Octal to Binary Converter

Convert any Octal number to Binary Number Calculator

User Guide

  1. Input Section
    • Enter the octal number in the text area labeled "Octal Numbers".
    • Use the "Clear" button beneath the input field to erase your entry if needed.
  2. Output Section
    • The binary equivalent will appear in the output area.
    • 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, while the binary system (base-2) uses only 0 and 1. Converting octal to binary is straightforward because each octal digit corresponds to exactly three binary digits. This direct mapping makes conversion quick and error-free.

Conversion Method

Steps to Convert

  1. Write down the octal number.
  2. Convert each octal digit into its 3-bit binary equivalent using a reference table.
  3. Combine all the binary groups to get the final binary number.

Octal to Binary Table:

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

Example

Convert 7318​ (octal) to binary:

Convert each digit:
7 = 111
3 = 011
1 = 001

Combine the binary groups: 111 011 001

Result: 7318 = 1110110012

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.