Referring to the CRC-32 polynomial in Table 10.4, answer the following questions:

Table 10.4

a. Does it detect a single error? Defend your answer.
b. Does it detect a burst error of size 16? Defend your answer.
c. What is the probability of detecting a burst error of size 33?
d. What is the probability of detecting a burst error of size 55?

Polynomial Name Used in CRC-8 x +x+x +1 100000111 ATM header +x + x +x*+ x+1 CRC-10 ATM AAL HDLC 11000110101 +x +1 x16 +x12 CRC-16 |10001000000100001 CRC-32 +x2 +x!'+x10 +x* +x' +r +x* +x +x + 1LANS 32 26 +x 22 16 +x- +x +x' 23 100000100110000010001110110110111