$(20$ pts$)6.$ A synchronous sequential circuit with T flip flops is shown below. X is an external input, and Z is the output of the circuit. An asynchronous Reset input is available to reset the flip flops.

$(12$ pts$)($a$)$ Form a state table for the circuit. Show all your steps clearly.

$(6$ pts$)($b$)$ Draw a state diagram for the circuit.

$(2$ pts$)($c$)$ Classify the circuit as Moore or Mealy.

$\backslash (\backslash$left$($B$^\{\backslash$prime$\}$ X$\backslash$right$)^\{\backslash$prime$\}\backslash )$