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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Simplified expression/s for following Boolean function
$F(A,B,C,D)=\sum(0,1,2,3,6,12,13,14,15)$
is/are
(A) $A'B' + AB + A'C'D'$
(B) $A'B' + AB + A'CD'$
(C) $A'B' + AB + BC'D'$
(D) $A'B' + AB + BCD'$
Choose the correct answer from the options given below:
$F(A,B,C,D)=\sum(0,1,2,3,6,12,13,14,15)$
is/are
(A) $A'B' + AB + A'C'D'$
(B) $A'B' + AB + A'CD'$
(C) $A'B' + AB + BC'D'$
(D) $A'B' + AB + BCD'$
Choose the correct answer from the options given below:
Solution
Given minterms are:$0,1,2,3,6,12,13,14,15$
$A'B'$ covers minterms $0,1,2,3$
$AB$ covers minterms $12,13,14,15$
Remaining minterm is $6$
Option (B):
$A'CD'$ covers minterms $2,6$
Both are present in the function.
So, option (B) is correct.
Option (D):
$BCD'$ covers minterms $6,14$
Both are present in the function.
So, option (D) is also correct.
Options (A) and (C) include minterm $4$, which is not present in the function.
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