Convert decimal to octal instantly. Enter a valid integer — results update live with exact BigInt precision.
Selected Decimal values converted to Octal using exact positional base math.
| Decimal | Octal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 9 | 11 |
| 10 | 12 |
| 255 | 377 |
Positional base conversion in both directions, plus a worked example.
octal = convert(decimal digits → integer → octal digits)
decimal = convert(octal digits → integer → decimal digits)
Positional bases use place values, not a single multiplier. Each decimal digit is parsed against base 10, converted to an exact integer, then written in octal.
To go the other way, parse octal digits, convert to the same integer, and format in decimal. The live converter handles both directions.
Worked example on this page:
511 decimal = 777 octal
Short background on the units used in this conversion.
Decimal (Base-10) uses positional notation in base 10. Each digit position represents a power of the base — this is notation, not a currency or measurement unit.
Decimal is everyday base-10 counting — the default human number system.
Octal (Base-8) expresses the same integer value using a different radix. The numeric value is identical; only the digit representation changes.
Octal (Base-8) helps when a system or protocol specifies that radix.
Jump to any number base conversion starting from base_10 — including the reverse direction and every other unit in our dataset.