How to convert octal to binary ?

Let's convert the octal number into binary numbers.


One octal value = combination of 3 binary bits.

Octal Number System
Binary Number System

Example

3 Binary Bits

Octal

000

0

001

1

010

2

011

3

100

4

101

5

110

6

111

7


In order to convert the octal number into binary, we need to express every octal value into 3 binary bits.





(53)8 in Binary

Binary equivalent of 5 is (101)2.

Binary equivalent of 3 is (011)2.

(53)8

(101)(011)

(101011)2




(631)8 in Binary

Binary equivalent of 6 is (110)2.

Binary equivalent of 3 is (011)2.

Binary equivalent of 1 is (001)2.

(631)8

(110)(011)(001)

(110011001)2


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