Q- Design the ripple counter whose output sequence is represented by the following state diagram.

Ans: As we can see that it is a down counter so we’ll be using Q bar of all flip-flops as clock to next flip-flops (negative edged FFs). We draw the table as
Q2 Q1 Q0 OUTPUT
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 1
1 0 0 1
1 0 1 1
1 1 0 1
1 1 1 1
And using K-map we get the combinational circuit as:
And the equation we get is
Z= Q2 + Q1

And the whole circuit is as:
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