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Semiconductor Electronics question for JEE Main (JEE Main 2023 (8 Apr, Shift 1)), with solution

Q 12-14-101JEE MainJEE Main 2023 (8 Apr, Shift 1)Medium

For the logic circuit shown, the output waveform at $Y$ is

Inputs: A is 0 until t = 2 and 1 after; B is 1 from t = 1 to 2, 0 from 2 to 3 and 1 after 3. A and B each pass through a NAND gate with joined inputs, then both go into a NAND gate giving Y
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