A sequential circuit has two D flip-flops A and B, two inputs X and Y, and one output z. The flip-flop input equations and the circuit output are as follows: DA = X Y' + Y A DB = X B + Y' B Z = A + B a) [3 marks] Draw the logic diagram of the circuit. b) [3 marks] Complete the following state table. Present state A B Inputs X Y Next state A B Output Z 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1