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17 July, 05:44

Use a truth table to verify the first De Morgan law (p ∧ q) ' ≡ p' ∨ q'.

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  1. 17 July, 09:30
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    The table is shown below.

    Step-by-step explanation:

    Demorgan's Law:

    (p∧q) ' = p'∨q'

    Table:

    p q p∧p (p∧q) ' = p' q' p'∨q'

    1 1 1 0 = 0 0 0

    1 0 0 1 = 0 1 1

    0 1 0 1 = 1 0 1

    0 0 0 1 = 1 1 1

    where, p and q are the inputs, ∧ is the AND operator and ∨ is the OR operator.
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