Suppose we are working with an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 7. We have already calculated that we need 4 check bits, and the length of all code words will be 11. Code words are created according to the Hamming Algorithm presented in the our class. We now receive the following code word: 1 0 1 0 1 0 1 1 1 1 0 Assuming even parity, is this a legal code word? If not, according to our error-correcting code, where is the error? Show work     No it is illegal code word  - bit 6 is in error   Yes it is legal code word and there is no error   No it is illegal code word - bit 5 is in error   No it is illegal code word  - bit 3 is in error

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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Suppose we are working with an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 7. We have already calculated that we need 4 check bits, and the length of all code words will be 11. Code words are created according to the Hamming Algorithm presented in the our class. We now receive the following code word:
1 0 1 0 1 0 1 1 1 1 0

Assuming even parity, is this a legal code word? If not, according to our error-correcting code, where is the error?

Show work

 
 

No it is illegal code word  - bit 6 is in error

 

Yes it is legal code word and there is no error

 

No it is illegal code word - bit 5 is in error

 

No it is illegal code word  - bit 3 is in error

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