Using the given State Diagram, answer the following questions:

$($a$)$ Fill in the State Table below. $x$ & $Y=$ inputs

$\backslash$table$[[\backslash$table$[[$Current$],[$State$],[($ABC$)]],$Next State $(A^{+}{B}^{+}{C}^{+}),$Output $($Z$)],[x=0,x=1,x=0,x=1$