Q$6)$ A sequential circuit has a single input $x$ and a single output $y.$ When the sequence $"1011"$ occurs at the input, the output becomes $1.$ Initially the output is $0.$

$($a$)$ Draw the corresponding state diagram for a Mealy machine.

$($b$)$ List the state table and design the circuit using $D$ flip$-$flops.

$($c$)$ Draw the logic diagram of the circuit.