Graykodiert

Graykodiert is a term that refers to Gray coding, also known as reflected binary code. It is a binary numeral system where two successive values differ in only one bit. This characteristic makes it useful in applications where errors can occur during transitions between states, such as in rotary encoders or digital-to-analog converters.

The Gray code sequence is constructed by reflecting the previous sequence and prepending a 0 to the original sequence and a 1 to the reflected sequence. For example, the 2-bit Gray code sequence is 00, 01, 11, 10. Notice how each successive code differs from the previous one by only a single bit change.

In practice, Gray coding helps to prevent spurious outputs or incorrect readings. If a mechanical switch or sensor is between two states, a standard binary code might momentarily represent an intermediate, incorrect value if multiple bits change simultaneously. Gray code avoids this by ensuring only one bit flips at a time, guaranteeing that the system will always be in a valid code state, even during transitions.

Applications of Gray coding include error detection and correction in digital communication, position sensing in control systems, and in Karnaugh maps for simplifying Boolean algebra expressions. Its primary advantage lies in its ability to minimize bit errors in situations where signal integrity might be compromised.