Another interesting bit of logic, which can also be made from NAND gates, is the XOR or eXclusive OR gate. It turns on only when it's two inputs are different. This provides the basic ability for a computer to tell when things are not equal. If you add an inverter to the output, you get an XNOR gate, which turns on only when it's two inputs are the same; giving the computer the ability to know when two different values match.
RS Flip Flop How computers learn and remember
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