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Problem K1: For the state table shown below, show a state diagram and complete the timing trace as far as possible (even after the input is no longer known.) \begin{tabular}{|c|cc|cc|} \hline & \multicolumn{2}{|c|}{$q^{1+q}$ q2+ } & \multicolumn{2}{c|}{$\mathrm{z}$} \\ $\mathrm{q} 1 \mathrm{q} 2$ & $\mathrm{x}=0$ & $\mathrm{x}=1$ & $\mathrm{x}=0$ & $\mathrm{x}=1$ \\ \hline 00 & 01 & 00 & 0 & 1 \\ 01 & 10 & 11 & 0 & 0 \\ 10 & 00 & 00 & 1 & 1 \\ 11 & 01 & 01 & 1 & 0 \\ \hline \end{tabular} $\begin{array}{llllllllll}\mathrm{x} & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1\end{array}$ ql 0 q2 0 $\mathrm{z}$ Problem K2: Show the State Definition Table, State Transitions Diagram, Transition Table, Karnaugh Maps, Min SOP form and schematic when the vending machine design discussed in class is completed using a Mealy Machine. Use D flip-flops and the same assumptions used in class. Hint. You need use only three states.

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