Understanding Cyclic Redundancy Check (CRC): Error Detection in Digital Systems
CRC (Cyclic Redundancy Check) A Cyclic Redundancy Check (CRC) is an error-detecting code commonly used in digital networks and storage devices to detect accidental changes to raw data. It’s a type of checksum algorithm that uses polynomial division to generate a short, fixed-length binary sequence, called the CRC value or CRC code , based on the contents of a data block. How CRC Works 1. Data Representation The data to be transmitted is treated as a binary number (a long string of bits). 2. Polynomial Division A predefined generator polynomial (also represented as a binary number) is used to divide the data. The remainder of this division is the CRC value. 3. Appending CRC The CRC value is appended to the original data before transmission. 4. Verification At the receiving end, the same polynomial division is performed. If the remainder is zero, the data is assumed to be intact; otherwise, an error is detected. Example (Simplified) Let’s say: Data: 11010011101100 Generator Polynom...