![]() However, binary long division uses binary subtraction and “CRC long division” uses XOR operation. ![]() The polynomial coefficients are calculated according to the finite-field arithmetic as the binary long division. message binary is right padded with the bit length minus one of the CRC polynomial minus one -1) as the “dividend”, and the “remainder” becomes the result of CRC bits. The CRC code requires definition of a so-called “generator polynomial” as the “divisor”.Īnd takes the message binary-shifted to left and extend the bit length with the divisor bit length minus one -1 (a.k.a. CRC is an error-detecting code is based on binary / polynomial “division”, and the sequence of redundant bits is appended to the end of a data unit so that the resulting data unit becomes exactly divisible (remainder=0) by a second predetermined binary number.
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