XOR Gate

The exclusive-OR gate performs modulo 2 addition of its inputs.

When you cascade q two-input exclusive-or gates, with the output of the first one feeding one of the inputs of the second one, the output of the second one feeding one of the inputs of the third one, etc., the output of the last one in the chain is the modulo-two sum of the q + 1 inputs.  This could be used as a parity detector.

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