3 votes 3 votes The maximum number of boolean expressions that can be formed for the function f(x,y,z) satisfying the relation f(x',y,z')=f(x,y,z) is Digital Logic boolean-algebra digital-logic made-easy-test-series + – Jhunjhunuwala asked Dec 7, 2015 Jhunjhunuwala 1.7k views answer comment Share Follow See all 8 Comments See all 8 8 Comments reply sandygate commented Jan 28, 2019 reply Follow Share is the answer 16 0 votes 0 votes Badayayash commented Jan 28, 2019 reply Follow Share yes how ? 0 votes 0 votes balchandar reddy san commented Jan 28, 2019 reply Follow Share Generally all 8 sets of i/p's can map to 0 or 1, with 2^8 expressions but in this case o/p for 4 sets such as 000,101 and for the other 3 sets it will be same, which will make it 16. 2 votes 2 votes Badayayash commented Jan 28, 2019 reply Follow Share can you elaborate a little more i m not getting u r saying output for 101 111 010 000 will be same as they have given condition then ? 0 votes 0 votes sandygate commented Jan 28, 2019 reply Follow Share see in this question the function f(x',y,z')=f(x,y,z) when both x' and x are present in function like case 1:if x'yz' is present then xyz must also be present case 2:similarly for y' in place of y; case 3: when x'yz is present then xyz' must be present case 4: y' instead of y now for each case either it is present or not present. hence we get 2 combination for each case; ans =2*2*2*2=16 2 votes 2 votes Badayayash commented Jan 28, 2019 reply Follow Share oh got it thank you so much 0 votes 0 votes sandygate commented Jan 28, 2019 reply Follow Share no problem 1 votes 1 votes kondetichandu commented Oct 20, 2019 reply Follow Share i can't get it could you give more information about it 0 votes 0 votes Please log in or register to add a comment.
5 votes 5 votes We have 4 pairs here. (0,0,0) and (1,0,1) (0,0,1) and (1,0,0) (0,1,0) and (1,1,1) (0,1,1) and (1,1,0) Here all pairs have 2 choices (mapped to either 0 or 1 ). 4 pairs having 2 choices So 24=16 Hence 16 is the Answer. LeenSharma answered Dec 7, 2015 LeenSharma comment Share Follow See all 3 Comments See all 3 3 Comments reply Brij Mohan Gupta commented Dec 6, 2017 reply Follow Share Can you elaborate it more. 0 votes 0 votes manish kumar commented Aug 26, 2019 reply Follow Share plz elaborate 0 votes 0 votes Saurav_Kumar commented Nov 20, 2019 reply Follow Share why you have taken 0,1,2,3 0 votes 0 votes Please log in or register to add a comment.