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A Boolean function is a mathematical function that takes one or more binary variables (0 or 1) as input and produces a binary output (0 or 1). These functions are fundamental in digital logic design, computer science, and various fields of mathematics. Boolean functions are used to model logical relationships and operations, and they form the basis of Boolean algebra.
Key Principles of Boolean Functions
Basic Boolean Operations
Boolean functions are built using basic Boolean operations, which include:
AND (Conjunction): Returns true if both inputs are true.
OR (Disjunction): Returns true if at least one input is true.
NOT (Negation): Reverses the input value.
XOR (Exclusive OR): Returns true if exactly one input is true.
NAND (Negation of AND): Returns false only if both inputs are true.
NOR (Negation of OR): Returns false if at least one input is true.
XNOR (Exclusive NOR): Returns true if both inputs are equal12.
Representation of Boolean Functions
Boolean Algebra - GeeksforGeeks
A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. See more
There are various operations that are used in Boolean algebra but the basic operations that form the base of Boolean Algebra are, 1. Negation or NOT Operation 2. Conjunction or AND Operation 3. Disjunction or OR Operation These operations have their … See more
Boolean expression is an expression that produces a Boolean value when evaluated, i.e. it produces either a true value or a false value. Whereas boolean variables are variables that store Boolean numbers. P + Q = R is a Boolean phrase in which P, Q, and R … See more
A truth table represents all the combinations of input values and outputs in a tabular manner. All the possibilities of the input and output are shown in it and hence the name truth … See more
There are various terminologies related to Boolean Algebra, which are used to explain various parameters of Boolen Algebra. That includes, 1. Boolean Algebra 2. Boolean Variables 3. Boolean Function 4. Literal 5. Complement 6. Truth Table Now, we will discuss … See more
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