[10 points] Construct a minimum state automaton from the following transitional table. \begin{tabular}{|c|c|c|} \hline Present state & \multicolumn{2}{|c|}{ Next state } \\ \hline & 0 & 1 \\ \hlineA & F & B \\ \hline B & C & G \\ \hlineC & C & A \\ \hline D & G & C \\ \hline E & F & H \\ \hline F & G & C \\ \hline G & E & G \\ \hline H & C & G \\ \hline \end{tabular}