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: PEARSON
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Create the function truth tables, then find canonical forms, then use K-maps to simplify into most efficient SOP and POS.
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Transcribed Image Text:F(X,Y, Z) — ПМ(0,2, 6, 7)
F(A, B, C) %3D ПМ(0, 2, 3,4, 6)
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According to the question we need to create the function truth tables, then find canonical forms, then use K-maps to simplify into most efficient SOP and POS.
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- 3.) Given this truth table, find the unoptimized formula this corresponds to, along with the version which was optimized with a K-Map. A B C D O 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 Unoptimized Sum of Products equation 3a) 0 = Draw the K-map and simplify Optimized Sum of Products equation 3b) 0 =arrow_forwardConsider the minterm expansion for f=Σm(1, 3, 4, 5, 6, 7, 9, 11) with 4 variables. (a) Draw its Karnaugh map. (b) Write down expression for all the prime implicants. (c) Write down expression for all the essential prime implicants. (d) Write down the minimum sum of product expression for f.arrow_forwardProvide an explanation for the answerarrow_forward
- Find the simplest POS expression using K- Maps for the following functions. For each, list all prime implicants found in the K-Map, then list only the essential prime implicants, and then list the simplest solution. i. f (x1, x2, x3) = II M (0, 1, 2, 4, 5) ii. f (x1,x2, x3, x4) = ПМ (0, 1, 2,4, 5) Em (1, 2,5, 6, 7,8, 10, 14)arrow_forwardPlease explain how that is simplified to Y=A, using Karnaugh Maps with 1 and 0 not the other solution that was just submittedarrow_forward1) The truth table of function fis given below left. Please complete its k-map in the right. XI X2 X3 X3arrow_forward
- Simplify the following Boolean functlons using four-variable maps. d. F(A, B, C, D) = ∑ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)arrow_forward1. Given the following Minterm Expansion. Plot the terms on a suitable K-Map and then (a) find out the essential prime implicants(if any) and then (b) determine the minimum SOP for the function. You may need additional prime implicants. F(a, b, c) = Im(0, 1, 2, 4, 6)arrow_forwardSimplify the following Boolean functions using four-variable maps. PLEASE EXPLAIN IN WRITING THE STEPS AND WHAT IS GOINING ON F(A, B, C, D) =∑ (4, 6, 7, 15) F(A, B, C,D) =∑ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)arrow_forward
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