Prove (a o+ b) o+ (~ a & ~ b) = 1

Christopher Saunders

Christopher Saunders

Answered question

2022-10-29

Prove ( a b ) ( ~ a & ~ b ) = 1

Answer & Explanation

Claire Love

Claire Love

Beginner2022-10-30Added 14 answers

If I understand your notation correctly, it is what I would express as:
( a b ) ( ¬ a ¬ b ) =
If either of a or b is true, then ( a b ) is true and hence:
( a b ) ( ¬ a ¬ b ) =
If neither of a or b is true, then ( ¬ a ¬ b ) is true and hence:
( a b ) ( ¬ a ¬ b ) =
So under any combination of truth values for a and b, the given expression is true.

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