$13\mathrm{.}2$ Construct a transition graph for the shift register shown. $(x$ is the input, and $Z$ is the output.$)$ Is this a Mealy or Moore machine?

$13\mathrm{.}3($a$)$ For the following sequential circuit, find the next$-$state equation or map for each flip$-$flop. $($Is this a Mealy or Moore machine?$)$ Using these next$-$state equations or maps, construct a transition table and graph for the circuit.

$($b$)$ What is the output sequence when the input sequence is $x=01100?$

$($c$)$ Draw a timing diagram for the input sequence in $($b$).$ Show the clock, $x,A,B,$ and $Z.$ Assume that the input changes between falling and rising clock edges.