State and prove Demorgan's theorem

41kviews

written 6.1 years ago by

vedantchikhale • 860

De Morgan's Theorem:-

There are two theorems -

De Morgan's First Theorem:-

Statement - The complement of a logical sum equals the logical product of the complements.

Logic equation - $ \bar {A+B} = \bar A .\bar B$

Proof -

enter image description here

NOR gate is equivalent to bubbled AND gate.

De Morgan's Second Theorem:-

Statement - The complement of a logical product equals the logical sum of the complements.

Logic equation - $ \bar {A.B} = \bar A + \bar B$

Proof -

enter image description here

NAND gate is equivalent to bubbled OR gate.

Truth Table to prove De Morgan's Theorem:-

enter image description here

ADD COMMENT EDIT