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Find all prime implicants and all minimum sum-of-products expressions and all minimum product-of-sums for the following functions. 1. f(A,B,C,D) = Em(3,4,11,15) + E d(5,6,7,8,9,10) 2. f(A,B,C,D) = Em(4) + E d(5,6,7,8,9,10,11,12,13,14)

Find all prime implicants and all minimum sum-of-products expressions and all minimum product-of-sums for the following functions. 1. f(A,B,C,D) = Em(3,4,11,15) + E d(5,6,7,8,9,10) 2. f(A,B,C,D) = Em(4) + E d(5,6,7,8,9,10,11,12,13,14)

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
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Find all prime implicants and all minimum sum-of-products expressions and all minimum product-of-sums for the following functions. 1. f(A,B,C,D) = Em(3,4,11,15) + E d(5,6,7,8,9,10) %3! 2. f(A,B,C,D) = Em(4) + E d(5,6,7,8,9,10,11,12,13,14)
Transcribed Image Text:Find all prime implicants and all minimum sum-of-products expressions and all minimum product-of-sums for the following functions. 1. f(A,B,C,D) = Em(3,4,11,15) + E d(5,6,7,8,9,10) %3! 2. f(A,B,C,D) = Em(4) + E d(5,6,7,8,9,10,11,12,13,14)
Expert Solution
Step 1

Solution 1:

Consider the following function:

Determine the all prime implicants of the given function using k-map:

C:\Users\rameshchandra\Desktop\1.jpg

From Figure 9, the prime implicants of the function are as follows:

Thus, the prime implicants of given function are, .

 

Draw the Karnaugh map of the function implemented in sum-of-products form.

 

C:\Users\rameshchandra\Desktop\2.jpg

From Figure 10, the simplified sum-of-products expression is as follows:

Thus, the minimum sum-of-products expression is,

.

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