1. (50 POINTS) A divide-by-N counter is a special type of a counter with one output and no inputs. The output Y is high for one clock cycle out of every N, i.e. the output divides the clock frequency by N. As an example, the waveform for a divide-by-3 counter and the corresponding FSM for this counter are shown below: CLK eset S1 Y: 0 S2 Y: 0 So Now, consider a divide-by-4 counter to answer the following 1.A.) (5 POINTS) Draw the waveform. 1.B.) (5 POINTS) Draw the FSM. 1.C.) (20 POINTS) Using binary encoding, show the state table, simplify next state logic and output logic using K-map, and sketch the circuit for next state logic and output logic. 1.D.) (20 POINTS) Using one-hot encoding, show the state table, simplify next state logic and output logic using K-map, and sketch the circuit for next state logic and output logic