GATE EC 2024 Set 1 — Question 51
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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 ns. Consider the propagation delay of the inverter as ns.
Correct answer
(B) a square wave of frequency 50 MHz
Solution
Let be the output of the MUX. The MUX has two inputs, and , and a select line .From the circuit diagram:
1.The select line is connected to the output . So, .
2.Input is connected to the output of an inverter. The input to this inverter is . So, .
3.Input is connected directly to . So, .
The MUX operation is:- If , then .
- If , then .
- Since , the select line .
- The MUX selects input .
- .
- So, the MUX output will transition from to . This transition takes the MUX propagation delay, which is ns (inverter delay is ns).
- After ns, becomes .
- Since , the select line .
- The MUX selects input .
- .
- So, the MUX output will remain . This state is stable.
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