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 |