Please,don't write the result directly, show it step by step. Indicate which question you solved with the question number.

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Q1. Design a sequential circuit with two T flip-flops A and B, and one input x_in. (a) When x_in = 0, the state of the circuit remains the same. When x_in = 1, the circuit goes through the state transitions from 00 to 01, to 11, to 10, back to 00, and repeats. (b) When x_in = 0, the state of the circuit remains the same. When x_in =1, the circuit goes through the state transitions from 00 to 11, to 01, to 10, back to 00, and repeats.

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Q2) A PN flip-flop has four operations: clear to 0, no change, set to 1 and complement, when inputs P and N are 00, 01, 10, and 11, respectively.

(a) Tabulate the characteristic table. (b) Derive the characteristic equation. (c) Tabulate the excitation table. d) Show how the PN flip-flop can be converted to a T flip-flop.