Problem 6. Design a two-bit Gray code up-down counter. The counter has one external input. When the external input is set to zero the Gray counter up counts. When the external input is set to one the system counts down. (a) List the state transition table for the counter. (b) Draw the state transition diagram for the counter. (c) Clearly state the flip-flop input equations. (d) Draw the circuit diagram, and mark all the FF inputs and outputs clearly

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