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Question 4: 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 4: 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.

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 1: Given: A 100101102, B=11110102, answer the following questions? A) If A and B are unsigned numbers, what is A x B in binary? Show the partial products. B) If A and B are 2 complement numbers, what is A + B? Show your work. C) If A and B are signed numbers, what is A - B using 2' complement subtraction? Show your work. Question 2 Use only 8:1 Multiplexer to implement the following function: G = (A+B+C)(A+ C + D)(B+C + D)(B+C+D) Do not use any additional logic gates. Question 3: (1) use K-Map to determine the minimum-cost SOP and POS expressions for the function: f(x1, x2, x3) = m(4,6,8,10,11,12,15) + D (3,5,7,9) Question 4: 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.
Transcribed Image Text:Question 1: Given: A 100101102, B=11110102, answer the following questions? A) If A and B are unsigned numbers, what is A x B in binary? Show the partial products. B) If A and B are 2 complement numbers, what is A + B? Show your work. C) If A and B are signed numbers, what is A - B using 2' complement subtraction? Show your work. Question 2 Use only 8:1 Multiplexer to implement the following function: G = (A+B+C)(A+ C + D)(B+C + D)(B+C+D) Do not use any additional logic gates. Question 3: (1) use K-Map to determine the minimum-cost SOP and POS expressions for the function: f(x1, x2, x3) = m(4,6,8,10,11,12,15) + D (3,5,7,9) Question 4: 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.
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