A numbering system is a way to represent numbers using specific symbols or digits. The most common system is the decimal system, which uses ten digits (0-9) to express all numbers. Other systems include the binary system, which uses only two digits (0 and 1), and the hexadecimal system, which uses sixteen symbols (0-9 and A-F). Each system has its own rules for counting and representing values. Numbering systems are essential in mathematics, computing, and everyday life. They help us perform calculations, measure quantities, and communicate numerical information. Understanding different numbering systems is crucial for fields like computer science, where binary is often used, and mathematics, where various systems can simplify complex problems.