Question

state the principle of duality in Boolean Algebra ​

Answer 1

The principle of duality in Boolean algebra states that if you have a true Boolean statement (equation) then the dual of this statement (equation) is true. The dual of a boolean statement is found by replacing the statement’s symbols with their counterparts. This means a “0” becomes a “1”, “1” becomes a “0”, “+” becomes a “.” and “.” becomes a “+”.

Here’s an example of the principle of duality in Boolean algebra:

Suppose we have the following true Boolean statement (equation):

(*) 1 + 0 = 1

The dual of this statement is:

(**) 0 . 1 = 0

As we can see, the dual of the true Boolean statement (*) is (**). We found (**) by replacing each symbol from (*) with its Boolean counterpart as described above. Clearly, (**) is also a true Boolean statement.

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Answer 2

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