$5.$ For this problem, use the state transition diagram below with input $\backslash ($ w $\backslash )$ and output $\backslash ($ z $\backslash ).$ Assume the states are variables $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash ).$ Note, there is no need to draw the circuit diagram.

$($a$)$ Generate a state table the captures the behavior of this state machine. Use variables $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ for the states.

$($b$)$ Add columns to your state table for $\backslash ($ J$\_\{$a$\},$ K$\_\{$a$\},$ J$\_\{$b$\}\backslash ),$ and $\backslash ($ K$\_\{$b$\}\backslash ).$

$($c$)$ Use K$-$maps to find minimal sum of product expressions for $\backslash ($ J $\backslash )$ and $\backslash ($ K $\backslash )$ for each flip flop.

Please show all steps for finding solution