Question: 1. Design a sequential circuit with two JK flip flops and and one input x . When x=0, the states of the circuit remain unchanged.

1. Design a sequential circuit with two JK flip flops and and one input x . When x=0, the states of the circuit remain unchanged. When x=1 , the circuit goes through the state transition in the following way. (6)

00 to 10 to 11 to 01 to 00 and repeat.

Show the state diagram, state table and all other necessary steps to design the circuit.

2. (a) Design a 3 bits negative triggered asynchronous down counter using D flipflops. Show the flow diagram. (3)

(b) Suppose you have 2 registers A and B. Design a serial subtractor in a way that B-A ---> A . The result will be saved to A. (3)

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