Octal to Binary Conversion

• Each digit of the Octal number is replaced by an equivalent binary string of 3-bits.

Example 1:

Problem:

How to convert this 5265666 number into its Binary equivalent?

Solution:

Step 1: Separate each of the Octal number

• 5        2          6           5         6          6           6

Step 2: 

Replace  each octal number with a number by its Octal equivalent.

•   5        2          6           5         6          6           6
•   101        010           110            101          110           110            110

See the table below to understand that how these octal numbers are converted into binary number.

Note: Binary strings which can not be divided into equal number of 3- bit groups are supposed to have 0’s  in the left of the bits.

Example 2:

 

Problem:

How to convert this 3265646 number into its Binary equivalent?

Solution:

Step 1: Separate each of the Octal number

• 3        2          6           5         6          4           6

Step 2: 

Replace  each octal number with a number by its Octal equivalent.

•   3        2          6           5         6          4           6
•   011        010           110            101          110           100            110

See the table below to understand that how these octal numbers are converted into binary number.

Decimal	Binary	Octal
0	000	0
1	001	1
2	010	2
3	011	3
4	100	4
5	101	5
6	110	6
7	111	7