ISI2022 - MCS - PCB - Math | Question: 10

Question

A sequential circuit has two $D$ flip-flops $D_{A}$ and $D_{B}$ with outputs $A$ and $B$, respectively. The circuit has two inputs $x$ and $y$, and one output $z$. The input equations for the flip-flops and the circuit output are as follows:
\[
\begin{aligned}
D_{A} & =\bar{x} y+A \bar{x} \\
D_{B} & =x \bar{y}+B x \\
z & =A x+B \bar{x}
\end{aligned}
\]

1. Draw the logic diagram of the sequential circuit.
2. Draw the corresponding state transition diagram.