Assume bit errors are mutually independent and identically distributed, each occurring with positive probability P <<1.
a. Find the even parity bit of the eight-bit message 01101001.
b. Derive the probability of error detection of an arbitrary m-bit message using 1 bit parity, where m is even.
c. Find the two-bit checksum of message 01101001 by simple XOR summation of consecutive two-bit message components.
d. Derive the probability of error detection of an arbitrary 2m-bit message using two- bit checksum of (c). You can apply the answer to (b).
e. Find the CRC of the message 01101001 if the (XOR) generator is 101.