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Binary! 0010100100110010010101

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Binary!. 0010100100110010010101. Why do computers use binary?. Easy to detect the state of a switch – they’re either on or off! Using another base makes computers more prone to error. Counting. In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1. 0. Counting. - PowerPoint PPT Presentation

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Page 1: Binary!

Binary!0010100100110010010101

Page 2: Binary!

Why do computers use binary?

• Easy to detect the state of a switch – they’re either on or off!

• Using another base makes computers more prone to error.

Page 3: Binary!

Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

0

Page 4: Binary!

Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

1

Page 5: Binary!

Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

10

Page 6: Binary!

Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

11

Page 7: Binary!

Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

100

Page 8: Binary!

Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

101

Page 9: Binary!

Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

110

Page 10: Binary!

Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

111

Page 11: Binary!

Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

1000

Page 12: Binary!

Places

10111’s

Page 13: Binary!

Places

10112’s

Page 14: Binary!

Places

10114’s

Page 15: Binary!

Places

10118’s

Page 16: Binary!

Places

101120

4853100

Page 17: Binary!

Places

101121

4853101

Page 18: Binary!

Places

101122

4853102

Page 19: Binary!

Places

101123

4853103

Page 20: Binary!

Translating Binary to Decimal

1011 1

Page 21: Binary!

Translating Binary to Decimal

1011 12 +

Page 22: Binary!

Translating Binary to Decimal

1011 12 +0 +

Page 23: Binary!

Translating Binary to Decimal

1011 12 +0 +8 +

Page 24: Binary!

Translating Binary to Decimal

101100

Answer: 44

Page 25: Binary!

Translating Binary to Decimal

10001110

Answer: 142

Page 26: Binary!

Zorah’s favorite things about Binary

Adding is the easiest. EVER.

1 0 0 1 0 1

1 1 0 1 1 0

1

Page 27: Binary!

Zorah’s favorite things about Binary

Adding is the easiest. EVER.

1 0 0 1 0 1

1 1 0 1 1 0

1 1

Page 28: Binary!

Zorah’s favorite things about Binary

Adding is the easiest. EVER.

1 0 0 1 0 1

1 1 0 1 1 0

0 1 1

Page 29: Binary!

Zorah’s favorite things about Binary

Adding is the easiest. EVER.

1 0 0 1 0 1

1 1 0 1 1 0

1 0 1 1

Page 30: Binary!

Zorah’s favorite things about Binary

Adding is the easiest. EVER.

1 0 0 1 0 1

1 1 0 1 1 0

1 1 0 1 1

Page 31: Binary!

Zorah’s favorite things about Binary

Adding is the easiest. EVER.

1 0 0 1 0 1

1 1 0 1 1 0

0 1 1 0 1 1

Page 32: Binary!

Zorah’s favorite things about Binary

Adding is the easiest. EVER.

1 0 0 1 0 1 3 7

1 1 0 1 1 0 5 41 0 1 1 0 1 1

9 1

Page 33: Binary!

Zorah’s favorite things about Binary

Dividing by 2 is neat-o

1 0 1 1 0 0

4 4

Page 34: Binary!

Zorah’s favorite things about Binary

Dividing by 2 is neat-o

0 1 0 1 1 0

2 2

Page 35: Binary!

Zorah’s favorite things about Binary

Dividing by 2 is neat-o

0 0 1 0 1 1

1 1

Page 36: Binary!

Zorah’s favorite things about Binary

Dividing by 2 is neat-o

0 0 0 1 0 1 . 15 . 5

Page 37: Binary!

Zorah’s favorite things about Binary

Dividing by 2 is neat-o

0 0 0 1 0 . 1 12 . 7 5

Page 38: Binary!

Zorah’s favorite things about Binary

You can count to, like, a bajillion on your fingers in binary.

Try it. I know you want to.

Page 39: Binary!

“There are 10 types of people in the world: those who understand binary and those who don’t.”