How do you convert decimal to octal?

Divide the decimal number by 8 successively. Note down the remainder at each step. Repeat this until the quotient is 0, then read the remainders from bottom to top to form the octal representation.

What is decimal 75 in octal?

Decimal 75 converts to 113 in octal. Dividing 75 by 8 yields 9 with remainder 3. Dividing 9 by 8 yields 1 with remainder 1. Dividing 1 by 8 yields 0 with remainder 1. Read in reverse: 113.

Mathematical Tutorial Updated July 2026

Decimal to Octal Converter — 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.

Divide your decimal number by 8. Note the quotient and remainder.
Take the quotient and divide it by 8 again.
Repeat this process until the quotient becomes 0.
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
8	10
16	20
64	100
75	113

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