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Simplify as sum of product
1 Answer
written 5.3 years ago by |
(A+B) (A+B') (A'+B), (A'+B')
= (AA+AB+AB+BB') (A'A'+A'B'+A'B+BB')
= $(A+AB'+AB+0) (A'+A'B'+A'B+0) \ \ \ \ \ \because$ Since, A.A=1 & A'A' =A', BB'=0
= $(A+A(B+B')) (A'+A'(B'+B)) \ \ \ \ \ \ but (B'+B)=1$
= (A+A(1)) (A'+A'(1))
= (A+A) (A'+A')
$\therefore AA'+AA'+AA+AA' \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ but \ AA'= 0$
$\therefore 0+0+0+0= 0$