Hexadecimal to Binary Converter

Hexadecimal to Binary Converter calculator can be used to convert hexadecimal numbers to their binary equivalents, which is useful for computer programming, digital electronics, and various other applications involving number systems.

Input Parameters

Please enter a valid hexadecimal number (e.g., 1A3F, ABC).

Calculation Results

Binary Output

Calculation Formula

Each hexadecimal digit is converted to its 4-bit binary equivalent:

Where:
Hex = {0-9, A-F} hexadecimal digits
Binary = 4-bit binary representation of each hex digit

Hexadecimal to Binary Converter Calculator Usage Guide

Learn how to use the Hexadecimal to Binary Converter calculator and its working principles

How to Use This Calculator

  1. Enter a hexadecimal number in the input field (e.g., 1A3F, ABC).
  2. Click the "Calculate" button to convert the hexadecimal number to binary.
  3. The binary equivalent will be displayed in the result field.
  4. If you enter an invalid hexadecimal character, an error message will appear.
  5. Click "Reset" to clear all fields and start over.

Understanding the Conversion Process

Hexadecimal (base-16) and binary (base-2) are both positional numeral systems used in computing. Each hexadecimal digit represents exactly 4 binary digits (bits).

Here's how each hexadecimal digit converts to binary:

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

Applications

This converter is useful in various computing applications:

  • Computer programming, especially in languages like C/C++/Java that use hexadecimal representation
  • Digital electronics design and debugging
  • Color codes in web design (hex color codes)
  • Memory addresses and data representation