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Step 1 of 9 4.18DP (a) Consider the following data: The logic function is, F= (0,1,3,5,14)+d(8,15) The K-map for function is shown Figure 1. WX YZ 00 01 11 10 00 d 01 1 11 d 10 Figure Step 2 of 9 From the K-map in Figure the minimum sum of products expression is, F= Thus, the minimum sum products expression A distinguished 1-cell of logic function an input combination that is covered by only one prime implicant. The distinguished cells of function F= (0,1,3,5,14)+d(8,15) are highlighted with blue color in Figure Step 3 of 9 (b) Consider the following data: The logic function F= (0,1,2,8,11)+d(3,9,15) The K-map for function shown in Figure 2. WX YZ 00 01 11 10 00 01 d 11 d d 10 Figure Step 4 of 9 From the -map in Figure 2. the minimum sum products expression F= Thus, the minimum sum of products expression is A distinguished 1-cell of logic function an input combination that covered by only one prime The distinguished 1- cells of function F= (0,1,2,8,11)+d(3,9,15) are highlighted with blue color Figure 2. Step 5 of 9 (c) Consider the following The logic function F= (4,6,7,9,13)+d(12) The K-map for function is shown in Figure AB CD 00 01 11 10 00 d 01 11 10 Figure From the K-map Figure the minimum sum of products expression is, F=A C' D Thus, the minimum sum products expression is A distinguished 1-cell of logic function an input combination that is covered by only one prime implicant The distinguished cells of function F= (4,6,7,9,13)+d(12) are highlighted with blue color in Figure Step (d) Consider the following data: The logic function F= (1,5,12,13,14,15)+d(7,9) The K-map for function is shown in Figure 4. \AB CD 00 01 11 10 00 + 01 1 d + 11 d 10 Figure Step From the in Figure the minimum sum of products expression Thus, the minimum sum of products expression is A distinguished 1-cell of logic function an input combination that is covered by only one prime The distinguished cells of function F= are highlighted with blue color Figure Step (e) Consider the following data: The logic function F= (4,5,9,13,5)+d(0,1,7,1,12 The K-map for function shown Figure WX YZ 00 01 11 10 00 d d 01 d 11 d d 10 Figure Step 9 of 9 From the Figure 5, the minimum sum of products expression is, Thus, the minimum sum of products expression is F= A distinguished cell of logic function an input combination that is covered by only one prime implicant. The distinguished cells of function F= are highlighted with blue color