Hamming Distance Calculator

Hamming Distance Calculator calculator can be used to determine the number of positions at which two strings of equal length differ. This is useful in various fields including computer science, genetics, and error detection/correction.

Input Parameters

Calculation Results

Calculation Formula

Hamming Distance = Number of positions where the corresponding bits are different

Where:
Hamming Distance: The number of positions at which two strings of equal length differ

Result

Hamming Distance Calculator Calculator Usage Guide

Learn how to use the Hamming Distance Calculator and its working principles

What is Hamming Distance?

Hamming Distance is a metric for comparing two strings of equal length by counting the number of positions at which the corresponding symbols are different. It is named after Richard Hamming, who introduced the concept in the 1950s.

How to Use This Calculator

  1. Enter your first binary string (composed of only 0s and 1s) in the "String 1" field.
  2. Enter your second binary string in the "String 2" field. Both strings must be of equal length.
  3. Click the "Calculate" button to compute the Hamming Distance.
  4. The result will be displayed showing the number of positions where the two strings differ.

Example

If you enter "1101" as String 1 and "1001" as String 2, the Hamming Distance is 2 because the first and third bits differ.

Applications of Hamming Distance

  • Error Detection and Correction: Hamming Distance is fundamental in error-correcting codes that can detect and correct errors in data transmission.
  • Genetics: Used to measure genetic differences between populations or species.
  • Computer Science: Used in algorithms for data compression, cryptography, and information theory.