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Derive a minimum-cost realization of the four-variable function that is equal to 1 if exactly wo or exactly three of its variables are equal to 1; otherwise it is equal to 0.

Derive a minimum-cost realization of the four-variable function that is equal to 1 if exactly wo or exactly three of its variables are equal to 1; otherwise it is equal to 0.

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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Question 5: Derive a minimum-cost realization of the four-variable function that is equal to 1 if exactly two or exactly three of its variables are equal to 1; otherwise it is equal to 0. Question 6: A circuit with two outputs has to implement the following functions f (x1, ..., x4) = m(0, 2, 4, 6, 7, 9) + D(10, 11) g (x1, ..., x4) = E m(2, 4, 9, 10, 15) + D(0, 13, 14) Design the minimum-cost circuit and compare its cost with combined costs of two circuits that implement f and g separately. Assume that the input variables are available in both uncomplemented and complemented forms.
Transcribed Image Text:Question 5: Derive a minimum-cost realization of the four-variable function that is equal to 1 if exactly two or exactly three of its variables are equal to 1; otherwise it is equal to 0. Question 6: A circuit with two outputs has to implement the following functions f (x1, ..., x4) = m(0, 2, 4, 6, 7, 9) + D(10, 11) g (x1, ..., x4) = E m(2, 4, 9, 10, 15) + D(0, 13, 14) Design the minimum-cost circuit and compare its cost with combined costs of two circuits that implement f and g separately. Assume that the input variables are available in both uncomplemented and complemented forms.
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