For the below sequential circuit where the flip$-$flops are D$-$type.

$($a$)$ Find the logical equations for the state variables $\{QA,QB\}$ and for the output variable $\text{'}Y\text{'}?$

$($b$)$ Analyse this circuit and write the "state transition Table" which includes the current states, next states, input variable $\text{'}x\text{'},$ and the output variable $\text{'}Y\text{'}?$