binärer

Binärer is the German term used to describe concepts and systems based on binary, that is, two values. In technical usage, binärer refers to the base-2 numeral system, Boolean logic, and data representations that rely on two distinct states, typically 0 and 1. The binary system represents numbers by positions of powers of two, and is the foundation of modern digital electronics and computing.

Historically, binary representations appeared in various cultures, but the modern emphasis on binärer as a basis for computation emerged with Gottfried Wilhelm Leibniz in the 17th century, who connected binary arithmetic to logical principles. The German adjective binär derives from Latin binarius, meaning "consisting of two."

In practice, computers store information as bits. A bit is a binary digit that can be 0 or 1; eight bits form a byte. Binary encoding is used for all data, with different schemes (for example ASCII or UTF-8 for text, binary flags for control words). Endianness describes the ordering of bytes within multi-byte values. For numbers, negative values are commonly represented using two's complement binary, though other schemes like sign-magnitude exist.

Binärer also underpins digital circuit design and programming, where Boolean algebra and logic gates implement operations including AND, OR, NOT, and XOR. The concept remains central to data transmission, compression, and cryptography, making binärer a fundamental principle of information technology.