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Boolean Dual

Tool to calculate the dual of a Boolean logical expression. The dual being a complementary expression inverting addition and multiplication as well as 0 and 1.

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Boolean Dual -

Tag(s) : Symbolic Computation, Electronics

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Boolean Dual

Boolean Dual Calculator



Tool to calculate the dual of a Boolean logical expression. The dual being a complementary expression inverting addition and multiplication as well as 0 and 1.

Answers to Questions

How to calculate the dual of a boolean equation?

The dual of a Boolean or of a Boolean expression is obtained by applying 2 operations: replacing/interchanging the logical ORs by logical ANDs and vice versa and replacing/interchanging the logical 0s by logical 1s and vice versa.

Example: The dual of 'a + b' is a.b

Example: The dual of true is false

How to note the dual of a boolean equation?

The dual of a boolean function $ F $ is sometimes denoted by $ F\' $ or $ F ^ d $.

What is the duality principle?

Every Boolean expression has a dual, the Boolean Duality principle means that every theorem or any computation has a dual equivalent.

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