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    Single parity bit & Two-dimensional parity checksum schemes

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    Suppose that the information content of a packet is the bit pattern 1111000010100101 and an even parity is being used

    [a] What would be the checksum field in a single parity bit scheme?

    [b] What would be the value of the checksum field for the case of a two-dimensional parity scheme? Your answer should be such that a minimum-length checksum is used.

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    Solution Preview

    Even parity for a bit sequence (single row/column) is achieved when number of 1 bits in "the bit sequence and the parity bit" is even. Which means --

    * if number of 1 bits in bit sequence is even, parity bit will be set to 0, and
    * if number of 1 bits in bit sequence is odd, parity bit will be set to 1.

    [a] ...

    Solution Summary

    Solution also explains the meaning of "even parity" for a bit sequence.