38 38 votes The function represented by the Karnaugh map given below is $A.B$ $AB+BC+CA$ $\overline{B \oplus C}$ $A.BC$ Digital Logic gate1998 digital-logic k-map normal + – Kathleen 13.8k views answer comment Share Follow Print See all 20 Comments 20 20 Comments reply Show 17 previous comments menosuno commented Oct 23, 2025 reply Follow flag @ritiksri8 Only when there are even number of boolean variables. When there are odd number of boolean variables, they are not complements of each other. 2 2 replyShare Prashant-G commented Jun 9 reply Follow flag Correct answer is option c✅ 0 0 replyShare GO Classes commented Jun 22 reply Follow flag You can watch the detailed solution by clicking the below button...!Watch Detailed Solution 1 1 replyShare Please log in or register to add a comment.
Best answer 47 47 votes The given K-map is not standard as after "01" we have "10" and two variables are changing for consecutive column. This means it is not safe to merge adjacent $1s.$ By converting the K-map to standard form we get which gives $BC + \bar B\bar C = B \text{ XNOR } C = B \odot C$ This can be represented as negation of $\text{XOR} = \overline{B \oplus C}$ Option C is correct. shekhar chauhan answered Apr 12, 2016 • selected Apr 27, 2019 by Arjun shekhar chauhan comment Share Follow See all 4 Comments 4 4 Comments reply Pravin Paikrao commented Jul 15, 2016 reply Follow flag what about minterm formed by postion m0 and m1 ie A'B' 0 0 replyShare pC commented Aug 26, 2016 reply Follow flag This is typo minterm m1 is 0 not 1 2 2 replyShare cse7 commented Aug 30, 2016 reply Follow flag why can't we make a pair of 4??? if we have all the ones then we must have taken 8 pairs. why here is a problem with 4 ones? 1 1 replyShare pC commented Aug 31, 2016 reply Follow flag @Gurjot_Singh Read the comments after the question Closely obserb the given image and compare with the standard diagram used to represent K-Map. This would solve your doubt 1 1 replyShare Please log in or register to add a comment.
0 0 votes On observation , wherever the value of B and C are equal , we find that the function value becomes 1, this represents an XNOR gate which is the complement of XOR gate and hence option c , (B XOR C)' Himanshu P Dev answered May 30, 2025 Himanshu P Dev comment Share Follow 0 reply Please log in or register to add a comment.
