We have a new flip flop with three inputs, S, R. and T (in addition to a trailing-edge triggered clock input). No more than one of these inputs may be I at any time. The Sand R inputs behave exactly as they do in an SR flip flop (that is, S puts a 1 into the flip flop and R puts a 0 in the flip flop). The I input behaves as it does in a I flip flop (that is, it causes the flip flop to change state). a. Show a state graph for this flip flop. b. Write an equation for Q in terms of S, R., T. and Q.