Octal to Binary Converter
Convert octal to binary instantly — type on the left and the result appears on the right. Everything runs in your browser, nothing is uploaded.
How to convert octal to binary
Each octal digit stands for exactly three binary bits, so converting octal to binary is a direct digit-by-digit expansion.
Method: 3 bits map to one octal digit, so you just group and swap.
- Take each octal digitHandle one octal digit at a time.
- Write its 3-bit value0 = 000 up to 7 = 111 — always three bits.
- Join the groupsKeep them in order to get the binary number.
Examples 32 = 11010377 = 11111111
Octal to Binary Table
Common octal values with their binary equivalents.
| Octal | Binary |
|---|---|
| 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 |
| 200 | 10000000 |
| 377 | 11111111 |
| 400 | 100000000 |
| 1000 | 1000000000 |
| 1750 | 1111101000 |
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Frequently asked questions
How do you convert octal to binary?
Replace each octal digit with its 3-bit binary value (0 = 000 … 7 = 111) and keep the order. So 65 becomes 110 101.
What is 7 in binary?
7 is 111 — three bits, the largest octal digit.
Where is octal used?
Most often in Unix and Linux file permissions, such as chmod 755.