(Solved): The state table for a typical state machine was developed and derived as shown below: Present State ...

The state table for a typical state machine was developed and derived as shown below: Present State Next State Input Cond. Assuming the state table above is to be implemented using $D$ latches, which of the below corresponds to a correct sequential boolean logic function for the input to the most significant $D$ latch equation given that the proper order of variables is given as $Q_1,Q_0$, $X,Y$, and $Z$. Hint: There may be two correct answers! $\begin{array}{l}F\left(Q_1,Q_0,X,Y,Z\right)=\\ {?}_m\\ (10,11,14,15,17,18,19,21,22,23,25,26,27,28,29,30,31)\\ F\left(Q_1,Q_0,X,Y,Z\right)=\\ {?}_m(9,10,14,16,17,19,21,22,23,24,25,26,27,29,30,31)\\ F\left(Q_1,Q_0,X,Y,Z\right)=!Q_1\&!Q_0\&Y\&Z\#Q_1\&!Q_0\&!X\&!Z\#\\ Q_1\&!Q_0\&!Y\#Q_1\&Q_0\&!X\#Q_1\&Q_0\&X\\ F\left(Q_1,Q_0,X,Y,Z\right)=\\ {?}_m(0,7,12,14,16,17,19,21,22,23,24,25,28,29,30,31)\\ F\left(Q_1,Q_0,X,Y,Z\right)=\\ {?}_m(8,12,13,16,17,18,21,22,24,25,26,27,29,30,31)\\ F\left(Q_1,Q_0,X,Y,Z\right)=!Q_1\&!Q_0\&!X\&Z\#!Q_1\&Q_0\&Y\&!Z\#\\ Q_1\&!Q_0\&X\#Q_1\&!Q_0\&Y\#Q_1\&Q_0\&!Z\\ F\left(Q_1,Q_0,X,Y,Z\right)=\\ {?}_m(9,10,12,13,16,17,19,21,22,24,26,27,29,30,31)\\ F\left(Q_1,Q_0,X,Y,Z\right)=!Q_1\&!Q_0\&X\&!Z\#Q_1\&!Q_0\&!Y\&Z\#\\ Q_1\&!Q_0\&!X\#Q_1\&Q_0\&Y\#Q_1\&Q_0\&Z\\ F\left(Q_1,Q_0,X,Y,Z\right)=Q_1\&Q_0\&X\#Q_1\&(Z\#Y)\#Q_0\&Y\\ F\left(Q_1,Q_0,X,Y,Z\right)=\\ {?}_m\\ (0,1,12,14,16,17,18,21,22,23,24,25,26,27,28,29,30,31)\\ HERBIEHASBEENREMOVED!\\ F\left(Q_1,Q_0,X,Y,Z\right)=!Q_1\&!Q_0\&!X\&!Y\#Q_1\&!Q_0\&Y\&!Z\#\\ Q_1\&!Q_0\&X\#Q_1\&Q_0\&Z\#Q_1\&Q_0\&!X\\ F\left(Q_1,Q_0,X,Y,Z\right)=!Q_1\&!Q_0\&X\&!Z\#Q_1\&!Q_0\&!Y\&Z\#\end{array}$ HERBIE HAS BEEN REMOVED!