(a) Derive the state graph for the ripple counter below.

Chapter 12, Problem 12.19

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QUESTION:

(a) Derive the state graph for the ripple counter below. Show the transient states that occur between stable states.

(b) Modify the ripple counter so that it cycles through the same states but in reverse order. (Use the same type of flip-flop.) (Hint: First construct a state graph for the modified counter showing the transient states between stable states.)

     

Questions & Answers

QUESTION:

(a) Derive the state graph for the ripple counter below. Show the transient states that occur between stable states.

(b) Modify the ripple counter so that it cycles through the same states but in reverse order. (Use the same type of flip-flop.) (Hint: First construct a state graph for the modified counter showing the transient states between stable states.)

     

ANSWER:

Step 1 of 4

Consider the J-K flip-flop, it is basically S-R flip-flop with the expectation that J and K can be 1 at a same time.

If , then there is no state change.

If , then the after active edge the output is set to .

If  , then the after active edge the output is set to .

If , then  changes state after active edge.

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