Consider the following state table: T= a x=d C,0 F, 1 A, 0 PS A B D E F G H Input r=b C=C E,O G,1 GO E, GO F, 1 G,0 F,1 G,0 E, 0 B, 1 A, O E, O G,0 E,O F, 1 NS, 2 G, 1 0,0 E,1 E, 1 C,0 C,1 C,0 G,1 C,0 F, 1 B, 1 F,1 A, O (a) Answer True or False for the questions: State A and B are 2-equivalent. State C and D are 1-equivalent. State G and Hare 1-distinguishable. State E and F are 1-equivalent. b)Simplify this table by reducing the state set as much as possible c)Draw the state diagram for the simplified state table. Consider the following state table: T= a x=d C,0 F, 1 A, 0 PS A B D E F G H Input r=b C=C E,O G,1 GO E, GO F, 1 G,0 F,1 G,0 E, 0 B, 1 A, O E, O G,0 E,O F, 1 NS, 2 G, 1 0,0 E,1 E, 1 C,0 C,1 C,0 G,1 C,0 F, 1 B, 1 F,1 A, O (a) Answer True or False for the questions: State A and B are 2-equivalent. State C and D are 1-equivalent. State G and Hare 1-distinguishable. State E and F are 1-equivalent. b)Simplify this table by reducing the state set as much as possible c)Draw the state diagram for the simplified state table