Sequential Circuits

Q: Design custom ripple counter

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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