Octal to Binary Converter
Convert octal numbers to binary. Converting octal to binary shows which individual permission or flag bits are set, three bits per octal digit.
Octal to Binary converter
Result
- Binary
- —
- Octal
- —
- Decimal
- —
- Hexadecimal
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How to convert octal to binary
Replace each octal digit with its 3-bit binary group, and join the groups.
Example: 234 (octal) to binary
| Octal digit | 3-bit group |
|---|---|
| 2 | 010 |
| 3 | 011 |
| 4 | 100 |
| 1-bit group | Binary digit |
|---|---|
| 1 | 1 |
| 0 | 0 |
| 0 | 0 |
| 1 | 1 |
| 1 | 1 |
| 1 | 1 |
| 0 | 0 |
| 0 | 0 |
234 in octal = 10011100 in binary.
Examples
- 12 (octal) = 1010 (binary)
- 234 (octal) = 10011100 (binary)
- 377 (octal) = 11111111 (binary)
- 1750 (octal) = 1111101000 (binary)
Octal to Binary conversion table
| Octal (base 8) | Binary (base 2) |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 10 | 1000 |
| 11 | 1001 |
| 12 | 1010 |
| 13 | 1011 |
| 14 | 1100 |
| 15 | 1101 |
| 16 | 1110 |
| 17 | 1111 |
| 20 | 10000 |
| 24 | 10100 |
| 40 | 100000 |
| 62 | 110010 |
| 100 | 1000000 |
| 144 | 1100100 |
| 177 | 1111111 |
| 200 | 10000000 |
| 377 | 11111111 |
| 400 | 100000000 |
| 1000 | 1000000000 |
| 1750 | 1111101000 |
| 2000 | 10000000000 |
The table lists the same whole numbers for every pair of bases.
Frequently asked questions
- What is 377 in binary?
- 377 in octal is 11111111 in binary.
- How do I convert octal to binary by hand?
- Replace each octal digit with its 3-bit binary group, and join the groups.
- What digits does octal use?
- Octal uses the digits 0 to 7. Octal is best known from Unix file permissions: chmod 755 is three octal digits, one for owner, group and others.
- What is binary used for?
- Computers store and process everything as binary digits (bits). Eight bits make one byte.