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I think option A is also correct !

if we take minterm and complement it to get POS then option A can also be the answer

in Digital Logic by (31 points) | 81 views
Yes Ans 1 should be correct .
Using the K-map we can easily get option $(C))$

$f(A,B,C,D)=\overline{A}\cdot C\cdot\overline{D}+A\cdot\overline{B}\cdot C\cdot\overline{D}+A\cdot\overline{B}\cdot \overline{C}\cdot\overline{D}$

In the solution : If we expand the scond term i.e  A.Com(B).Com(D) as A.Com(B).Com(D) { C + Com(C) } then we get option C.

NOTE: here Com() ~ refers as Complement !

Yes we can get option $C)$

@Shawn Frost @Lakshman Patel RJIT Given answer is correct.. Are you getting same expression with normal POS and complement of SOP as you did ? 

1 Answer

0 votes
If we convet it to other from can be written as :

f(A, B, C, D) = $\sum (2, 6, 8, 10)$

Which can be written as:

$A{}'B{}'CD{}' + A{}'BCD{}' + AB{}'C{}'D{}' + AB{}'CD{}'$

which can be reduced to

$A{}'CD{}' + AB{}'C{}'D{}' + AB{}'CD{}'$

Hence the answer is C.
by (11 points)
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