Converter
Encoding
NumberOctal to Binary Converter
Convert octal numbers to binary with step-by-step calculation. Simple and accurate octal to binary conversion tool.
Octal to Binary Converter
Convert octal numbers to binary format. This tool provides step-by-step conversion process showing how each octal digit is converted to its 3-digit binary equivalent.
What is octal to binary conversion?
Octal to binary conversion is the process of converting a base-8 number to a base-2 number. Each octal digit (0-7) is directly converted to its 3-digit binary equivalent.
How do you convert octal to binary?
To convert octal to binary:
1. Take each octal digit
2. Replace it with its 3-digit binary equivalent
3. Combine all binary digits
Example: 17₈ = 001 111₂ = 1111₂
What is the octal to binary conversion table?
The conversion table is:
- 0₈ = 000₂
- 1₈ = 001₂
- 2₈ = 010₂
- 3₈ = 011₂
- 4₈ = 100₂
- 5₈ = 101₂
- 6₈ = 110₂
- 7₈ = 111₂
Why is octal useful in computing?
Octal is useful in computing because:
- Easy conversion to binary (3 octal digits = 9 binary digits)
- More compact than binary
- Used in Unix file permissions
- Common in some programming contexts
Octal to Binary Conversion Table
| Octal | Binary | Decimal | Description |
|---|---|---|---|
| 0 | 000 | 0 | Zero |
| 1 | 001 | 1 | One |
| 2 | 010 | 2 | Two |
| 3 | 011 | 3 | Three |
| 4 | 100 | 4 | Four |
| 5 | 101 | 5 | Five |
| 6 | 110 | 6 | Six |
| 7 | 111 | 7 | Seven |
| 10 | 1000 | 8 | Eight |
| 11 | 1001 | 9 | Nine |
| 12 | 1010 | 10 | Ten |
| 17 | 1111 | 15 | Fifteen |
| 20 | 10000 | 16 | Sixteen |
| 40 | 100000 | 32 | Thirty-two |
| 100 | 1000000 | 64 | Sixty-four |
| 200 | 10000000 | 128 | One hundred twenty-eight |
| 377 | 11111111 | 255 | Two hundred fifty-five |
| 400 | 100000000 | 256 | Two hundred fifty-six |
