Octal to Decimal Converter
Convert a octal (base 8) number to decimal (base 10) instantly. As an example, 377 = 255. It runs entirely in your browser.
| Base | This number |
|---|---|
| Binary (base 2) | — |
| Octal (base 8) | — |
| Decimal (base 10) | — |
| Hexadecimal (base 16) | — |
How to convert octal to decimal
Each digit of a octal number carries a weight that is a power of 8. Multiply every digit by 8 raised to its position (counting from 0 on the right) and add the results to get the decimal value:
3 × 8^2 + 7 × 8^1 + 7 × 8^0 = 255
Worked example: 377 in decimal
Reading 377 as base 8: 3 × 82 (= 192) + 7 × 81 (= 56) + 7 × 80 (= 7) = 255 in decimal, which is 255 in decimal.
More octal-to-decimal examples: 12 = 10, 20 = 16, 100 = 64.
Binary, octal, decimal & hexadecimal reference table
| Decimal | Binary | Octal | Hex |
|---|---|---|---|
| 1 | 1 | 1 | 1 |
| 2 | 10 | 2 | 2 |
| 4 | 100 | 4 | 4 |
| 8 | 1000 | 10 | 8 |
| 10 | 1010 | 12 | A |
| 15 | 1111 | 17 | F |
| 16 | 10000 | 20 | 10 |
| 32 | 100000 | 40 | 20 |
| 64 | 1000000 | 100 | 40 |
| 100 | 1100100 | 144 | 64 |
| 128 | 10000000 | 200 | 80 |
| 255 | 11111111 | 377 | FF |
| 256 | 100000000 | 400 | 100 |
| 1024 | 10000000000 | 2000 | 400 |
About octal and decimal
Octal: Octal is base-8, using digits 0–7. Each octal digit maps to exactly three bits, which is why it appears in Unix file-permission modes such as 755.
Decimal: Decimal is base-10, the everyday number system using digits 0–9.
Frequently asked questions
- What is 377 octal in decimal?
- 377 in octal (base 8) equals 255 in decimal (base 10), which is 255 in decimal.
- How do I convert octal to decimal by hand?
- Multiply each octal digit by 8 raised to its position (starting at 0 on the right) and add the results. For 377: 3×8^2 + 7×8^1 + 7×8^0 = 255.
- Is this exact for very large numbers?
- Yes. The converter uses big-integer (BigInt) arithmetic in your browser, so even very long octal values convert to decimal with no rounding or precision loss.
- Which characters are valid in octal?
- Base-8 octal uses the digits 0–7. Spaces, underscores and an optional 0x/0b/0o prefix are ignored; any other character is flagged as invalid.