# Integer Numbers

#### Understanding Integer Numbers

**Integer numbers**are a group of numbers that include all the whole numbers along with their negatives.- They are represented on the number line where each integer has a
**distinct predecessor and successor**. **Difference**between two integers is an integer.**Product**of two integers is also an integer.- Note that integers include
**zero**and**negative values**, unlike natural numbers.

#### Binary Representation of Integer Numbers

- Positive integer numbers are represented in the
**binary system**similar to natural numbers. - Dealing with negative integers in binary requires a system like
**two’s complement**, which includes ‘flipping’ the bits and adding 1 to the binary representation. - Understanding this binary representation of integers, both positive and negative, is crucial to
**understanding the fundamental operation of computers**.

#### Encoding and Decoding Integer Numbers

**Encoding**an integer number requires transforming a number from its original base (usually decimal) to another base, such as binary or hexadecimal.- Different protocols might be deployed for positive and negative numbers, with Two’s Complement being common for negatives.
**Decoding**follows the reverse process, where the integer is brought back to its original base from the encoded base representation.

#### Importance of Integer Numbers in Computing

- Integer numbers are used to represent quantities that may be increased or decreased, such as
**account balances**or**game scores**. - Specific instructions, called
**integer instructions**, deal with integer data in machine-level operations. - Understanding integers is crucial to understanding
**arithmetic underflows and overflows**in computing. - They also play a vital role in
**digital signal processing**,**graphics**, and**scientific computing**.