About Decimal to Octal conversion
Decimal-to-octal conversion is useful for file permissions and older computing systems. The method resembles decimal-to-binary conversion, except it repeatedly divides by eight.
How to convert Decimal to Octal
Enter a valid decimal number in the calculator above for an instant result. To understand the calculation by hand, follow these steps:
- Divide the decimal value by 8.
- Record the remainder after every division.
- Read the remainders in reverse order.
Decimal to Octal conversion example
Example: 83₁₀ → 123₈. The remainders from 83 ÷ 8, 10 ÷ 8, and 1 ÷ 8 are 3, 2, and 1; reversed, they form 123.
Use the calculator to verify the example, then try a value of your own. It accepts upper- and lowercase letters for hexadecimal input.