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Boolean logic, named after the 19thcentury mathematician George Boole, is a branch of algebra that involves variables whose values are true or false, typically denoted as 1 or 0 respectively. This form of logic is the bedrock of modern digital computing and is fundamental in the design of computer circuits and programming.
The Basics of Boolean Logic
At its core, Boolean logic deals with three basic operations: AND, OR, and NOT. These operations form the building blocks for more complex logical expressions and computations.
 AND (Conjunction): The AND operation takes two Boolean inputs and returns true only if both inputs are true. In symbolic terms, A AND B is true if both A and B are true.
 Example: If A = true and B = true, then A AND B = true.
 If A = true and B = false, then A AND B = false.
 OR (Disjunction): The OR operation takes two Boolean inputs and returns true if at least one of the inputs is true.
 Example: If A = true and B = false, then A OR B = true.
 If A = false and B = false, then A OR B = false.
 NOT (Negation): The NOT operation takes a single Boolean input and inverts it. If the input is true, the output is false, and vice versa.
 Example: If A = true, then NOT A = false.
 If A = false, then NOT A = true.
Combining Boolean Operations
More complex logical expressions can be created by combining these basic operations. For example, the expression (A AND B) OR NOT C involves all three operations and can be evaluated given specific values of A, B, and C.
Truth Tables
Truth tables are a useful tool for visualizing how Boolean operations work. They list all possible input combinations and the corresponding output for a Boolean expression.
 AND (Conjunction): The AND operation takes two Boolean inputs and returns true only if both inputs are true. In symbolic terms, A AND B is true if both A and B are true.
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