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    Cyclic Redundancy Checks

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    Cyclic Redundancy Checks (CRC) can provide strong capabilities to
    digest a message in such form that if bits in the message have become corrupted
    during transmission, then the receiver will be able to detect the damage and discard
    the message.
    Assume a generator polynomial of X4 + X3 + 1. A receiver encounters the following
    message: 11010101010. Use CRC computation to decide whether the receiver should
    keep or discard this message. Show your computation

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    Solution Preview

    A generator polynomial of X4 + X3 + 1 corresponds to the binary number:

    1 1 0 0 1 = 25 (decimal)

    Since there are 5 bits in the code, ...

    Solution Summary

    Cyclic Redundancy Checks' purposes are noted.