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) How many parity bits are necessary? ) Assuming we are using the Hamming algorithm -resented in this chapter to design our error-correcting ode, find the code word to represent the 10-bit information vord:

) How many parity bits are necessary? ) Assuming we are using the Hamming algorithm -resented in this chapter to design our error-correcting ode, find the code word to represent the 10-bit information vord:

Database System Concepts
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 we want an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 10. a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design our error-correcting code, find the code word to represent the 10-bit information word: 1001100110.
Transcribed Image Text:Suppose we want an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 10. a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design our error-correcting code, find the code word to represent the 10-bit information word: 1001100110.
Expert Solution
Step 1

(A). For memory words of length 10,

so by formula: 2^r >= m + r +1

as given m = 10 bits

so condition satisfies at r = 4, means;

4 parity bits are enough.

 

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