P$2(20$ points$)$ Given the FMS state diagram shown below, answer the following:

a$)(10$ points$)$ Write the state table and the state$-$assigned table for the FSM$.$

b$)(10$ points$)$ Determine whether the given FSM is a Moore machine or a Mealy machine. Once you have identified the type of FSM$,$ design the equivalent machine of the other type by drawing its corresponding state diagram.

$($Note: don't derive expressions or draw circuits. Also, the state$-$table and the stateassigned table are not required for the equivalent state diagram in part b$.)$