Binary Numbers Explained

Place

11th

10th

9th

8th

7th

6th

5th

4th

3rd

2nd

1st

Base 2

210

29

28

27

26

25

24

23

22

21

20

Decimal value

1024

512

256

128

64

32

16

8

4

2

1

In binary, base 2 numbers are used instead of base 10. Base2 numbers consist of ones and zeros. The chart above shows the relation between decimal and binary numbers. By using this chart you can identify any binary number that goes up to eleven places.

To use the chart simply plug the numbers in binary into For example if you had 1101100 as a binary number it would be 108 in decimal form, or 11011111010 in binary it would be 1786 in decimal form. You can also use this chart backwards to, if you had 48 in decimal form, it would be 110000 in binary form.

Examples:

11010= 1 x 24 + 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20


11010= 16 + 8 + 0 + 2 + 1

11010= 28

 

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