Design a sequential circuit that counts 0 to 7 (3 bit counter). The counting sequence is as follows: (20 points)

0,1,2,3,4,5,6,7,0,1,.

Assume that the counter has one input X. The counter stays in the same state when X = 0 and moves to the next state when X = 1. Use J-K FFs. Address the following: (20 points)

a)State Table and State Diagram

b)Excitation Table

c)K-MAP for J and K input for each FF

d)Diagram of the counter

e)Testing of your design using LogiSim.