Exclusive OR Gate

The output is high when either of inputs A or B is high, but not if both A and B are high.

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Logically, the exclusive OR (XOR) operation can be seen as either of the following operations:

A AND NOT B OR B AND NOT A

A OR B AND NOT A AND B

which can be implemented by the gate arrangements shown. They can also be implemented using NAND gates only.

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Exclusive OR with NAND

The implementation of the exclusive OR (XOR) operation with just NAND gates illustrates the function of NANDs as universal gates.

A AND NOT B OR B AND NOT A

A OR B AND NOT A AND B

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This is an example of convenient packaging of XOR gates in integrated circuit form.

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