Mathematical Tutorial

How to Convert Decimal to Octal.

Learn how to calculate octal numbers from standard decimal values using successive division by 8.

Try it: Decimal to Octal mini-calculator

Octal Result: 113

Successive division by 8.

Converting standard base-10 decimals into base-8 octal digits is done using successive division by 8.

  1. Divide your decimal number by 8. Note the quotient and remainder.
  2. Take the quotient and divide it by 8 again.
  3. Repeat this process until the quotient becomes 0.
  4. The octal value is obtained by reading the remainders from the bottom to the top.

Step-by-step example.

Convert decimal 75 to octal:

• 75 ÷ 8 = 9, Remainder = 3 (LSB)
• 9 ÷ 8 = 1, Remainder = 1
• 1 ÷ 8 = 0, Remainder = 1 (MSB)

Reading remainders bottom-to-top gives: 113. Therefore, 7510 = 1138.

Decimal to Octal Table

Decimal Octal
810
1620
64100
75113

Silo Navigation