The message $11001001$ is to be transmitted using the CRC polynomial $x^3 +1$ to protect it from errors. The message that should be transmitted is:
$11001001000$
$11001001011$
$11001010$
$110010010011$
CRC Calculation
Answer - B. Degree of generator polynomial is $3$ hence $3-bits$ are appended before performing division After performing division using $2$'$s$ complement arithmetic remainder is $011$ The remainder is appended to original data bits and we get $M' = 11001001\bf{011}$ from $M = 11001001.$
Courtesy, Anurag Pandey
m + r + 1 < 2^{r}
messege, m = 8 bits
8 + 1 + 1 > 2^{1}
8 + 2 + 1 > 2^{2}
8 + 3 + 1 > 2^{3}
8 + 4 + 1 < 2^{4}
Hence r = 4
then sending mesg is 8 + 4 = 12 bits
ANS : d
Gatecse