The Boolean function in sum of products form where K-map is given below (figure) is _______
@CSHuB
No it is wrong.
(BC)’ = B’ + C’ .
i.e. A’ (BC + (BC)’ )
=> A’ (BC + B’ + C’)
= > A’
To verify draw the truth table.
Resultant K-map
Alternate Method:-
C
B
0
1
A’
A
Step1: (Mark all the variables in Cell as 0)
f0=B’C’ ---- i
Step2: Minterm for variable A’. (Mark minterm obtained for 1 as Don’t Care and target variable as 1)
X
fA’=A’C’ --- ii
Step2: Minterm for variable A. (Mark minterm obtained for 1 as Don’t Care and target variable as 1)
fA=ABC ---iii
f=ABC+A’C’+B’C’ (Ans)
$\downarrow$
$f=\Sigma (0,2,4,7)$
$f=A'B'C'+A'BC'+AB'C'+ABC$
$f= ABC+A’C’+B’C’$
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