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Semiconductor Electronics question for JEE Main (JEE Main 2023 (30 Jan, Shift 1)), with solution

Q 12-14-082JEE MainJEE Main 2023 (30 Jan, Shift 1)Medium

The output waveform of the given logical circuit for the following inputs $A$ and $B$ as shown below, is

A goes into a NAND gate with both inputs joined, B likewise; the two outputs feed a third NAND gate giving Y. Input A is high from t1 to t3 and from t5 to t6; input B is high from t2 to t4 and after t6
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