0 votes 0 votes Minimise the following problems using the Karnaugh maps method. Z = f(A,B,C) = + B + AB + AC focus _GATE asked Jun 13, 2015 focus _GATE 766 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 3 votes 3 votes A'B'C' : 000 A'B = A'BC' + A'BC : 010 | 011 ABC' : 110 AC = AB'C + ABC : 101 | 111 = min { 0, 2, 3, 5, 6, 7} Now solve k- Map.. 0 1 3 2 4 5 7 6 So, 2-3-6-7, 0-2, and 5-7 can be combined. We get B + AC + A'C' Digvijay Pandey answered Jun 13, 2015 selected Jun 13, 2015 by Digvijay Pandey Digvijay Pandey comment Share Follow See all 3 Comments See all 3 3 Comments reply Digvijay Pandey commented Jun 13, 2015 reply Follow Share @Arjun sir sequence is ABC so A should be MSB .. Expression will be : B {2,3,6,7} + AC {5,7} + A'C' {0,2} = B + AC + A'C' 1 votes 1 votes focus _GATE commented Jun 13, 2015 reply Follow Share why we are wrinting A'B = A'BC' + A'BC similarly AC = AB'C + ABC ..?? 0 votes 0 votes Digvijay Pandey commented Jun 14, 2015 reply Follow Share Yes . U r right. 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes The above function can be represented using K- map as -> A'B' A'B AB AB' C' 1 1 1 C 1 1 1 So there are 1 Quad and 2 pairs are formed . After solving K-map We get minimized solution as - A'C'+B+AC Brij gopal Dixit answered May 8, 2019 Brij gopal Dixit comment Share Follow See all 0 reply Please log in or register to add a comment.