what is number system in computer

In computers, a number system is a method of representing and working with numbers using digits or symbols in a mathematical manner. The most commonly used number system in computers is the binary system, which uses only two digits, 0 and 1, to represent all numbers. Other popular number systems include the decimal system, which uses 10 digits from 0 to 9, the octal system, which uses 8 digits from 0 to 7, and the hexadecimal system, which uses 16 digits from 0 to 9 and A to F. Each digit in a number has a specific place value, which depends on its position in the number. The purpose of using different number systems in computers is to make calculations and data storage more efficient and to reduce the amount of necessary circuitry, space, energy consumption, and cost. Computer programs and programming languages use number system concepts to perform arithmetic operations, store data, and communicate with hardware devices.