The circuit can be designed using inverters and buffers.

The output bits can be expressed as:

JA = X' KA = X

Solution: Let's denote the input as X and the output as Z.

Solution: First, apply De Morgan's law to get F(A, B, C) = A(B + C) = A · (B' · C')'.

5.6) Design a sequential circuit with two JK flip-flops to detect a sequence of two consecutive 1's.