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Boolean algebra is a branch of algebra that deals with binary variables and logical operations. It was introduced by George Boole in 1854 and is fundamental in the development of digital electronics systems, computer science, set theory, and statistics. Boolean algebra uses the symbols 0 and 1, or True and False, to represent logical values.
Basic Operations
Negation (NOT)
The NOT operation reverses the value of a Boolean variable. If A = 1, then NOT A (denoted as A') = 0, and if A = 0, then NOT A = 1.
Conjunction (AND)
The AND operation returns true only if both operands are true. For example:
A = True, B = True, then A AND B = True
A = True, B = False, then A AND B = False
Disjunction (OR)
The OR operation returns true if at least one operand is true. For example:
A = True, B = False, then A OR B = True
A = False, B = False, then A OR B = False
Boolean Expressions and Variables
Boolean Algebra - Math is Fun
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