Given the following transition equation and output equation for an Asynchronous Sequential Net$-$

work:

Transition Equations:

y

$+$

$1=$ x$1$y$2+$ x$1$y$1$

y

$+$

$2=$ x$1$ x$2+$ y$1$y$2$

Output Equation:

z $=$ y$1$y$2$

Please provide the answers to the following questions.

$1.$ Derive the Transition Table, Flow Table, and Output Table. $(10+10+10$ Marks$)$

$2.$ Show all state transitions for the given network. $(15$ Marks$)$

$3.$ Identify the stable states of the network. $(5$ Marks$)$