rror p=0.01. Assume errors are independent. ompute the probability of error in a 4-bit word one or more errors in 4 bits) ssume you use an error correcting code which co the 4-bit word so that it is possible to correc - the 7-bit word, compute the probability of err

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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Consider a binary communication channel with probability of
bit error p=0.01. Assume errors are independent.
1) Compute the probability of error in a 4-bit word, i.e.,
P(one or more errors in 4 bits)
2) Assume you use an error correcting code which adds 3 parity
bits to the 4-bit word so that it is possible to correct 1-bit errors
from the 7-bit word, compute the probability of error with the
error correcting code added.
Transcribed Image Text:Consider a binary communication channel with probability of bit error p=0.01. Assume errors are independent. 1) Compute the probability of error in a 4-bit word, i.e., P(one or more errors in 4 bits) 2) Assume you use an error correcting code which adds 3 parity bits to the 4-bit word so that it is possible to correct 1-bit errors from the 7-bit word, compute the probability of error with the error correcting code added.
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