Octal to Decimal Converter

What is Octal?

Octal is a base-8 numeral system, using digits from 0 to 7. It is sometimes used in computing as a more compact form of binary data.

What is Decimal?

Decimal is the standard system for denoting integer and non-integer numbers. It uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

How to Convert Octal to Decimal?

To convert an octal number to decimal, follow these steps:

Start from the rightmost digit of the octal number, assign a power of 8 to each position starting with 8⁰. Multiply each digit by the corresponding power of 8 and sum them.

The formula is:

Decimal = (dₙ × 8ⁿ) + (dₙ₋₁ × 8ⁿ⁻¹) + ... + (d₀ × 8⁰)

Example

Convert 13 (octal) to decimal:

13 = (1 × 8¹) + (3 × 8⁰) = 8 + 3 = 11 decimal