Binary to Octal Converter

Convert any Binary number to Octal Number Calculator

User Guide

  1. Input Section
    • Enter the binary number in the text area labeled "Binary Numbers".
    • Use the "Clear" button beneath the input field to erase your entry if needed.
  2. Output Section
    • The converted octal number will be displayed in the output area.
    • Use the "Copy" button below the output area to copy the octal result to your clipboard.

Binary (base-2) consists of only two digits: 0 and 1. Octal (base-8) uses eight digits: 0 to 7. Converting binary to octal is useful for simplifying binary representation in computing and programming while preserving its structure.
Conversion Method: Binary to Octal

Steps to Convert

  1. Group the binary number into groups of three bits starting from the right (add leading zeros if necessary).
  2. Convert each group of three bits into its corresponding octal value using a reference table.

Binary to Octal Table

Binary Octal Equivalent
000 0
001 1
010 2
011 3
100 4
101 5
110 6
111 7

 

Example

Convert 1100101012 (binary) to octal:

  1. Group into threes: 000 110 010 101 (add leading zeros).
  2. Convert each group:
    • 000 = 0
    • 110 = 6
    • 010 = 2
    • 101 = 5
  3. Combine the results: 06258​.

Result: 1100101012 = 06258

Prof. Waino Pagac
Prof. Waino Pagac
Ph.D. MIT

Professor Waino Pagac, an esteemed expert in computer science and mathematics, and the brilliant mind behind this comprehensive guide on number systems. With a wealth of knowledge and years of experience in academia and research.