GATE CS 2023 Set 1 — Question 21
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Digital Logic → Combinational Circuits → Latches (SR, D)
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Question
The output of a 2-input multiplexer is connected back to one of its inputs as shown in the figure.Match the functional equivalence of this circuit to one of the following options.
Correct answer
(B) D Latch
Solution
The characteristic equation for a 2-to-1 multiplexer with inputs and select line is:From the given circuit diagram:
1.Input is connected to the output (feedback).
2.Input is connected to an external data signal, let's call it .
3.Select line acts as an enable signal, let's call it .
Substituting these into the equation:This is the characteristic equation of a D Latch. When , the output follows the input (, transparent mode). When , the output maintains its previous state (, hold mode).Continue learning with Success Tracker
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