A sequential circuit with two D flips- flops A and B, one input x, and one output z is specified by the following next state and output equations: A (t+1) = A+B, B(t+1 )= Bx, z=A+B. (i) Draw the logic diagram of the circuit. (ii) Derive the state table (iii) Draw the state diagram of the circuit and simulate its behavior using a simulation tool.