0 votes 0 votes Given f=f1.f2, where f1=∑m(0,1,5)+d(2,3,7) and f2=∑m(1,2,4,5)+d(0,7) f=?? sampad asked Sep 29, 2015 sampad 1.6k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes since f= f1.f2 so f will be equal to 1 iff f1=1 and f2 =1 f1 is 1 for the minterms 0,1,2,3,5,7 and f2 is 1 for the minterm 0,1,2,4,5,7 so f will be 1 for the minterm 0,1,2,5,7 where 7 is the dont care minterm . so f = ∑m(1,5)+d(0,2,7) Saurav answered Sep 30, 2015 Saurav comment Share Follow See all 2 Comments See all 2 2 Comments reply Umang Raman commented Oct 2, 2015 reply Follow Share how 2 is in minterm of f if f1 give the 2(0) since it is dont care and f2 gives(1) since its minterm then f will not contain the 2 as minterm in its function. there is difference between dont care and minterm minterm means value 1 dont care can be 1 and 0 . 0 votes 0 votes Tendua commented Oct 2, 2015 reply Follow Share sourav u did it wrong . plz make a truth table and verify. plz edit or delete. 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes According to me F is AnD operation of f1 and f2 so in f minterm will be common min-term of both function. since it is AND operation true is only for f1=1 f2=1. and for dont care first take common and then check the f1 dont care is present in minterm of f2 or not if yes then take it in(e.g. let 2 in f1 be 1 and 2 is in f2 so it will be 1) similarly check for f2 vice versa. this is done because . 1 and Dn't care is a don't care because the value will now depend on what i take the don't care to be . so we just take intersections of don't care with minterms of f2. f1=∑m(0,1,5)+d(2,3,7) f2=∑m(1,2,4,5)+d(0,7) f=∑m(1,5)+d(0,2,7) Umang Raman answered Sep 30, 2015 Umang Raman comment Share Follow See 1 comment See all 1 1 comment reply sampad commented Oct 1, 2015 reply Follow Share Thanks for the solution. 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes f1.f2 = $\sum$m (1, 5) + $\oslash$( 0, 2, 7) using : 1 . $\oslash$ = $\oslash$ where $\oslash$ is dont care. 0. $\oslash$ = 0 $\oslash$ . $\oslash$ = $\oslash$ Brij gopal Dixit answered May 9, 2019 Brij gopal Dixit comment Share Follow See all 0 reply Please log in or register to add a comment.