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XOR Calculator

Compute the bitwise exclusive OR of two integers.

Result (decimal) 6
Result (binary) 110

Formula: result bit = 1 if the bits differ

Step-by-step with your numbers:
1. Values used:
2. a (decimal) = 12
3. b (decimal) = 10
4.
5. Result (decimal) = 6
6. Result (binary) = 110
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Bitwise XOR sets a 1 wherever the two inputs differ.

The math behind it

Each output bit is 1 only when the two input bits are different (one 0 and one 1).

Worked example

12 (1100) XOR 10 (1010) = 6 (0110).

FAQ

Why is XOR special?

Applying the same XOR twice restores the original value — the basis of simple ciphers and checksums.

Related calculators

AND Calculator Compute the bitwise AND of two integers. OR Calculator Compute the bitwise OR of two integers. NOR Calculator Compute the bitwise NOR of two integers (width-limited).