Hexadecimal to Binary Converter

Convert hexadecimal numbers to their binary representation. This tool helps in understanding the relationship between different number systems used in computer science.

Input Parameters

Enter a valid hexadecimal number without prefix (0x). Letters can be in uppercase or lowercase.

Calculation Results

Binary Result

Binary result will appear here

Where:
- Hexadecimal is a base-16 number system using digits 0-9 and letters A-F
- Binary is a base-2 number system using digits 0 and 1
- Each hexadecimal digit corresponds to 4 binary digits (bits)

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 valid hexadecimal number in the input field. Hexadecimal numbers use digits 0-9 and letters A-F (or a-f). For example: 1A3F, 5F3, or B2C.
  2. Click the "Calculate" button to convert the hexadecimal number to binary.
  3. The binary representation will be displayed in the results area.
  4. If you want to start over, click the "Reset" button to clear all inputs.

Understanding the Conversion Process

Hexadecimal and binary are both positional numeral systems used in computing. Each hexadecimal digit represents exactly 4 binary digits (bits), making the conversion straightforward:

  • Hexadecimal digit 0 = Binary 0000
  • Hexadecimal digit 1 = Binary 0001
  • Hexadecimal digit A (or a) = Binary 1010
  • Hexadecimal digit F (or f) = Binary 1111

For example, to convert hexadecimal 1A3F to binary:

  1. 1 = 0001
  2. A = 1010
  3. 3 = 0011
  4. F = 1111

    5. Combined: 0001 1010 0011 1111 (or simply 110100011111 without spaces)

Common Applications

Hexadecimal to binary conversion is commonly used in:

  • Computer programming and memory addressing
  • Color codes in web design (e.g., #FF0000 = red)
  • Hex dumps and debugging
  • Cryptographic algorithms
  • Binary file manipulation