Decimal to Octal Converter
Convert any decimal number to octal (base 8), binary and hexadecimal — with the step-by-step division method shown.
What Does This Tool Do?
Convert any decimal number to octal (base 8) with the repeated division-by-8 method shown step by step. Also shows binary and hexadecimal equivalents.
Key Features
Base 8 Output
Octal with 0o prefix.
Division Steps
Div-by-8 method clearly shown.
3 Bases
Octal, binary and hex together.
Copy
One-click copy of octal result.
How to Use
- Enter any non-negative decimal integer.
- Octal, binary and hex appear instantly.
- Read the division steps to understand the process.
Frequently Asked Questions
How do you convert decimal to octal?▾
Divide by 8 repeatedly, recording the remainder (0–7) each time. Read remainders from bottom to top. E.g. 255 ÷ 8 = 31 r7, 31 ÷ 8 = 3 r7, 3 ÷ 8 = 0 r3 → 0o377.
Why is octal used in computing?▾
Octal groups binary digits in sets of 3 (since 2³ = 8), making it a compact representation of binary. It was widely used in early computing and Unix file permissions still use octal (e.g. chmod 755).
What does 0o mean?▾
0o is the Python/modern prefix for octal literals, just as 0x means hexadecimal. Some older systems use a leading zero (e.g. 0377).