Requirements: 1.Please, don't write the result directly, show it step by step. Indicate which question you solved with the question number. 2.Make your transactions clear and understandable. 3.Make sure that your process are correct.

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Q1. A binary ripple counter uses flipflops that trigger on the negative-edge of the clock. What connections will you use to design. Part a) A count-up binary ripple counter

Part b) A count-down binary ripple counter?

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Q2. A sequential circuit has two JK flip-flops A and B and one input x. The circuit is described by the following flip-flop input equations: JA = x KA = B JB = x KB = A

(a) Derive the state equations A(t + 1) and B(t + 1) by substituting the input equations for the J and K variables. (b) Draw the state diagram of the circuit.

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Q3. Design a serial 1s complement circuit with an 4-bit shift register and a D flip-flop. The binary number is shifted out from right and its 1s complement is shifted into from left side of the shift register.