in Digital Logic
4,075 views
1 vote
1 vote
The boolean expression A`BE+BCDE+BC`D`E+A`B`D`E`+B`C`DE` can be simplified to BE+B`D`E`, if the don't care conditions are:

(A) ABCDE+AB`CDE`

(B) ABCD+AB`CDE`+ABCD`E

(C) AB`CDE`+ABCDE+ABCD`E

(D) none
in Digital Logic
4.1k views

1 Answer

1 vote
1 vote

A`BE+BCDE+BC`D`E+A`B`D`E`+B`C`DE` = ∑m(0,2,4,9,11,13,15,18,31,25)
 

BE+B`D`E` = ∑m(0,4,9,11,16,20,25,29,31) 

missing minterm are 16 20 19 which can't be achieved by any expression given in option so 
option D none.