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 Â Â Â Â 2 Â Â Â Â Â 6 Â Â Â Â Â 5 Â Â Â Â 6 Â Â Â Â Â 6 Â Â Â Â Â 6
Step 2:Â
Replace  each octal number with a number by its Octal equivalent.
- Â 5 Â Â Â Â 2 Â Â Â Â Â 6 Â Â Â Â Â 5 Â Â Â Â 6 Â Â Â Â Â 6 Â Â Â Â Â 6
- Â 101 Â Â Â Â 010 Â Â Â Â Â 110 Â Â Â Â Â Â 101 Â Â Â Â Â 110 Â Â Â Â Â 110 Â Â Â Â Â Â 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 Â Â Â Â 2 Â Â Â Â Â 6 Â Â Â Â Â 5 Â Â Â Â 6 Â Â Â Â Â 4 Â Â Â Â Â 6
Step 2:Â
Replace  each octal number with a number by its Octal equivalent.
- Â 3 Â Â Â Â 2 Â Â Â Â Â 6 Â Â Â Â Â 5 Â Â Â Â 6 Â Â Â Â Â 4 Â Â Â Â Â 6
- Â 011 Â Â Â Â 010 Â Â Â Â Â 110 Â Â Â Â Â Â 101 Â Â Â Â Â 110 Â Â Â Â Â 100 Â Â Â Â Â Â 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 |