Gray Code
Gray code is a binary numeral system where two successive values differ in only one bit, minimizing errors in digital communication and hardware transitions. It is used in applications like rotary encoders, error correction, and analog-to-digital converters to prevent ambiguous states during value changes. The concept is named after Frank Gray, who patented it in 1953.
Developers should learn Gray code when working on hardware interfaces, digital signal processing, or low-level programming where bit-level precision is critical, such as in embedded systems or robotics. It is essential for designing reliable encoders, reducing errors in data transmission, and optimizing algorithms like the Traveling Salesman Problem through Gray code sequences.