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CRC problem with generating feedback value

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Zerox100

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Dear all,
I know all of you see CRC circuit. But i have a problem. I have two circuit that is a bit diffrent and i don't know what is "explicitly and exactly" CRC.
I think one of them is true and another is not true CRC. The Exact diffrence between its is "how generate of feedback value". Feedback value in this circuit is x^5. i searched the internet and ieee. But i saw a lot of circuit some use first circuit and some others use second circuit. I wrote a vhdl model of both circuit and simulate it. i got diffrent answers. I confused ....
 

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