Question $(50$ Marks$)$:

Given the following transition equation and output equation for an Asynchronous Sequential Network:

Transition Equations:

$y_1^{+}=\frac{x_1}{b}ar(y_2)\frac{+}{b}ar(x_1)y_1$

$y_2^{+}\frac{?}{b}=ar(x_1)x_2+\frac{y_1}{b}ar(y_2)$

Output Equation:

$z=\frac{y_1}{b}ar(y_2)$

Please provide the answers to the following questions.

Derive the Transition Table, Flow Table, and Output Table. $(10+10+10$ Marks$)$

Show all state transitions for the given network. $(15$ Marks$)$

Identify the stable states of the network. $(5$ Marks$)$