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Consider two Boolean functions in sum-of-minterms form: F1(A, B, C, D) = (0, 1, 4, 5, 8, 9, 10, 12, 13) F2(A, B, C, D) = (3, 5, 7, 8, 10, 11, 13, 15) Simplify these functions by means of maps. Obtain a composite logic diagram with four inputs, A, B, C, and D, and two outputs, F1 and F2. Implement the two functions together, using a minimum number of NAND ICS. Do not duplicate the same gate if the corresponding term is needed for both functions. Use any extra gates in existing ICs for inverters when possible. Connect the circuit and check its operation. The truth table for F1 and F2 obtained from the circuit should conform with the minterms listed.

Consider two Boolean functions in sum-of-minterms form: F1(A, B, C, D) = (0, 1, 4, 5, 8, 9, 10, 12, 13) F2(A, B, C, D) = (3, 5, 7, 8, 10, 11, 13, 15) Simplify these functions by means of maps. Obtain a composite logic diagram with four inputs, A, B, C, and D, and two outputs, F1 and F2. Implement the two functions together, using a minimum number of NAND ICS. Do not duplicate the same gate if the corresponding term is needed for both functions. Use any extra gates in existing ICs for inverters when possible. Connect the circuit and check its operation. The truth table for F1 and F2 obtained from the circuit should conform with the minterms listed.

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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3. Simplification of Boolean Functions This part of the experiment starts with a given logic diagram from which we proceed to apply simplification procedures to reduce the number of gates and, possibly, the number of ICs. Using the following NAND gates: 7400 two-input NAND 7410 three-input NAND 7404 inverter (one-input NAND) 7420 four-input NAND Consider two Boolean functions in sum-of-minterms form: F1(A, B, C, D) = (0, 1, 4, 5, 8, 9, 10, 12, 13) F2(A, B, C, D) = (3, 5, 7, 8, 10, 11, 13, 15) Simplify these functions by means of maps. Obtain a composite logic diagram with four inputs, A, B, C, and D, and two outputs, F1 and F2. Implement the two functions together, using a minimum number of NAND ICS. Do not duplicate the same gate if the corresponding term is needed for both functions. Use any extra gates in existing ICs for inverters when possible. Connect the circuit and check its operation. The truth table for F1 and F2 obtained from the circuit should conform with the minterms listed.
Transcribed Image Text:3. Simplification of Boolean Functions This part of the experiment starts with a given logic diagram from which we proceed to apply simplification procedures to reduce the number of gates and, possibly, the number of ICs. Using the following NAND gates: 7400 two-input NAND 7410 three-input NAND 7404 inverter (one-input NAND) 7420 four-input NAND Consider two Boolean functions in sum-of-minterms form: F1(A, B, C, D) = (0, 1, 4, 5, 8, 9, 10, 12, 13) F2(A, B, C, D) = (3, 5, 7, 8, 10, 11, 13, 15) Simplify these functions by means of maps. Obtain a composite logic diagram with four inputs, A, B, C, and D, and two outputs, F1 and F2. Implement the two functions together, using a minimum number of NAND ICS. Do not duplicate the same gate if the corresponding term is needed for both functions. Use any extra gates in existing ICs for inverters when possible. Connect the circuit and check its operation. The truth table for F1 and F2 obtained from the circuit should conform with the minterms listed.
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