Design a synchronous sequential circuit that has a single input X and an output Y. Y goes to 1 if x(t) = x(t - 2). At all other times Y is to be 0. Use Moore model and JK flip-flop to implement the circuit. (a) Make the state definition (b) Construct the state transition table (c) Perform state reduction (d) Make the state assignment using priority scheme (e) Construct excitation table using SR flip-flops (f) Perform logic minimization