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Binary Lesson 2 Bytes

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Binary Lesson 2Bytes

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

147

Hundreds placeNumber of hundreds

10^2

Ones placeNumber of ones

10^0

Tens placeNumber of tens

10^1

Binary Numbers

Each place has one of these values:

0 1

11 = 1 * 2 + 1 = 3

Or 1*2^1 + 2^0

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

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

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

Binary iClicker Questions

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