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Semiconductor Electronics question for JEE Main (JEE Main 2020 (2 Sep, Shift 2)), with solution

Q 12-14-170JEE MainJEE Main 2020 (2 Sep, Shift 2)Medium

In the following digital circuit, what will be the output $Z$, when the input $(A, B)$ are $(1, 0)$, $(0, 0)$, $(1, 1)$, $(0, 1)$?

Logic circuit: A and B feed a NAND gate and an OR gate; their outputs feed an AND gate; the NAND output and the AND output feed a NOR gate giving Z
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