question help

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cs200939

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hi its practice question.the question is "what state this circuit will never go into?".the variable x is just a switch that when 0 makes the sequential circuit follow the upper state digram and when 1 the lower state digram.D flip flops are used
 

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Since all states are shown for 3 bits, then I don't understand the question. Unless the question is what state(s) will the circuit never go into after it has operated through at least two states from a random start-up.
 
thats the problem.it looks like i just have to design the sequential circuit in accordance with this state diagram but the question "which states the circuit will never go into?" is not understandable...ok suppose if its what you are are saying then whats the answer for that?
 
In each case it would be all the states except the two with the loop.
 
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