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Tuesday, August 14, 2007

Binary and Decimal

How to convert “Binary to Decimal” and “Decimal to Binary”?

Remember this chart

Binary Evaluation

2^4

2^3

2^2

2^1

2^0


Value

Decimal

Number

Decimal Value

16

8

4

2

1



1

0

1

0

>

8+0+2+0

10

1

0

1

1

0

>

16+0+4+2+0

22

1

1

0

0

1

>

16+8+0+0+1

25

1

1

1

1

1

>

16+8+4+2+1

31


Example:

  1. Decimal to Binary

31-16=15

15-8=7

7-4=3

3-2=1

Example:

  1. Binary to Decimal

11111

(1*2^4)=16

(1*2^3)=8

(1*2^2)=4

(1*2^1)=2

(1*2^0)=1

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