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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'
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).
Standard form of a complex number So, let's start out with some of the basic definitions & terminology for complex numbers. The standard form of a complex number is
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