Octal to Decimal Converter

The Octal to Decimal Converter is a tool that allows you to convert octal numbers (base-8) to decimal numbers (base-10). Octal numbers use eight digits (0-7), while decimal numbers use ten digits (0-9).

This conversion is used in computer science and programming, particularly in contexts where binary data needs to be represented in a more compact form. Octal was historically important in computing but has largely been replaced by hexadecimal in modern systems.

How the conversion works:

To convert octal to decimal:

1. Multiply each digit by the power of 8 corresponding to its position.
2. Sum all the products to get the decimal value.

Example:

Octal: 157 Position values: 1 × 8² = 1 × 64 = 64 5 × 8¹ = 5 × 8 = 40 7 × 8⁰ = 7 × 1 = 7 Sum: 64 + 40 + 7 = 111

This converter also supports the reverse operation, allowing you to convert decimal numbers back to octal.

To convert decimal to octal:

1. Divide the decimal number by 8.
2. Get the integer quotient for the next iteration.
3. Get the remainder for the octal digit.
4. Repeat the steps until the quotient becomes 0.
5. The octal digits are read from bottom to top.

Example:

Decimal: 111 111 ÷ 8 = 13 remainder 7 13 ÷ 8 = 1 remainder 5 1 ÷ 8 = 0 remainder 1 Reading from bottom to top: 157