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I have 3 input variables and the output for all 8 possible combinations is 0 (false). When making a circuit, how would I show this using gates or no gates at all? Thanks!

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  • $\begingroup$ You mean, how do you draw a signal that is always false? I'd just write 0 or F and draw a line to it, probably. $\endgroup$ – user253751 Oct 23 '19 at 11:47
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Hint: $A \land \lnot A$ is always False, no matter whether $A$ is True or False.

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First you can write down the truth table of your circuit, in this case it will be entirely composed of $0$s. Then you will build up a Boolean expression in the form you prefer (if you have no limitations) which reproduces the behavior (relation input/output) observed in the truth table.

Note that every operator of your boolean expression correspond to a logic gate:

$\land$ = AND

$\lor$ = OR

$\neg$ = NOT

$\oplus$ = XOR

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