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An electronic latch is a simple bi-stable state-holding circuit. That means it has two stable "states", kind of like a light switch (ON and OFF). Once the latch is switched ON, it will stay there until it is switched OFF or until power is lost, and vice-versa.
Latches can be built in a variety of ways, but the most commonly studied latch is the S-R latch made with NAND or NOR gates. In this latch, "SET" is the name of one state, and "RESET" is the other state:
http://www.play-hookey.com/digital/rs_nand_latch.html
Latches can be used to build memory circuits in digital systems. There are millions of latch circuits in a computer system.
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