Binary to octal converter with calculation table
Group binary digits from the radix point in threes (pad with zeros) and replace each group with one octal digit 0–7—the pair page includes side-by-side sample tables.
Detailed answer
Because 8 = 2³, each octal digit maps to exactly three bits. Use the **Binary to Octal** dedicated page for fixed input/output plus the same quick conversion tables used across number-system FAQs. Enter binary with optional 0b; the tool converts via integer parsing, so the grouping idea matches what you see in the result.
Relationship context
Octal was historically popular for 12- and 24-bit words; today it persists in Unix permissions (three bits per rwx triad).
Quick conversion table
| Binary (input) | Octal (output) |
|---|---|
| 0 | 0 |
| 0b1 | 01 |
| 0b10 | 02 |
| 0b11 | 03 |
| 0b100 | 04 |
| 0b101 | 05 |
| 0b110 | 06 |
| 0b111 | 07 |
| 0b1000 | 010 |
| 0b1001 | 011 |
| 0b1010 | 012 |
| 0b1111 | 017 |
| 0b10000 | 020 |
| Binary (input) | Octal (output) |
|---|---|
| 0b1011 | 013 |
| 0b100000 | 040 |
| 0b1000000 | 0100 |
| 0b10000000 | 0200 |
| 0b100000000 | 0400 |
| 0b1000000000 | 01000 |
| 0b10000000000 | 02000 |
| 0b100000000000 | 04000 |
| 0b1000000000000 | 010000 |
| 0b10000000000000 | 020000 |
| 0b100000000000000 | 040000 |
| 0b1000000000000000 | 0100000 |
| 0b1111111111111111 | 0177777 |
More Binary converters
Dedicated pages from Binary to every other format (binary, octal, decimal, hexadecimal, character), with the same parsing rules as the main Number System Converter.