20-07-2020 5/29 convertingcolors.com Conversions Conversions Part 2 Format Color RYB 0, 0, 255 Decimal 255 CIELab 32.30, 79.20, -107.86 CIELCh

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Computer Programming · Representing Characters •Character •For purposes of this course, a character is a byte •28 characters: 00000000 (decimal 0) through 11111111 (decimal

Computer Programming · Representing Characters •Character •For purposes of this course, a character is a byte •28 characters: 00000000 (decimal 0) through 11111111 (decimal

Convert to...FRACTION TO DECIMAL EXAMPLES: 1 3 1 5 8 9 To write a FRACTION as a PERCENT, first turn it into a decimal, then move the decimal 2 times to the right. 0 To turn a DECIMAL

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MIPS Assembly Language Programming - UCSB …franklin/64/lectures/mipsassembly...2 CHAPTER 1. DATA REPRESENTATION Figure 1.1: Binary and Decimal Numbers Binary Decimal 0 = 0 1 = 1

MIPS Assembly Language Programming - UCSB …franklin/64/lectures/mipsassembly...2 CHAPTER 1. DATA REPRESENTATION Figure 1.1: Binary and Decimal Numbers Binary Decimal 0 = 0 1 = 1

Hexadecimal number system€¦ · Hexadecimal Number . System •Hex means six ; decimal means ten •Hence Hexadecimal means 6 and 10 i.e. 16 •Decimal (Base 10) uses 10 digits

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Dcap 10 Sistema Metrico Decimal y Numeros Denominados

Dcap 10 Sistema Metrico Decimal y Numeros Denominados

DECIMAL EQUIVALENTS CHART - Fastenal DECIMAL EQUIVALENTS CHART DECIMAL EQUIVALENTS CHART Drill Size Decimal Inches Drill Size Decimal Inches Drill Size Decimal Inches Drill Size Decimal

DECIMAL EQUIVALENTS CHART - Fastenal DECIMAL EQUIVALENTS CHART DECIMAL EQUIVALENTS CHART Drill Size Decimal Inches Drill Size Decimal Inches Drill Size Decimal Inches Drill Size Decimal

Bitwise operators. Representing integers We typically think in terms of decimal (base 10) numbers. Why? A decimal (or base 10) number consists of.

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The ASCII Character Codes - Home - Springer978-1-4471-0267-0/1.pdf · Appendix A The ASCII Character Codes I Decimal Octal Hex.Meaning I Decimal Octal Hex.Meaning I 0 0 0 null 26

The ASCII Character Codes - Home - Springer978-1-4471-0267-0/1.pdf · Appendix A The ASCII Character Codes I Decimal Octal Hex.Meaning I Decimal Octal Hex.Meaning I 0 0 0 null 26

Chapter 4 – Combinational Functions and Circuits · Encoder Example A decimal-to-BCD encoder • Inputs: 10 bits corresponding to decimal digits 0 through 9, (D0, …, D9) • Outputs:

Chapter 4 – Combinational Functions and Circuits · Encoder Example A decimal-to-BCD encoder • Inputs: 10 bits corresponding to decimal digits 0 through 9, (D0, …, D9) • Outputs:

Representing and Manipulating Integers Part Icsl.skku.edu/uploads/SSE2030F12/11-int1.pdf · is an octal number in C •Decimal: 0 10 to 255 10 –First digit must not be 0 in C •Hexadecimal:

Representing and Manipulating Integers Part Icsl.skku.edu/uploads/SSE2030F12/11-int1.pdf · is an octal number in C •Decimal: 0 10 to 255 10 –First digit must not be 0 in C •Hexadecimal:

int i = 10; /* decimal 10 */ int i = 010; /* decimal 8 ... · PDF fileInteger constants can be decimal (base 10), hexadecimal (base 16), binary (base 2), or ... All constants starting

int i = 10; /* decimal 10 */ int i = 010; /* decimal 8 ... · PDF fileInteger constants can be decimal (base 10), hexadecimal (base 16), binary (base 2), or ... All constants starting

Positional Number Systems M260 1.5. Decimal Review 5049 = 5(1000) + 0(100) + 4(10) + 9(1) 5049 = 5·10 3 + 0·10 2 + 4·10 1 + 9·10 0 place10 3 10 2 10 1.

Positional Number Systems M260 1.5. Decimal Review 5049 = 5(1000) + 0(100) + 4(10) + 9(1) 5049 = 5·10 3 + 0·10 2 + 4·10 1 + 9·10 0 place10 3 10 2 10 1.

Numbering systemslms.uop.edu.jo/moodle/pluginfile.php/5680/mod_resource/content/0... · (0.828125)10 =(0.110101)2 ... • Example: Convert the following decimal number into octal

Numbering systemslms.uop.edu.jo/moodle/pluginfile.php/5680/mod_resource/content/0... · (0.828125)10 =(0.110101)2 ... • Example: Convert the following decimal number into octal

Beyond Base 10: Non-decimal Based Number Systems

Beyond Base 10: Non-decimal Based Number Systems

Digital Techniques Lecture Notes LECTURER Ibtesam … of... · The following table gives the binary equivalent values for 0-15 (decimal): ... Decimal No. 3 103 10 2 10 1 100 Binary

Digital Techniques Lecture Notes LECTURER Ibtesam … of... · The following table gives the binary equivalent values for 0-15 (decimal): ... Decimal No. 3 103 10 2 10 1 100 Binary