1. Implement a full-subtractor with two 4 X 1 multiplexers.

2. Design a combinational circuit that multiplies two 2-bit numbers to produce a 4-bit product.

3. Design a combinational circuit that compares two 4-bit numbers A and B for equality. The circuit has two outputs X and Y, such that X = 0, Y=0 if A = B and X = 1, Y=0 if A >B and X=0, Y=1 if A<B.

4. Derive the state equations for the J-K flip-flop example we did in the last lecture

5. Design a synchronous logic circuit using JK flip-flops, that produces the following repeating output sequence.

5,0,3,4,2,7.......

Determine if your circuit is self-correcting or not ?

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