3. (a) The following state table is to be realized using D flip-flops. Make a suitable state assignment which will lead to an economical circuit. Assign 000 to S, and 010 to S, Show how you arrived at your state assignment. (b) For the assignment obtained in (a) derive the input equations for the flip-flops and the output equation 0 1 0 1 S SS 00 SS S 10 SS S01 S. SO 1 SS, S11 SS S 1 2 2