Question

State the principle of duality in boolean algebra and give the dual of the boolean expression:
(X+Y)(X + Z).(Y + Z)
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Answer 1

Answer:

According to the principle of duality, a true boolean statement or expression can be converted to its dual form by replacing the “0”s in the statement or expression with “1”s, and vice versa and by replacing the “+”s in the statement or expression with “.”s, and vice versa.

The dual form of (X+Y)(X + Z).(Y + Z)  is

(X.Y)+(X.Z)+(Y.Z)

In the above dual expression all the “+”s were replaced by “.”s, and vice versa.

Answer 2

Answer:

(xy)+(xz)+(yz) is the dual of the Boolean expression

Explanation:

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