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To compute an n-bit binary CRC, line the bits representing the input in a row, and position the (n + 1)-bit pattern representing the CRC's divisor (called a "polynomial") underneath the left end of the row. In this example, we shall encode 14 bits of message with a 3-bit CRC, with a polynomial x 3 + x + 1.
Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item; ... CRC with length appended CRC-8: 8 bits CRC: CRC-16: 16 bits ...
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Function CRC32 Input: data: Bytes // Array of bytes Output: crc32: UInt32 // 32-bit unsigned CRC-32 value // Initialize CRC-32 to starting value crc32 ← 0xFFFFFFFF for each byte in data do nLookupIndex ← (crc32 xor byte) and 0xFF crc32 ← (crc32 shr 8) xor CRCTable[nLookupIndex] // CRCTable is an array of 256 32-bit constants
CRC Handbook of Chemistry and Physics, a science reference handbook published by CRC Press; CRC Standard Mathematical Tables, a mathematics reference handbook published by CRC Press; Cyclic redundancy check, a type of hash function used to produce a checksum in order to detect errors in data storage or transmission
Both ends must preset their division circuitry to all-ones, the transmitter must add the trailing inversion pattern to the result, and the receiver must expect this pattern when checking the CRC. If the receiver checks the CRC by full-length division, the remainder because the CRC of a full codeword that already includes a CRC is no longer zero.
A CRC has properties that make it well suited for detecting burst errors. CRCs are particularly easy to implement in hardware and are therefore commonly used in computer networks and storage devices such as hard disk drives. The parity bit can be seen as a special-case 1-bit CRC.
MCL: Model Checking Language; Alternation-Free Modal μ-calculus extended with user-friendly regular expressions and value-passing constructs; subsumes CTL and LTL. mCRL2 mu-calculus: Kozen's propositional modal μ-calculus (excluding atomic propositions), extended with: data-depended processes, quantification over data types, multi-actions ...