0 votes 0 votes Given F=xy+z What is /are the essential prime implicants of F? a) xy b) z c) either a or b d) Both a and b Digital Logic digital-logic + – sh!va asked Feb 3, 2017 sh!va 1.2k views answer comment Share Follow See 1 comment See all 1 1 comment reply sh!va commented Feb 3, 2017 reply Follow Share Given solution: [[ Please clarify whether this is the right way to solve]] If a prime implicant includes a minterm that is not included in any other prime implicant, then that prime implicant is essential Check in order: xy--> xyz,xyz’ are minterms produced by xy. These minterms are not produced by any other prime implicants so far. xy is essential z --> xyz, xyz, xyz’, x’yz, xy’z, x’y’z are mintrems produced by z. These minterms are already produced by xy. Hence z is not essential If z was checked first, z is essential and xy is not Hence solution is either a or b 1 votes 1 votes Please log in or register to add a comment.
Best answer 2 votes 2 votes 2 pi (1,3,5,7) for z nd (6,7) for xy both r epi saurabh rai answered Feb 3, 2017 • selected Feb 3, 2017 by srestha saurabh rai comment Share Follow See all 3 Comments See all 3 3 Comments reply sh!va commented Feb 3, 2017 reply Follow Share Can you explain a little, plz.. 0 votes 0 votes saurabh rai commented Feb 3, 2017 reply Follow Share z --> xyz, xyz, xyz’, x’yz, xy’z, x’y’z are mintrems produced by z. These minterms are already produced by xy. Hence z is not essential if atleast 1 minterm is not coverd by other pi then it is epi 0 votes 0 votes sh!va commented Feb 4, 2017 reply Follow Share So answer should be either xy or z not both. Am I correct? 1 votes 1 votes Please log in or register to add a comment.
1 votes 1 votes Option (D) is correct Make K-map you directly see Lakshman Bhaiya answered Apr 13, 2017 Lakshman Bhaiya comment Share Follow See all 0 reply Please log in or register to add a comment.