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Decimal to Octal Converter

Convert any decimal number (base 10) to octal (base 8) instantly. Octal is widely used for Unix/Linux file permissions. Enter a decimal value and get the octal equivalent in real time.

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Decimal to Octal
Decimal (Base 10)
Octal (Base 8)
Result appears here...

Frequently asked questions

4 answers
Divide the decimal number by 8 repeatedly, recording the remainders. Then read the remainders from bottom to top. For example, 255 ÷ 8 = 31 R7, 31 ÷ 8 = 3 R7, 3 ÷ 8 = 0 R3. Reading bottom to top: 377. So 255 in decimal = 377 in octal.

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About Decimal to Octal Conversion

Octal (base 8) was widely used in early computer systems and remains relevant today primarily for Unix/Linux file permissions. The chmod command uses octal notation because three permission bits (read, write, execute) map perfectly to one octal digit: 7 = rwx, 6 = rw-, 5 = r-x, 4 = r--, and so on. This converter lets you quickly translate any decimal permission or value into its octal equivalent, saving the repetitive divide-by-8 arithmetic.