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BOOLEAN ALGEBRA OPERATIONS

BOOLEAN ALGEBRA OPERATIONS

The basic operations of Boolean algebra are as follows:

  • Conjunction or AND operation
  • Disjunction or OR operation
  • Negation or Not operation

Below is the table defining the symbols for all three basic operations.

 

OperatorSymbolPrecedence
NOT‘ (or) ¬Highest
AND. (or) ∧Middle
OR+ (or) ∨Lowest

 

Suppose A and B are two Boolean variables, then we can define the three operations as;

  • A conjunction B or A AND B, satisfies A ∧ B = True, if A = B = True or else A ∧ B = False.
  • A disjunction B or A OR B, satisfies A ∨ B = False, if A = B = False, else A ∨ B = True.
  • Negation A or ¬A satisfies ¬A = False, if A = True and ¬A = True if A = False