Octal to Binary Converter
Convert octal (base-8) to binary (base-2). Each octal digit expands directly into 3 binary bits — no intermediate decimal step required.
Common Values
How It Works
Replace each octal digit with its 3-bit binary equivalent: 0=000, 1=001, 2=010, 3=011, 4=100, 5=101, 6=110, 7=111. Concatenate and remove leading zeros. For example, 377 → 011 111 111 → 11111111.
Worked Examples
| Octal | Binary |
|---|---|
| 7 | 111 |
| 10 | 1000 |
| 17 | 1111 |
| 77 | 111111 |
| 100 | 1000000 |
| 177 | 1111111 |
| 377 | 11111111 |
Related Conversions
Frequently Asked Questions
- How do I convert octal to binary?
Replace each octal digit with its 3-bit binary group: 0→000, 1→001, 2→010, ..., 7→111. Concatenate all groups and remove leading zeros.
- What is 377 in binary?
Octal 377 in binary is 11111111. Each 3 maps to 011 and each 7 to 111, giving 011111111 → 11111111.
- How are octal and binary related?
8 = 2³, so one octal digit maps to exactly 3 binary bits. This means converting between the two is a simple digit substitution.
- What is octal 777 in binary?
Octal 777 in binary is 111111111 (nine 1-bits). Each 7 expands to 111.