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Truth function
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== Computer science == Logical operators are implemented as [[logic gate]]s in [[digital circuit]]s. Practically all digital circuits (the major exception is [[DRAM]]) are built up from [[logical NAND|NAND]], [[logical NOR|NOR]], [[negation|NOT]], and [[logic gate|transmission gates]]. NAND and NOR gates with 3 or more inputs rather than the usual 2 inputs are fairly common, although they are logically equivalent to a cascade of 2-input gates. All other operators are implemented by breaking them down into a logically equivalent combination of 2 or more of the above logic gates. The "logical equivalence" of "NAND alone", "NOR alone", and "NOT and AND" is similar to [[Turing equivalence (theory of computation)|Turing equivalence]]. The fact that all truth functions can be expressed with NOR alone is demonstrated by the [[Apollo guidance computer]].
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