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A sequential circuit with two D flip-flops, A and B; two input x and y; one output z; it is specified by the following next-state and output equations:

$A(t+1) = x’y + xA$

$B(t+1) = x’B + xA$

$Z = B$

- Draw the logic diagram of the circuit.
- Dervie the state table.
- Drive the state diagram.