Calculation $(60\%)$

$F(W,x,Y,Z)=W^{\text{'}}{x}^{\text{'}}{Y}^{\text{'}}+W^{\text{'}}xZ+WxZ+W{x}^{\text{'}}{Y}^{\text{'}}{Z}^{\text{'}}$

Note: the prime symbol $\text{'}$ means NOT

$(20\%)$ Draw a truth table for the Boolean function above

$(20\%)$ Use a Karnaugh Map to reduce the function $($leave in sum of product form$)$

$(20\%)$ Build an AND$-$OR circuit based on this function. Please simplify your circuit as much

as possible.

FSM and sequential circuits $(40\%)$:

$(20\%)$ Draw a truth table for the JK flip$-$flop

$(20\%)$ Given two states A and B$,$ draw the finite state machine of the JK flip$-$flop. Please use

Moor machine.