This is a long question so please answer every point $($and please provide the HANDWRITTEN solution and not typed so it is easier to understand$)$

Analyse the Moore asynchronous sequential machine shown below by generating state table and flow diagram.

Clearly indicate present state and next state. Derive the equations for next state, present state and output.

Let the machine be initially in state$=00$ and X$1,$ X$2=00.$ If X$1,$ X$2$ are changed to $11,$ will there be a critical race? Justify