Decimal to Octal

Please input decimal values for conversion into octal.

Base 2

How to Convert Decimal to Octal

To convert a decimal number to octal, you can use a simple process of division and remainder. Follow these steps:

Conversion Steps:

  1. Start with your decimal number. For example, let's use the decimal number 42.
  2. Divide the decimal number by 8 (the base of the octal system) and note down the quotient and remainder.
    • 42 divided by 8 equals 5 with a remainder of 2 (42 ÷ 8 = 5 remainder 2).
  3. Continue dividing the quotient by 8 and noting the remainders until the quotient becomes zero.
    • 5 divided by 8 equals 0 with a remainder of 5 (5 ÷ 8 = 0 remainder 5).
  4. Write down the remainders from bottom to top. In this example, the remainders are 5 and 2, so the octal representation is 52.

That's it! You've successfully converted a decimal number to octal.