(6 Points) Set-dominant and reset-dominant flip-flops behave like an SR flip-flop, except that the input S=R= 1 is allowed. A set-dominant flip-flop is set when S=R= 1. Whereas, a reset-dominant flip flop is reset when S=R=1. (a) Derive the characteristic equations for a set-dominant and reset-dominant flipflop. (b) Show how a reset-dominant flip-flop can be constructed by adding gate(s) to an SR flip-flop