Discussion
Which combination of gates does not allow the implementation of an arbitrary boolean function?
Answer: A
Correct answer: OR gates and AND gates only
A set of gates is functionally complete only if it can produce complementation. AND and OR alone can never invert a signal, so functions involving a complement cannot be built. Each of the other three sets can invert: NOT is given outright, XOR inverts when one input is held at 1, and NAND is universal by itself.
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