GATE CS 2023 Set 1 — Question 43
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Digital Logic → Sequential Circuits → Flip-Flops (JK, T, D)
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Question
Consider a sequential digital circuit consisting of flip-flops and flip-flops as shown in the figure. CLKIN is the clock input to the circuit. At the beginning, , and have values 0, 1 and 1, respectively.
Which one of the given values of (, , ) can NEVER be obtained with this digital circuit?
Correct answer
(A) (0, 0, 1)
Solution
The state of the circuit is represented by . From the circuit diagram, the input equations for the flip-flops are:
Comparing with the options, is never obtained.
- (output of the NOT gate)
1.Initial: . Next state: .
2.State . Next state: .
3.State . Next state: .
4.State . Next state: .
5.State . Next state: .
6.State . Next state: .
7.State . Next state: . (Cycle repeats)
The sequence of states is: .Comparing with the options, is never obtained.
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