BinärpunktSysteme

BinärpunktSysteme, also known as binary point systems, are mathematical and computational methods used to represent and manipulate numbers in a binary format. This system is fundamental in digital computing and electronics, where information is processed and stored in binary form. In a binary point system, numbers are expressed using only two digits: 0 and 1. The position of these digits relative to the binary point (similar to the decimal point in the decimal system) determines their value.

The binary point system is based on powers of two, unlike the decimal system which uses powers of ten. For example, in the binary number 101.11, the digits represent the following values: 1 (2^2), 0 (2^1), 1 (2^0), 1 (2^-1), and 1 (2^-2). Adding these values together gives the decimal equivalent of 5.375.

Binary point systems are used in various applications, including computer arithmetic, data storage, and communication protocols. They allow for efficient representation of data and precise calculations in binary form. Understanding binary point systems is crucial for anyone working in fields related to digital technology, as it forms the basis for how computers process and interpret information.