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The XOR (Exclusive Or) gate has a true output when the two inputs are different. When one input is true, the output is the inversion of the other. When one input is false, the output is the non-inversion of the other.

A B R

0 0 0

0 1 1

1 0 1

1 1 0

Look at the last two lines. You see that R is NOT B, but only when A is true. The same can be said of A; R is NOT A, but only when B is true.

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