GATE EC 2024 Set 1 — Question 41
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Digital Circuits → Combinational Logic → MUX, DEMUX, Decoders & Encoders
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Question
The propagation delay of the MUX shown in the circuit is . Consider the propagation delay of the inverter as .
If is set to then the output is _______.

Correct answer
(B) a square wave of frequency 50 MHz
Solution
Read the figure. The MUX output is fed back directly to data input , and through the inverter to data input :With the MUX passes input , so after one MUX delayThe output therefore inverts itself every ns (the inverter delay is ). One full cycle () takes ns, so is a square wave of frequency(For comparison, with the output would simply hold its value, .)
- (A) MHz would need a period of ns, i.e. a full cycle per MUX delay.
- (C), (D): the output is not constant because of the inverting feedback through input .
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