Boolean Algebra | GATE Notes & Videos for Electrical Engineering - Electrical Engineering (EE) PDF Download

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FAQs on Boolean Algebra - GATE Notes & Videos for Electrical Engineering - Electrical Engineering (EE)

1. What is Boolean algebra?
Ans. Boolean algebra is a mathematical structure that represents logical relationships and operations using variables, constants, and logical operators such as AND, OR, and NOT. It provides a formal system for manipulating and simplifying logical expressions.
2. How is Boolean algebra used in computer science?
Ans. Boolean algebra is extensively used in computer science for designing and analyzing digital circuits, programming, and logical operations. It forms the foundation of digital logic, allowing for the representation and manipulation of binary data.
3. What are the basic operations in Boolean algebra?
Ans. The basic operations in Boolean algebra are AND, OR, and NOT. The AND operation returns true if both operands are true, the OR operation returns true if at least one operand is true, and the NOT operation negates the truth value of an operand.
4. Can Boolean algebra be used to simplify complex logical expressions?
Ans. Yes, Boolean algebra provides rules and techniques to simplify complex logical expressions. By applying these rules, such as De Morgan's laws and distributive laws, complex expressions can be reduced to simpler forms, making them easier to understand and analyze.
5. How does Boolean algebra relate to truth tables?
Ans. Truth tables are used to represent the possible combinations of inputs and corresponding outputs in a logical expression. Boolean algebra allows for the manipulation of these truth tables using logical operations, enabling the simplification and analysis of complex logical circuits and expressions.
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