# Binary Numbers | MathCaptain.com

6 = 4 + 2 = 1 × 22 + 1 × 2 1 + 0 × 20

1+1= 2 1 + 1 = 10

0+0= 0 1+0= 1 0+1= 1 1 + 1 = 10

10

2

0−0= 0 1−0= 1 1−1= 0 10 − 1 = 1

Addition and subtraction of binary numbers is done column wise.

0×0= 0 1×0= 0 0×1= 0 1×1= 1

10111 = 1 × 2 4 + 0 × 2 3 + 1 × 2 2 + 1 × 2 1 + 1 × 2 0 16 + 0 + 4 + 2 + 1

23

1 × 2 2 + 1 × 2 1 + 1 × 20

111 1111

4+2+1

1 × 2 3 + 1 × 2 2 + 1 × 21 + 1 × 2 0

7 8+4+2+1

15 2 − 1, 2 − 2, 2 − 3. . . 0.110

2 −1

+1×

2 −2

+0×

2−3

1

1

2

4

0

0.75

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## Binary Numbers | MathCaptain.com

6 = 4 + 2 = 1 × 22 + 1 × 2 1 + 0 × 20 1+1= 2 1 + 1 = 10 0+0= 0 1+0= 1 0+1= 1 1 + 1 = 10 10 2 0−0= 0 1−0= 1 1−1= 0 10 − 1 = 1 Addition and subtra...

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