Question $7$: $[20$ marks$]($Moderate$)$ Assuming the memory units in the circuit in Figure $1$ are flip$-$flops: a$.[10$ marks$]$ Draw the state $($transition$)$ diagram. $($hints: there would be $4$ nodes based on different combinations of AB: $00,01,10,11.$ From each node there would be two output directed edges based on whether x is $0$ or $1.$ Ignore F$.)$ b$.[5$ marks$]$ Derive the state table. c$.[5$ marks$]$ Is the circuit based on the Mealy or Moore model? Justify your answer

$($Figure $1.$ This circuit is needed for Questions $6$ and $7.$ It has one binary input x$,$ one binary output F $,$ one T and one D memory units. The memory units are either latches or flip$-$flops, depending on the question.$)$

Please look at the image and read it carefully. We will need figure one to answer this question while using figure one since that plays a role. please just give me an answer within $25$ min as i need it urgent. I would prefer $100\%$ right but if some mistakes thats okay. I just need someting to write that looks right.