Decimal to Octal Converter

10
8
16

Decimal to octal calculation steps

Divide by the base 8 to get the digits from the remainders:

Division
by 8		 Quotient

Remainder

(Digit) 		Digit #

How to convert Decimal to Octal?

To convert a decimal number (base 10) to an octal number (base 8), the standard method is the "Divide by 8" process, also known as the repeated division method.

The Step-by-Step Method

  • Divide the decimal number by $8$.
  • Record the remainder (this will be an octal digit between $0$ and $7$).
  • Take the quotient from the previous step and divide it by $8$ again.
  • Repeat the process until the quotient becomes $0$.
  • Read the remainders in reverse order (from the last remainder calculated to the first) to get your octal result.