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5. You are required to design the logic needed to drive a stepper motor through the counting sequence in wave drive mode. The circuit should have an input D which changes the rotation direction of the stepper motor. The sequence, when D = 1, with W4 as the MSB and W1 as the LSB is 1000 -> 0001 -> 0100 -> 0010. You do NOT need to make provision to stop the motor. Feel free to use any sequential or combinatorial logic elements. Clearly show your design process: a. The state transition diagram for the 2-bit synchronous Gray code counter. (1) b. The transition table diagrams from current to the next flip-flop state. Show the flip-flop inputs required to transition flip-flop states. (2) c. The logic simplification process for the synchronous counter. (4) d. The output logic that converts the output of the 2-bit Gray code counter to the four motor windings W1-4. (1) e. Sketch the logic diagram that will represent your design. (2)