Math

XOR Calculator

Compute the bitwise exclusive OR of two integers.

Calculated Output

Result (decimal) 6

Result (binary) 110

Formula: result bit = 1 if the bits differ

Step-by-Step Breakdown

1. Values used:

2. a (decimal) = 12

3. b (decimal) = 10

5. Result (decimal) = 6

6. Result (binary) = 110

Did this calculator solve your problem today?

The math behind it

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

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

Why is XOR special?

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