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(a) Implement the following Boolean function F, together with the don't-care conditions d, using no more than two NOR gates: F(A, B, C, D) = E(2, 4, 10, 12, 14) d(A, B , C, D) Σ(0 , 1 , 5, 8) Assume that both the normal and complement inputs are available. (b) List the eight degenerate two-level forms and show that they reduce to a single operation. Explain how the degenerate two-level forms can be used to extend the number of inputs to a gate.

(a) Implement the following Boolean function F, together with the don't-care conditions d, using no more than two NOR gates: F(A, B, C, D) = E(2, 4, 10, 12, 14) d(A, B , C, D) Σ(0 , 1 , 5, 8) Assume that both the normal and complement inputs are available. (b) List the eight degenerate two-level forms and show that they reduce to a single operation. Explain how the degenerate two-level forms can be used to extend the number of inputs to a gate.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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(a) Implement the following Boolean function F, together with the don't-care conditions d, using no more than two NOR gates: Q3 FIA, B, C , D) Σ2,4 , 10, 12, 14) d(A, B, C, D) - Σ(0, 1 , 5, 8) Assume that both the normal and complement inputs are available. (b) List the eight degenerate two-level forms and show that they reduce to a single operation. Explain how the degenerate two-level forms can be used to extend the number of inputs to a gate. Q4 Design a sequential circuit with two D 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.
Transcribed Image Text:(a) Implement the following Boolean function F, together with the don't-care conditions d, using no more than two NOR gates: Q3 FIA, B, C , D) Σ2,4 , 10, 12, 14) d(A, B, C, D) - Σ(0, 1 , 5, 8) Assume that both the normal and complement inputs are available. (b) List the eight degenerate two-level forms and show that they reduce to a single operation. Explain how the degenerate two-level forms can be used to extend the number of inputs to a gate. Q4 Design a sequential circuit with two D 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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