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[30 pts total] FSM: Implement the finite state machine (FSM) described by the state transition diagram in Figure 1. The FSM has 5 states (S0-S4), 1 input (W)-as well as the usual clock and Reset inputs, and 2 outputs, $A$ and $B$. (a) [15 pts] Using binary state encodings, write next state equations for the FSM. Clearly show all your steps. Put a box around your final equations. (b) $[15pts]$ Sketch a schematic of the FSM. Figure 1. State transition diagram for Exercise 3

a) From given state diagram and given information, let the binary encodings of given FSM