Boolean-Algebra

  1. Boolean Algebra:

    Invented by George Boole


    Logical Statement: Statement which can either be classified either as True or False.

    a. Tom Cruise is President of the United States of America. -> True
    b. 5+5 = 13 -> False
    c. Beautiful dress -> Not a logical statement

    Logical Operators: AND, OR, NOT
    These are fundamental operators.
    Other Operators are NAND, NOR, XOR, XNOR

    Boolean Expressions are Compound Statements.
    Compound Statements are 2 or more logical statements that are combined with the help of a logical operator.

    Boolean Constant (Logical Constant)
    --True (1/ON/high)
    --False (0/OFF/low)

    Basic Operators:
    AND
    OR
    NOT

    Symbols:
    .
    +
    '

    Expressions:
    A.B -> Binary
    A+B -> Binary
    A' -> Unary


    Truth Table is all possible inputs with the corresponding outputs.
    A B A.B A+B
    0 0 0 0