A sequential circuit has a single input x and a single output y. When the sequence "001" occurs at the input. the output becomes 1 and remains 1 until the sequence "001" occurs again in which case the output returns to 0. The output remains 0 until "001" occurs a third time, etc. (a) Draw the correponding 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.