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Consider the following circuit with initial state The D Flip-flops are positive edged triggered and have set up times 20 nanosecond and hold times 0.
Consider the following timing diagrams of X and C. The clock period of  nanosecond. Which one is the correct plot of Y?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following circuit with initial stateThe D Flip-flops are ...
Given clock is + edge triggered.
See the first positive edge. X is 0, and hence output is 0. Q0 is 1 and Q0' is 0.
Second + edge, X is 1 and Q0' is also one. So, output is 1. (When second positive edge of the clock arrives, Q0' would surely be 1 because the set up time of flip flop is given as 20 ns and the clock period is >= 40 ns)
Third + edge, X is 1 and Q0' is 0, So, output is 0. (Q0' becomes 0 before the 3rd positive edge, but output Y won't change as the flip flop is positive edge triggered)
Now, output never changes back to 1 as Q0' is always 0 and when Q0' finally becomes 1, X is 0.
Set up time and hold times are given just to ensure that edge triggering work properly.
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