Boolean expression. For instance, F = ab' + ad + c'd + d'. I try to get F complement , i.e. F'. But I got: F' = b'd + ac'd'. How tp get the Product of sums form of F?

Braylen Flowers

Braylen Flowers

Answered question

2022-12-18

How to convert between Sum Of Products and Product of sums?
Boolean expression.
For instance, F = a b + a d + c d + d .
I try to get F complement , i.e. F'. But I got: F = b d + a c d .
How tp get the Product of sums form of F?

Answer & Explanation

siabrukbax

siabrukbax

Beginner2022-12-19Added 4 answers

F = ( F ) = ( b d + a c d ) = ( b d ) ( a c d ) = ( b + d ) ( a + c + d ) .
The complement of a product of sums is always a sum of products, and the complement of a sum of products is always a product of sums because of how the De Morgan laws operate.

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