$4.$ Draw a block diagram that shows how a ROM and D flip$-$flops could be connected to realize the table shown. Attach a Word, PDF$,$ or image file of your ROM and D flip$-$flop connections. Specify the truth table for the ROM using a straight binary state assignment. Attach a Word or PDF file of your truth table. Note that a truth table, not a transition table, is to be specified.

Present

State Next State Present Output $($Z$1$Z$2)$

X$1$X$2=00011011$ X$1$X$2=00011011$

S$0$ S$3$ S$2$ S$1$ S$000101101$

S$1$ S$0$ S$1$ S$2$ S$310101111$

S$2$ S$3$ S$0$ S$1$ S$100101101$

S$3$ S$2$ S$2$ S$1$ S$000000101$