## Explain the meaning of duality in boolean algebra?, Electrical Engineering

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Explain the Meaning of Duality in Boolean Algebra?

Any algebraic equality that derived from the axioms of the Boolean algebra remains true when the operators OR and AND are interchanged and the identity elements 0 and 1 are interchanged. This property is called as the duality principle. For illustration,

x + 1 = 1

x * 0 = 0 (dual)

Since of the duality principle, for any given theorem we get it's dual for free.

Consider the following illustration

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