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# Binary Lesson 2 Bytes PowerPoint PPT Presentation

Binary Lesson 2 Bytes. Base Ten. Normal Numbers Each place has one of these values: 0 1 2 3 4 5 6 7 8 9 147 = 1*100 + 4*10 + 7 Or 1*10^2 + 4*10^1 + 7*10^0. Base Ten. 1 4 7. Hundreds place Number of hundreds 10^2. Ones place Number of ones 10^0. Tens place Number of tens 10^1.

Binary Lesson 2 Bytes

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## Binary Lesson 2Bytes

### Base Ten

Normal Numbers

Each place has one of these values:

0 1 2 3 4 5 6 7 8 9

147 = 1*100 + 4*10 + 7

Or 1*10^2 + 4*10^1 + 7*10^0

### Base Ten

147

Hundreds placeNumber of hundreds

10^2

Ones placeNumber of ones

10^0

Tens placeNumber of tens

10^1

### Base Two

Binary Numbers

Each place has one of these values:

0 1

11 = 1 * 2 + 1 = 3

Or 1*2^1 + 2^0

### Base Two

101

Fours placeNumber of fours

2^2

Ones placeNumber of ones

2^0

Twos placeNumber of twos

2^1

Base TwoBase Ten

0 0

1 1

10 2

11 3

100 4

101 5

110 6

111 7

### Counting to 15

Base Two Base TenBase Two Base Ten

0 0 1000 8

1 1 1001 9

10 2 1010 10

11 3 1011 11

100 4 1100 12

101 5 1101 13

110 6 1110 14

111 7 1111 15

4s

2s

1s

8s

1001

### Eight Bits Make a Byte

128s

64s

64s

32s

32s

32s

16s

16s

16s

8s

8s

8s

8s

4s

4s

4s

4s

2s

2s

2s

1s

1s

10011001

So this number is

128 + 16 + 8 + 1 = 153

00111111

00011110

00000111

00000110

00000011

1 of 6

00111111

00011111

00001111

00000111

00000011

2 of 6

00011010

00100000

01000000

10000000

00011111

3 of 6

11111111

10000011

00101111

00111101

00111011

4 of 6

10

100

128

64

32

5 of 6

87

109

111

127

255

6 of 6