【1) A sequential circuit with two D flip-flops A and B, two inputs, x and y; and one output z is specified by the following next-state and output equations: Alt + 1) = XX' + XB B(t+1) z = A A + XB' (a) Draw the logic diagram of the circuit. (b) List the state table for the sequential circuit. (c) Draw the corresponding state diagram. (2) A sequential circuit has two JK flip-flops A and B, two inputs x and y, and one output z. The flip-flop input equations and circuit output equation are Ja = Bx + B'x' Ja = A'x z= Axx + Bxx' K₁ = BLXX' K₂ = A + XX' (a) Draw the logic diagram of the circuit. (b) Tabulate the state table. (c) Derive the state equations for A and B. (3) A sequential circuit has three flip-flops A, B, C; one input x in; and one output out. The state diagram is shown below. Design the circuit using a JK flip-flop.