TontonTools

Decimal to Octal

Convert decimal numbers to octal — base 10 into base 8, any size.

100% Free No signup Privacy-friendly Binary & Number Tools
Updated Sep 2026

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How to use Decimal to Octal

  1. Enter a decimal number — e.g. 493. Several space-separated numbers convert together.
  2. Read the octal instantly: 493 → 755.
  3. Check the error line if a token isn't a plain number — it is named exactly.
  4. Click “Copy result” — add a 0o prefix if your programming language needs one.

What is Decimal to Octal?

A decimal to octal converter rewrites a base-10 number in base 8, where only digits 0–7 exist and places are worth 1, 8, 64, 512… Decimal 493 becomes octal 755, and decimal 64 becomes a round 100.

The manual method is repeated division by 8, reading remainders in reverse: 493 ÷ 8 = 61 r 5, 61 ÷ 8 = 7 r 5, 7 ÷ 8 = 0 r 7 → 755. This tool does that instantly and exactly, for numbers far beyond calculator range.

About the Decimal to Octal

Type a decimal number and its octal form appears instantly; space-separated numbers convert independently.

Where you'd want it: converting a file mode stored as a plain integer back into familiar chmod notation (420 → 644, 511 → 777), producing octal escape sequences (65 → 101, so the letter A is \101), converting values for retrocomputing or PDP-era formats, and checking number-systems homework. BigInt arithmetic keeps arbitrarily large numbers exact.

Everything runs in your browser with invalid input flagged by token. Octal to Decimal is the reverse tool; Decimal to Binary and Decimal to Hex cover the other common target bases.

Frequently Asked Questions

Divide by 8, keep remainders, read them backwards: 200 → 200÷8=25 r0, 25÷8=3 r1, 3÷8=0 r3 → 310.
777 — the everything-for-everyone permission mask. Similarly 493 = 755 and 420 = 644. APIs that store file modes as integers produce exactly these decimals.
Powers of 8: 8 → 10, 64 → 100, 512 → 1000, 4096 → 10000. Just as powers of 10 are round in decimal, powers of the base are round in that base.
Modern languages use 0o: 0o755 in Python and JavaScript. C and shells accept a bare leading zero (0755) — legal but bug-prone, since 0755 and 755 are different numbers.
It converts non-negative integers, which is what base notation covers. Negative values and fractions are storage formats (sign bits, floating point) rather than digit-base conversions.

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