Boolean Algebra and Logic Design

# Boolean Algebra and Logic Design - Notes on Boolean Algebra...

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Notes on Boolean Algebra and Logic Design Variables & Operations All variables have the values 1 or 0 sometimes we call the values TRUE / FALSE Three operators: OR written as + , as in A + B AND written as , as in A B NOT indicated by an overline or a prime, as in A Operator OR The result of the OR operator is 1 if either of the operands is a 1. The only time the result of an OR is 0 is when both operands are 0s. OR is sort of like addition, but operates only on binary values. Operator AND The result of an AND is a 1 only when both operands are 1s. If either operand is a 0, the result is 0. AND is sort of like multiplication, but operates on binary values. Operator NOT NOT is a unary operator – it operates on only one operand. NOT negates it’s operand. If the operand is a 1, the result of the NOT is a 0. Equations Boolean algebra uses equations to express relationships. For example: This equation expresses a relationship between the value of X and the values of A, B and C.

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