Hex to Binary Converter

Convert any Hex number to Binary Number Calculator

User Guide

  1. Input Section
    • Enter the hexadecimal number in the text area labeled "Hexadecimal 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 hexadecimal system (base-16) uses digits 0–9 and letters A–F to represent values. The binary system (base-2) uses only 0 and 1. Converting hexadecimal to binary is simple because each hexadecimal digit corresponds to a fixed group of four binary digits, making this a direct conversion.

Conversion Method

Steps to Convert

  • Write down the hexadecimal number.
  • Replace each hexadecimal digit with its corresponding 4-bit binary equivalent using a reference table.
  • Combine all the binary groups to get the final binary number.

Hexadecimal to Binary Table:

Hexadecimal Binary
0 0000
1 0001
2 0010
3 0011
4 0100
5 0101
6 0110
7 0111
8 1000
9 1001
A 1010
B 1011
C 1100
D 1101
E 1110
F 1111

Example

Convert 2F16​ (hexadecimal) to binary:

Replace each hex digit with its binary equivalent:
2 = 0010
F = 1111

Combine the binary groups: 0010 1111

Result: 2F16 = 001011112

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.