Boolean algebra is a mathematical structure that deals with binary variables and logical operations. It was developed by mathematician George Boole in the mid-19th century and is widely used in computer science and digital electronics.
Boolean algebra operates on two binary values, typically represented as 0 and 1, or true and false. It defines several logical operations, including AND, OR, and NOT, which can be used to manipulate and combine these binary values.
In Boolean algebra, variables can take on only two possible values, true or false. These variables can be combined using logical operators to create more complex expressions. The logical AND operator returns true only if both operands are true, the logical OR operator returns true if at least one operand is true, and the logical NOT operator negates the value of the operand.
Boolean algebra is used in various applications, such as designing digital circuits, creating logical expressions in programming languages, and solving logical problems in mathematics and computer science. It provides a formal and systematic way to analyze and manipulate logical statements and expressions.