# Logic

## Logic

## Introduction to Logic

**Logic**is an important concept in computer science and is fundamental to how computers operate.- It involves principles and applications of
**Boolean algebra**, named after mathematician George Boole. - Boolean logic allows for the manipulation of
**logical variables**, which only have two possible values:**True**or**False**.

## Logical Operators

- Logical operators such as
**AND**,**OR**, and**NOT**are fundamental to Boolean logic.

### AND Operator

- The
**AND**operator returns True if both its inputs are True. - If either or both inputs are False, it returns False.

### OR Operator

- The
**OR**operator returns True if at least one of its inputs is True. - It only returns False if both inputs are False.

### NOT Operator

- The
**NOT**operator simply reverses the value of its input. - If its input is True, it returns False, and if its input is False, it returns True.

## Logic Gates

**Logic gates**are electronic components that implement Boolean logic using electrical signals.- There are several types, including AND, OR, NOT, NAND, NOR, XOR, and XNOR gates.
- Outputs depend on the current inputs, and are used to make decisions within a computer system.

## Truth Tables

**Truth tables**provide a way to represent the outcome of all the possible inputs to a logical operation.- They are essential for understanding the behaviour of logic gates and circuits.
- Correct interpretation of truth tables facilitates better programming and circuit design.

## Application in Computers

- Logic is integral to many aspects of computing, from
**coding**, where logical operators are used in conditional statements, to**hardware design**, where logic gates form integral parts of circuits. - Ultimately, these principles allow computers to process complex tasks despite their binary nature.