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(D) Given:$(i)$ Sine wave, $50 \ Hz, 2 \ V$ and square wave, $100 \ Hz, 6 \ V$.$(ii)$ Sine wave, $100 \ Hz, 8 \ V$ and square wave, $100 \ Hz, 6 \ V$.

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No output and pulsed wave at $100 \ Hz$.

Vedclass · Answer

(D) Given:$(i)$ Sine wave, $50 \ Hz, 2 \ V$ and square wave, $100 \ Hz, 6 \ V$.$(ii)$ Sine wave, $100 \ Hz, 8 \ V$ and square wave, $100 \ Hz, 6 \ V$.An $AND$ gate produces a high output (logic $1$) only when both inputs are at logic $1$ (i.e.,voltage $\ge 5 \ V$).In figure $(i)$, the frequencies of the two input waves are different ($50 \ Hz$ and $100 \ Hz$). Because the frequencies do not match, the inputs will not be in phase for a consistent duration to produce a stable output, resulting in no meaningful output at $E$.In figure $(ii)$, both waves have the same frequency of $100 \ Hz$. Since they are in phase and both exceed the $5 \ V$ threshold, the $AND$ gate will process these signals, resulting in a pulsed wave output at $F$ with a frequency of $100 \ Hz$.

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