State the principle of duality. Write the dual of 1 + x = 1.

1.	State the principle of duality. Write the dual of 1 + x = 1.
Answer» The principle of duality states that starting with a Boolean relation, another relation can be derived by Changing each OR sing (+) to an AND sign (.) Changing each AND sing (.) to an OR sign (+). Replacing each 0 by 1 and each 1 by 0. All variables are complemented. For example, (X + Y’) dual is (X’. Y) 1 + X = 1 is 0 . X = X.

Answer»

The principle of duality states that starting with a Boolean relation, another relation can be derived by

Changing each OR sing (+) to an AND sign (.)
Changing each AND sing (.) to an OR sign (+).
Replacing each 0 by 1 and each 1 by 0.
All variables are complemented.

For example, (X + Y’) dual is (X’. Y)
1 + X = 1 is 0 . X = X.

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State the principle of duality. Write the dual of 1 + x = 1.

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