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this is Phil coppman and Ill be presenting a series of three related segments on the mechanics of cyclic redundancy check calculations the first part will be CRC division in that approach one computes your CRC using polynomial division over Gala field 2. the second approach will be using a CRC shift register which is a shift register that has polynomial based xor tabs the third part will be comparing the division with the shift register implementations to show why they end up doing exactly the same computation by different approaches this segment covers a CRC division example the idea of computing a CRC with polynomial division is to do a CRC result of the data word mod the CRC polynomial that means were going to perform division but were going to throw away the quotient and just look at the remainder the remainder is the CRC result to do this example lets use an 8-bit data word the data word can be any length for your CRC but well use 8 Bits to keep the example reasonable in this