State demorgans law and prove it using the truth table, Mathematics

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State DeMorgan's law. Prove it using the truth table.

Ans: DeMorgan's law defines that

(i) (x ∨ y)' = x' ∧ y'

(ii) (x ∧ y)' = x' ∨ y'

1355_State DeMorgan’s law and Prove it using the truth table.png

Now let us draw truth table for the two statements

It is clear from the truth table that column (3) is equal to column (4). Likewise column (5) is equal to column (6).

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