(d) Consider a synchronous circuit with a critical path consisting of 10 logic gates, and for which the minimum logic gate delay guaranteeing a stable output is 5 milliseconds. What is the maximum clock frequency for this circuit? Justify your answer by explaining the purpose of the clock in a synchronous circuit. Provide an explanation of how you determined a suitable clock frequency for the circuit.

1. Describe the difference between a combinational and sequential circuit. What is the critical combinational path? 2. Circle the critical combinational path through this circuit, and calculate the propagation delay, tpd, with units (show your work): X1 * * के जे D Đ GATE 2-input AND 2-input OR tpd (ns) 25 30 D Q 3. Assuming the combinational logic above is the next-state logic of a FSM, and using flip-flops for state memory with the following timing characteristics (from the 74LS74): t=25 ns t₂ =20 ns t₁ = 5 ns a. What is the minimum clock period, I min? Maximum clock frequency, f max? Show your work and label your values with units. b. Assuming a 5 MHz clock, what is the setup time margin? If you are unsure of your answer above, you may use 185 ns as your I min

3. A sequential circuit with two D flip-flops, A and B, two inputs X and Y, and one output Z is specified by the following input and output equations: DA = AX + BY DB = B'(X+Y) Z = A + B a. b. C. Draw the logic diagram of the circuit. Derive the state table for the circuit. Derive the state diagram for the circuit.

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