Inverse of boolean function

Question

What is inverse of boolean function please explain??

Comments

B  ???

Answer 1

Compliment of $(A+B) = A'B'$

And Compliment of $(AB) = (A' + B')$

and  just change $OR$ to $AND$ and $ AND $ to $ OR $ and change $ A->A' $and  $A' ->A$

 

$A) ab + bc + ca + abc => ab + bc + ac(1+b) = ab + bc + ac $

  $  (ab + bc + ac)' = (a'+b')(b'+c')(a'+c') => a'b' + a'c' + b'c' + a'b'c' $

                                                         $    => a'b' + a'c' + b'c'  $

 $ (ab + a'b' + c')'    =>    (a' + b')(a + b)c $

                             $  =>   (a'b + b'a)c $

 

C and D is simply find ::

 $ (a+bc)' => a'(b'+c') $

  And $ ((a' + b' + c')(a + b' + c')(a' + b' + c))'$

                $  => abc + a'bc + abc' $