Table of Contents
Digital Electronics Tutorials
Boolean Algebra Theorems in Hindi
Boolean Algebra Theorems
Boolean Algebra मे कई ऐसे laws, theorems proof किए गए है जिन्हे अगर हम अच्छे से जान ले तो Boolean Algebra के hard problems को भी आसानी से solved किया जा सकता है।
Identity Laws
AND Identity A · 1 = A
OR Identity A + 0 = A
Null Laws
AND with 0 A · 0 = 0
OR with 1 A + 1 = 1
Domination Laws
(Same as null laws above)
Idempotent Laws
A + A = A
A · A = A
Complement Laws
A + A’ = 1
A · A’ = 0
Double Negation Law
(A’)’ = A
Commutative Laws
A + B = B + A
A · B = B · A
Associative Laws
A + (B + C) = (A + B) + C
A · (B · C) = (A · B) · C
Distributive Laws
A · (B + C) = A·B + A·C
A + (B · C) = (A + B) · (A + C)
Absorption Laws
A + A·B = A
A · (A + B) = A
De Morgan’s Theorems
Converts AND ⇄ OR with complements
(A · B)’ = A’ + B’
(A + B)’ = A’ · B’
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