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Hopefully some one can clear this up for me. The way the circuits are set up has

ID: 1831567 • Letter: H

Question

Hopefully some one can clear this up for me. The way the circuits are set up has the J value of the first JK flip flop dependent on the result of an input (x) and the output of a second JK flip flop sent through an AND gate. but the K input of the second JK flip flop depends on the negated output of the first JK flip flop and x AND together. How do I trace that when both JK flip flops depend on input from the other one? Hopefully some one can clear this up for me. The way the circuits are set up has the J value of the first JK flip flop dependent on the result of an input (x) and the output of a second JK flip flop sent through an AND gate. but the K input of the second JK flip flop depends on the negated output of the first JK flip flop and x AND together. How do I trace that when both JK flip flops depend on input from the other one?

Explanation / Answer

It is simple, you assume the state of one of them Q1 and other Q2 (say the first one is 1 and the other is 2.) Now you draw the state table as you normally would, by writing the next value of Q for each of the possible values of factors that control J and K of the flip-flops. In this case they would be Q2 and X for the J of the first one and Q1 and X for K of the other. For the remaining terminals, (K of the first and J of the second, use what ever conditions may be given or put them directly if they are independent of everything else.) The next value for Q will come out in terms of the current value of Q,(which will come out to be a function of their initial value.) It might appear to be strange at first sight, but it will get clearer when you do this. Hope it helps.