$8\mathrm{.}2$ Given the circuit diagram below with one input $x$ and one output $y.$

a$.$ Complete the following Output and State equations.

$T_{Q1}=q,$

$J_{Q0}=q,$

$K_{Q0}=q,$

$Y=q,$

Q$11_{(t+1)}$

$Q{0}_{(t+1)}$

b$.$ complete the following state table.

$\backslash$table$[[$Present State,Input,$\frac{\text{N}\text{e}\text{x}\text{t}\text{S}\text{t}\text{a}\text{t}\text{e}}{Q1},$Output,Flip Flop Inputs$],[Q0,Q1,x,Q0,Q1,Y,$TQ$1,$JQ$0,$KQ$0],[,,,,,,,,],[,,,,,,,,],[,,,,,,,,],[,,,,,,,,],[,,,,,,,,],[,,,,,,,,],[,,,,,,,,],[,,,,,,,,]]$

C$.$ Draw the State Diagram