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Q#1 Sequential Circuits GATE EE 2013 MCQ +2 marks -0.66 marks

The clock frequency applied to the digital circuit shown in the figure below is 1 kHz. If the initial state of the output Q of the flip-flop is 0, then the frequency of the output waveform Q in kHz is

0.25

0.5

1

2

Explanation:

As we can see that

We know that

So, X=1

Now, the given sequential circuit can be reduced as

Untitled-31.png

This is a toggle mode i.e.

So frequency of the output waveform Q is

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