Introduction to Computer Lesson 7.0
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Transcript of Introduction to Computer Lesson 7.0
![Page 1: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/1.jpg)
Introduction to Computer Lesson VII
By: Vhonz SugatanPOWER School
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Last week…
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Number System
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Number System
Decimal to Binary Conversion of Fraction
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Number System
Decimal to Binary Conversion of Real Values
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Number System
Binary to Decimal Conversion of Real Values
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Number System
Binary Addition
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Number SystemBinary Subtraction
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Number SystemBinary Subtraction
0 - 0 =
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Number SystemBinary Subtraction
0 - 0 = 0
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Number SystemBinary Subtraction
0 - 0 = 01 - 0 =
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Number SystemBinary Subtraction
0 - 0 = 01 - 0 = 1
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Number SystemBinary Subtraction
0 - 0 = 01 - 0 = 11 - 1 =
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Number SystemBinary Subtraction
0 - 0 = 01 - 0 = 11 - 1 = 0
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Number SystemBinary Subtraction
0 - 0 = 01 - 0 = 11 - 1 = 00 - 1 =
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Number SystemBinary Subtraction
0 - 0 = 01 - 0 = 11 - 1 = 00 - 1 = 0
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Number SystemBinary Subtraction
0 - 0 = 01 - 0 = 11 - 1 = 00 - 1 = 0 With a borrow of 1
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Number SystemExample:
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Number SystemExample:
1010
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Number SystemExample:
1010100
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Number SystemExample:
1010100
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Number SystemExample:
1010100
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Number SystemExample:
1010100
0
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Number SystemExample:
1010100
0
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Number SystemExample:
1010100
0
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Number SystemExample:
1010100
10
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Number SystemExample:
1010100
10
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Number SystemExample:
1010100
10
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Number SystemExample:
1010100
10
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Number SystemExample:
1010100
10
2
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Number SystemExample:
1010100110
2
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Number SystemExample:
1010100110
20
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Number SystemExample:
1010
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Number SystemExample:
1010101
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Number SystemExample:
1010101101
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Number SystemExample:
1000111111
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Number SystemExample:
1000111111
10100
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Number SystemExample:
1000.1111.01
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Number SystemExample:
1000.1111.01
101.10
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Number SystemExample:
100001111
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Number SystemExample:
100001111
1
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Number SystemThe One’s Compliment Method
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Number SystemThe One’s Compliment Method
11010
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Number SystemThe One’s Compliment Method
11010 is 00101
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Number SystemThe One’s Compliment Method
111101
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Number SystemThe One’s Compliment Method
111101000010
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Number SystemExample:
110011(Base2)
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Number SystemExample:
110011(Base2)
11101(Base2)
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Number SystemStep 1:
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Number SystemStep 1:Get the one’s compliment of subtrahend
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Number SystemStep 1:Get the one’s compliment of subtrahend.
The one’s compliment of 11101is 00010
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Number SystemStep 2:
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Number SystemStep 2:Get the binary sum of the minuend and the one’s compliment of the subtrahend.
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Number SystemStep 2:Get the binary sum of the minuend and the one’s compliment of the subtrahend.
110011 + 00010 = 110101
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Number SystemStep 3:
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Number SystemStep 3:Add the and-around carry by taking the leftmost digit of the binary sum and adding it with the first digit.
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Number SystemStep 3:
110101
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Number SystemStep 3:
110101
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Number SystemStep 3:
101011+
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Number SystemStep 3:
101011+
10110
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Number SystemStep 3:
101011+
10110
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Number SystemBinary Multiplication
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Number SystemBinary Multiplication
0 x 0 =
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Number SystemBinary Multiplication
0 x 0 = 0
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Number SystemBinary Multiplication
0 x 0 = 01 x 0 =
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Number SystemBinary Multiplication
0 x 0 = 01 x 0 = 0
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Number SystemBinary Multiplication
0 x 0 = 01 x 0 = 00 x 1 =
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Number SystemBinary Multiplication
0 x 0 = 01 x 0 = 00 x 1 = 0
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Number SystemBinary Multiplication
0 x 0 = 01 x 0 = 00 x 1 = 01 x 1 =
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Number SystemBinary Multiplication
0 x 0 = 01 x 0 = 00 x 1 = 01 x 1 = 1
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Number SystemExample
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Number SystemExample 111
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Number SystemExample 111
101x
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Number SystemExample 111
101x111
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Number SystemExample 111
101x111
000
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Number SystemExample 111
101x111
000111
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Number SystemExample 111
101x111
000111+
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Number SystemExample 111
101x111
000111+
100011
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Number SystemExample 101
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Number SystemExample 101
101x
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Number SystemExample 101
101x101
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Number SystemExample 101
101x101
000
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Number SystemExample 101
101x101
000101
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Number SystemExample 101
101x101
000101+
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Number SystemExample 101
101x101
000101+11001
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Number SystemExample 11.00
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Number SystemExample 11.00
10.10x
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Number SystemExample 11.00
10.10x00 00
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Number SystemExample 11.00
10.10x00 00
110 0
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Number SystemExample 11.00
10.10x00 00
110 00000
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Number SystemExample 11.00
10.10x00 00
110 00000
1100
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Number SystemExample 11.00
10.10x00 00
110 00000
1100+
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Number SystemExample 11.00
10.10x00 00
110 00000
1100+
1111000
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Number SystemExample 11.00
10.10x00 00
110 00000
1100+
111.1000
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Number SystemBinary Division
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Number SystemBinary Division
0 / 1 =
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Number SystemBinary Division
0 / 1 = 0
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Number SystemBinary Division
0 / 1 = 01 / 1 =
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Number SystemBinary Division
0 / 1 = 01 / 1 = 1
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Number SystemBinary Division
0 / 1 = 01 / 1 = 11 / 0 =
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Number SystemBinary Division
0 / 1 = 01 / 1 = 11 / 0 = is undefined
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Number SystemExample
100 1100
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Number SystemExample
100 1100
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Number SystemExample
100 1100
![Page 105: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/105.jpg)
Number SystemExample
100 1100
![Page 106: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/106.jpg)
Number SystemExample
100 11001
![Page 107: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/107.jpg)
Number SystemExample
100 11001
100
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Number SystemExample
100 11001
100-
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Number SystemExample
100 11001
100-10
![Page 110: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/110.jpg)
Number SystemExample
100 11001
100-100
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Number SystemExample
100 110011
100-100
![Page 112: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/112.jpg)
Number SystemExample
100 110011
100-100100
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Number SystemExample
100 110011
100-100100-
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Number SystemExample
100 110011
100-100100-000
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Number System
The Octal Number System
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Number SystemDecimal to Octal Conversion
![Page 117: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/117.jpg)
Number SystemDecimal to Octal ConversionExample:
Convert 56(base 10) to its octal equivalent.
![Page 118: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/118.jpg)
Number SystemDecimal to Octal ConversionExample:
Division Quotients Remainders56 / 8
![Page 119: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/119.jpg)
Number SystemDecimal to Octal ConversionExample:
Division Quotients Remainders56 / 8 7
![Page 120: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/120.jpg)
Number SystemDecimal to Octal ConversionExample:
Division Quotients Remainders56 / 8 7 0
![Page 121: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/121.jpg)
Number SystemDecimal to Octal ConversionExample:
Division Quotients Remainders56 / 8 7 07 / 8
![Page 122: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/122.jpg)
Number SystemDecimal to Octal ConversionExample:
Division Quotients Remainders56 / 8 7 07 / 8 0
![Page 123: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/123.jpg)
Number SystemDecimal to Octal ConversionExample:
Division Quotients Remainders56 / 8 7 07 / 8 0 7
![Page 124: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/124.jpg)
Number SystemDecimal to Octal ConversionExample:
Division Quotients Remainders56 / 8 7 07 / 8 0 7
![Page 125: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/125.jpg)
Number SystemDecimal to Octal ConversionExample:
56(base 10) is equivalent to 70(base8)
![Page 126: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/126.jpg)
Number SystemDecimal to Octal Conversion
5687
560
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Number SystemDecimal to Octal Conversion
8 7
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Number SystemDecimal to Octal Conversion
8 7.0
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Number SystemDecimal to Octal Conversion
8 7.00.
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Number SystemDecimal to Octal Conversion
8 7.00.8
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Number SystemDecimal to Octal Conversion
8 7.00.8
64
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Number SystemDecimal to Octal Conversion
8 7.00.8
64
![Page 133: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/133.jpg)
Number SystemDecimal to Octal Conversion
8 7.00.8
64
6
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Number SystemDecimal to Octal Conversion
8 7.000.8
64
60
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Number SystemDecimal to Octal Conversion
8 7.000.87
64
60
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Number SystemDecimal to Octal Conversion
8 7.000.87
64
6056
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Number SystemDecimal to Octal Conversion
8 7.000.87
64
6056
![Page 138: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/138.jpg)
Number SystemDecimal to Octal Conversion
8 7.000.87
64
6056
4
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Number SystemDecimal to Octal Conversion
8 7.0000.87
64
6056
40
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Number SystemDecimal to Octal Conversion
8 7.0000.875
64
6056
40
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Number SystemDecimal to Octal Conversion
8 7.0000.875
64
6056
4040
![Page 142: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/142.jpg)
Number SystemDecimal to Octal Conversion
8 7.0000.875
64
6056
4040
0
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Number SystemDecimal to Octal ConversionSeat Work
![Page 144: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/144.jpg)
Number SystemDecimal to Octal ConversionSeat Work
1.) 171 base10 to base82.) 1254 base10 to base83.) 1573 base10 to base8
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Number SystemOctal to Decimal Conversion
![Page 146: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/146.jpg)
Number SystemOctal to Decimal ConversionExample:
Convert 70(base 8) to its decimal equivalent.
![Page 147: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/147.jpg)
Number SystemOctal to Decimal ConversionExample:70 base8
7 0
![Page 148: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/148.jpg)
Number SystemOctal to Decimal ConversionExample:70 base8
7 0x8 x8
![Page 149: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/149.jpg)
Number SystemOctal to Decimal ConversionExample:70 base8
7 0x8 x8+
![Page 150: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/150.jpg)
Number SystemOctal to Decimal ConversionExample:70 base8
7 0x8 x8+01
![Page 151: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/151.jpg)
Number SystemOctal to Decimal ConversionExample:70 base8
7 0x8 x8+01
0
![Page 152: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/152.jpg)
Number SystemOctal to Decimal ConversionExample:70 base8
7 0x8 x8+01
056
![Page 153: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/153.jpg)
Number SystemOctal to Decimal ConversionExample:70 base8
7 0x8 x8+01
56 + 0
![Page 154: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/154.jpg)
Number SystemOctal to Decimal ConversionExample:70 base8
7 0x8 x8+01
56 +56
0
![Page 155: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/155.jpg)
Number SystemOctal to Decimal ConversionExample:
Convert 36471(base 8) to its decimal equivalent.
![Page 156: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/156.jpg)
Number SystemOctal to Decimal ConversionExample:
3x8+6x8+4x8+7x8+1x801234
![Page 157: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/157.jpg)
Number SystemOctal to Decimal ConversionExample:
3x8+6x8+4x8+7x8+1x801234
1
![Page 158: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/158.jpg)
Number SystemOctal to Decimal ConversionExample:
3x8+6x8+4x8+7x8+1x801234
156
![Page 159: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/159.jpg)
Number SystemOctal to Decimal ConversionExample:
3x8+6x8+4x8+7x8+1x801234
156256
![Page 160: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/160.jpg)
Number SystemOctal to Decimal ConversionExample:
3x8+6x8+4x8+7x8+1x801234
1562563072
![Page 161: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/161.jpg)
Number SystemOctal to Decimal ConversionExample:
3x8+6x8+4x8+7x8+1x801234
156256307212288
![Page 162: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/162.jpg)
Number SystemOctal to Decimal ConversionExample:
3x8+6x8+4x8+7x8+1x801234
156256307212288 ++++
![Page 163: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/163.jpg)
Number SystemOctal to Decimal ConversionExample:
3x8+6x8+4x8+7x8+1x801234
156256307212288 ++++
= 15673
![Page 164: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/164.jpg)
Number SystemOctal to Binary Conversion
![Page 165: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/165.jpg)
Number SystemOctal to Binary ConversionOCTAL
NUMBERBINARY
EQUIVALENT
0 000
1 001
2 010
3 011
4 100
5 101
6 110
7 111
![Page 166: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/166.jpg)
Number SystemOctal to Binary ConversionExample:
![Page 167: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/167.jpg)
Number SystemOctal to Binary ConversionExample:
Convert 13(base 8) to its binary equivalent.
![Page 168: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/168.jpg)
Number SystemOctal to Binary ConversionExample:
1 (base8) in binary is equal to 001
![Page 169: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/169.jpg)
Number SystemOctal to Binary ConversionExample:
1 (base8) in binary is equal to 001 3 (base8) in binary is equal to 011
![Page 170: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/170.jpg)
Number SystemOctal to Binary ConversionExample:
1 (base8) in binary is equal to 001 3 (base8) in binary is equal to 011 Therefore 13 (base8) is equal
to 001011 or 1011
![Page 171: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/171.jpg)
Number SystemOctal to Binary ConversionExample:
Convert 765(base 8) to its binary equivalent.
![Page 172: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/172.jpg)
Number SystemOctal to Binary ConversionExample:
7 (base8) to binary is 111
![Page 173: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/173.jpg)
Number SystemOctal to Binary ConversionExample:
7 (base8) to binary is 111 6 (base8) to binary is 110
![Page 174: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/174.jpg)
Number SystemOctal to Binary ConversionExample:
7 (base8) to binary is 111 6 (base8) to binary is 110 5 (base8) to binary is 101
![Page 175: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/175.jpg)
Number SystemOctal to Binary ConversionExample:
7 (base8) to binary is 111 6 (base8) to binary is 110 5 (base8) to binary is 101
Therefore 765 (base8) is equal to 111110101
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Number SystemBinary to Octal Conversion
![Page 177: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/177.jpg)
Number SystemBinary to Octal ConversionExample:
Convert 10101010(base2) to its octal equivalent.
![Page 178: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/178.jpg)
Number SystemBinary to Octal ConversionStep 1:
Arrange the binary into groups of 3.
![Page 179: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/179.jpg)
Number SystemBinary to Octal ConversionStep 1:
Arrange the binary into groups of 3.
10101010
![Page 180: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/180.jpg)
Number SystemBinary to Octal ConversionStep 1:
Arrange the binary into groups of 3.
10101010
![Page 181: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/181.jpg)
Number SystemBinary to Octal ConversionStep 2:
For each group, convert each digit to decimal by multiplying it by its positional value.
![Page 182: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/182.jpg)
Number SystemBinary to Octal ConversionStep 2:GROUP CONVERSION TO OCTAL
010 0x2+1x2+0x2 = 2101 1x2+0x2+1x2 = 510 1x2+0x2 = 2
![Page 183: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/183.jpg)
Number SystemBinary to Octal ConversionStep 2:GROUP CONVERSION TO OCTAL
010 0x2+1x2+0x2 = 2101 1x2+0x2+1x2 = 510 1x2+0x2 = 2
![Page 184: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/184.jpg)
Number SystemBinary to Octal Conversion
Therefore the 10101010 (base2) is equivalent to 252 (base8)
![Page 185: Introduction to Computer Lesson 7.0](https://reader037.fdocuments.in/reader037/viewer/2022102616/55cd72febb61ebf2448b46d3/html5/thumbnails/185.jpg)
Number System
The Hexadecimal
Number System