A sequential circuit with one input and one output has the following state table: Present | State Next State X = 0 X = 1 | Present Output 5 5 5 5 7 5 (a) For this part of the problem, do not consider the flip-flop input equations (this means that you can ignore the next-state part of the table). Make a state assign- ment which might minimize the output equation, and derive the minimum out- put equation for your assignment. (b) Forget about your solution to (a). Apply Guidelines 1 and 2 to make a state assignment, assigning 000 to Sj. Derive input equations for D flip-flops using this assignment