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A 1024-bit message is sent that contains 992 data bits and 32 CRC bits. CRC is computed
using the IEEE 802 standardized, 32-degree CRC polynomial. For each of the
following, explain whether the errors during message transmission will be detected by
the receiver:
(a) There was a single-bit error.
(b) There were two isolated bit errors.
(c) There were 18 isolated bit errors.
(d) There were 47 isolated bit errors.
(e) There was a 24-bit long burst error.
(f) There was a 35-bit long burst error.
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it shoud be a and f
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1 Answer

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  1. a.

    , Cyclic Redundancy Check (CRC) checksum detects all single bit errors during the data transmission of 1024 bit.

    • Single bit errors is detected by CRC method.

    o It produces 100 percentage of error detection.

  2. Step 3 of 7

    b.

    , Cyclic Redundancy Check (CRC) checksum detects all double bit errors during the data transmission of 1024 bit. That is, two isolated error bits for long messages.

    • Double bit errors are detected by CRC method.

    o It produces 100 percentage of error detection and creates the generating polynomial for at least three 1s.

  3. Step 4 of 7

    c.

    , Cyclic Redundancy Check (CRC) checksum does not detect all even bit errors during the data transmission of 1024 bit. That is, 18 bits of isolated errors for long messages.

    • Even number of bits in error is not detected by CRC method.

    o It produces the near of 100 percentage of error detection.

  4. Step 5 of 7

    d.

    , Cyclic Redundancy Check (CRC) checksum detects all odd bit errors during the data transmission of 1024 bit. That is, 47 bit of isolated errors for long messages.

    • Odd number of bits in error is detected by CRC method.

    o It produces the 100 percentage of error detection and also creates the generating polynomial for x + 1 factor.

  5. Step 6 of 7

    e.

    , Cyclic Redundancy Check (CRC) checksum detects all burst errors with the burst length of less than or equal to 32 degree during the data transmission of 1024 bit.

    • Length of error burst is less than r+1 (“r” represents the degree of generating polynomial) is detected by CRC method.

    o It produces the 100 percentage of error detection.

  6. Step 7 of 7

    f.

    , Cyclic Redundancy Check (CRC) checksum does not detect burst errors of burst length greater than 32 degree during the data transmission of 1024 bit.

    • Length of error burst is greater than or equal to r bits (“r” represents the degree of generating polynomial) is not detected by the CRC method.

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