Answer :
Answer:
MARK AS BRAINLIST
Explanation:
The hexadecimal number system, often referred to as "hex," is a base-16 numeral system. It uses sixteen symbols to represent values: 0-9 for the first ten values and A-F (or a-f) for the next six values, where A represents 10, B represents 11, and so on up to F representing 15.
In contrast to our everyday decimal (base-10) system, which uses ten symbols (0-9), hexadecimal provides a concise way to represent large binary numbers. Each hexadecimal digit corresponds to a group of four binary digits (bits), making it useful in computer science and digital electronics for representing binary data more compactly.
Here's a brief comparison of how numbers are represented in different systems:
- **Decimal (Base-10)**: Uses 0-9 digits. Each digit represents powers of 10.
Example: 123 (in decimal) = \(1 \times 10^2 + 2 \times 10^1 + 3 \times 10^0\)
- **Hexadecimal (Base-16)**: Uses 0-9 and A-F digits. Each digit represents powers of 16.
Example: 1A3 (in hexadecimal) = \(1 \times 16^2 + A \times 16^1 + 3 \times 16^0\), where A represents 10 in decimal.
- **Binary (Base-2)**: Uses 0 and 1 digits. Each digit represents powers of 2.
Example: 101 (in binary) = \(1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0\)
Hexadecimal is commonly used in programming, particularly in contexts involving memory addressing, byte representation, and color codes (RGB values in web design). It provides a shorthand for representing and manipulating binary data in a more human-readable format compared to pure binary.
Understanding hexadecimal is essential for computer programmers and engineers working with low-level systems, as it facilitates efficient communication and manipulation of binary data in a structured and manageable way.