# Hex Definition

Learn about the hexadecimal system, its benefits, examples, and real-world applications. Discover why programmers prefer hex for memory management, colors, and bitwise operations.

Hexadecimal system, often referred to as hex, is a base-16 number system widely used in computer programming and digital electronics. In this system, numbers are represented using 16 distinct symbols – 0-9 and A-F. Each hexadecimal digit represents four bits, making it a convenient way to express binary numbers in a more compact form.

• Compact Representation: Hexadecimal numbers are shorter than their binary equivalents, making them easier to work with in programming languages and digital circuits.

• Easy Conversion: Hexadecimal numbers can be easily converted to binary and vice versa, simplifying the process of working with binary data.

Some common examples of hexadecimal numbers include:

• 0x5A7F – Equivalent to 23167 in decimal and 10110100111111 in binary.

• 0xFF00 – Equivalent to 65280 in decimal and 1111111100000000 in binary.

• 0xBEEF – Equivalent to 48879 in decimal and 1011111011101111 in binary.

## Case Study: Using Hexadecimal in Programming

Many programming languages, such as C and Java, use hexadecimal notation for specifying colors in web development. For example, the color red can be represented as #FF0000, where FF represents the maximum intensity of red in the RGB (red, green, blue) color space.