Problem 1 A sequential circuit has two 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:

D = xy + xA

D = xB + xA

z = x + yB

1. Draw the logic diagram of the circuit.

2. Show the state table for the circuit.

3. Show the state diagram for the circuit.

Problem 2

Design a sequential circuit with two JK flip-flops A and B and two inputs x and y.

If x = 1 the circuit remains in the same state regardless of the value of y.

When x = 0 and y = 1, the circuit goes through the state transitions from 00 to 01 to 10 to 11 and back to 00 and repeat.

When x = 0 and y = 0, the circuit goes through the state transitions from 00 to 11 to 10 to 01 back to 00, and repeat.