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The Boolean expression Y = (AB)’ is logically equivalent to what single gate?

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The Boolean expression Y = (AB)’ is logically equivalent to what single gate?

(a) NAND

(b) NOR

(c) AND

(d) OR

The question was posed to me during an online interview.

My question is taken from K-Map Simplification in portion Arithmetic Circuits of Digital Circuits

1 Answer

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Right choice is (a) NAND

For explanation: If A and B are the input for AND gate the output is obtained as AB and after inversion we get (AB)’, which is the expression of NAND gate. NAND gate produces high output when any of the input is 0 and produces low output when all inputs are 1.

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