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Authors:
Linda Null ,julia Lobur
Chapter:
Data Representation In Computer Systems
Exercise:
Exercises
Question:41 | ISBN:9780763704445 | Edition: 3

Question

41. Using the CRC polynomial 1011, compute the CRC code word for the information word, 1011001. Check the division performed at the receiver.

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Answer

Procedure : 
    -> Given information, bits are 1011001 which will be called "I" and this will be dividend
    -> Given polynomial which is 1011 which will be called "P" and this will be a divisor
    -> Shift the I bit' towards left one less than the length of the divisor (4-1 -3) then the I bits will be 1011001000

    -> No lets apply modulo -2 division (0+0=0,0+1=1,1+0=1,1+1=0) considering P= 1011 and I= 1011001000

now the I bit will be 1011001000+011 = 1011001011(after adding the reminder to the information bits )

from the receiver, side to cross-check we will get I = 1011001011 and P= 1011, after performing division if we get the remainder is zero we conclude that the information did not tamper

 

 

 

 

 

 

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