Octal to Decimal Converter

User Guide

1. Input Section
   1. Enter the octal number in the text area labeled "Octal Numbers".
   2. Use the "Clear" button beneath the input field to erase your entry if needed.
2. Output Section
   1. The decimal equivalent will appear in the output area.
   2. Use the "Copy" button below the output area to copy the result to your clipboard.

The octal system (base-8) uses digits 0 through 7 and is often used in computing as a more concise alternative to binary. The decimal system (base-10) is the standard system for everyday numerical representation. Converting octal to decimal involves positional value calculations based on powers of 8.

Conversion Method

Steps to Convert

1. Write down the octal number and assign positional values to each digit, starting from 0 on the right (least significant digit).
2. Multiply each digit by 8^position (the positional value).
3. Add all the results together to obtain the decimal equivalent.

Example

Convert 531₈ (octal) to decimal:

Assign positions and compute values:

5 × 8² = 5 × 64 =320
3 × 8¹ = 3 × 8 = 24
1 × 8⁰ = 1 × 1 = 1

Add the values: 320+24+1 = 345

Result: 531₈ = 345₁₀