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All the well-known CRC generator polynomials of degree have two common hexadecimal representations. In both cases, the coefficient of x n {\displaystyle x^{n}} is omitted and understood to be 1. The msbit-first representation is a hexadecimal number with n {\displaystyle n} bits, the least significant bit of which is always 1.
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.
One of the most commonly encountered CRC polynomials is known as CRC-32, used by (among others) Ethernet, FDDI, ZIP and other archive formats, and PNG image format. Its polynomial can be written msbit-first as 0x04C11DB7, or lsbit-first as 0xEDB88320.
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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
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