De Morgan's Theorem

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 We use De Morgan’s theorems to solve the expressions of Boolean Algebra. It is a very powerful tool used in digital design. This theorem explains that the complements of the products of all the terms are equal to the sums of the complements of each and every term. Likewise, the complements of the sums of all the terms are equal to the products of the complements of each and every term.

What are De Morgan’s Theorems?

Two of the theorems were suggested by De Morgan that are extremely useful for Boolean Algebra. These two theorems have been discussed below in this article:


Theorem 1


The LHS (left-hand side) of this theorem represents the NAND gate that has inputs A and B. On the other hand, the RHS (right-hand side) of this theorem represents the OR gate that has inverted inputs.

The OR gate here is known as a Bubbled OR.



Here is a table that shows the verification of the first theorem of De

 Morgan:





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