Positional and Non-Positional Number Systems,
In computer science and mathematics, number systems are fundamental for representing numerical values. They are broadly categorized into Positional and Non-Positional Number Systems , each with unique characteristics and applications. 1. Positional Number System In this system, the position of each digit relative to others determines its value. The value of a number is computed based on a base or radix, and each position represents a power of the base. Key Characteristics: Base/ Radix : The number of distinct digits used, including 0. For example: Binary (Base 2): Uses digits 0 and 1. Decimal (Base 10): Uses digits 0 through 9. Hexadecimal (Base 16): Uses digits 0-9 and letters A-F. Positional Weight : Each digit’s value is multiplied by the base raised to the power of its position. For instance, in decimal 432=4×102+3×101+2×100432 = 4 \times 10^2 + 3 \times 10^1 + 2 \times 10^0432=4×102+3×101+2×100. Examples in Computin...