Suppose host A has payload 1011 0110 1010 1011 to send to host B, and A wants to use two-dimensional checksum for host B to detect and correct any 1-bit error should it occur during the transmission. Host A further wants to minimize the length of the checksum to save the bandwidth of the communication channel. What would the value of the checksum field be if an even parity scheme is used? Show all your work and prove why the checksum you have worked out is the shortest, and further prove that any one-bit error can be detected and corrected.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Suppose host A has payload 1011 0110 1010 1011 to send to host B, and A wants to use
two-dimensional checksum for host B to detect and correct any 1-bit error should it occur during the
transmission. Host A further wants to minimize the length of the checksum to save the bandwidth of the
communication channel. What would the value of the checksum field be if an even parity scheme is used?
Show all your work and prove why the checksum you have worked out is the shortest, and further prove
that any one-bit error can be detected and corrected.  

 

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