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(Counter Design) Consider the design of a 4-bit BCD counter that counts in the following sequence: 0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001, and then back to 0000, 0001, etc.

(a) Draw the state diagram and next-state table.

(b) Implement the counter using D flip-flops.

(c) Implement the counter making it self-starting.

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