Please, I'm begging you to answer this correctly. T.T Thank you so much, and have a wonderful day <3

Error Detection & Correction. Solve the following problems below. Show your solutions 5 pts each.

1. Using the CRC polynomial 1101, compute the CRC code word for the information word, 11011001. Check the division performed at the receiver.

2. Suppose we are working with an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 7. We have already calculated that we need 4 check bits, and the length of all code words will be 11. Code words are created according to the Hamming algorithm presented in the text. We now receive the following code word: 1 0 1 0 1 0 1 0 1 1 0Assuming odd parity, is this a legal code word? If not, according to our error-correcting code, where is the error?

3. Perform a checksum for the data below. Check the process performed at the receiver

e = 11001010

i = 11101111