math1003 1.12 - binary addition

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MATH1003 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 1.12 Binary Addition

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Page 1: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

1.12Binary Addition

Page 2: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Goal

To correctly apply the rules of binary addition.

Page 3: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules of Binary Addition

Page 4: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules of Binary Addition

Rule 1

0+0

0

Page 5: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Page 6: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Page 7: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 4

11

+111

Page 8: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111

111012

Page 9: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 101002

+ 10012

111012

Page 10: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 101002

+ 10012

111012

Page 11: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 101002

+ 10012

111012

Page 12: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 101002

+ 10012

111012

Page 13: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 101002

+ 10012

111012

Page 14: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 101002

+ 10012

111012

Page 15: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 101002

+ 10012

111012

Page 16: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

Page 17: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

0

Page 18: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

1

0

Page 19: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

1

00

Page 20: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

1

00

1

Page 21: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

1

000

1

Page 22: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

1

000

11

Page 23: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

1

0000

11

Page 24: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

1

00001

11

Page 25: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 10112

+ 1012

2

1

00001

11

Page 26: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

Page 27: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

0

Page 28: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

0

Page 29: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

00

Page 30: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

00

1

Page 31: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

000

1

Page 32: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

000

11

Page 33: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

0001

11

Page 34: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

0001

111

Page 35: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

00011

111

Page 36: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

00011

11

0

1

Page 37: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

1

00011

11

01

1

Page 38: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1011012

+ 1010112

2

1

00011

11

01

1

Page 39: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

Page 40: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

1

Page 41: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

10

Page 42: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

10.

Page 43: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

10

1

.

Page 44: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

100

1

.

Page 45: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

100

11

.

Page 46: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

1001

11

.

Page 47: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

1001

111

.

Page 48: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

10010

111

.

Page 49: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

1

10010

111

.

Page 50: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

1

10010

11

0

1

.

Page 51: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

1

10010

11

01

1

.

Page 52: Math1003 1.12 - Binary Addition

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Examples of Binary Addition

Rule 1

0+0

0

Rule 2

0+1

1

1+0

1

Rule 3

1+110

Rule 411

+111 1110.102

+ 011.112

2

1

10010

11

01

1

.