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Hamming distance is a metric used to measure how many positions at which the corresponding elements (usually bits or characters) of two strings are different.

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🔢 Definition

For two strings of equal length, the Hamming distance is the number of positions where the characters (or bits) differ.

✅ Example

Let’s compare two binary strings:

• A = 1011101

• B = 1001001

Compare position by position:

A: 1 0 1 1 1 0 1  
B: 1 0 0 1 0 0 1  
   ↑   ↑   ↑     → 3 positions differ

Hamming distance = 3