5. This problem is related to single limited magnitude 1 error, where I can be +1 or -1. Assume the digits are over 27. (a) If the number of information digits, k, is 8 then what is the mini- mum number of check digits, r, required to do the error correction? (b) Find the parity check matrix H in systematic form. (c) If the given information word is 4222 1321, find the codeword. (d) If the first digit of the information word is changed from 4 to 3 (i.e., -1 error) show how error correction is done. 5. This problem is related to single limited magnitude 1 error, where I can be +1 or -1. Assume the digits are over 27. (a) If the number of information digits, k, is 8 then what is the mini- mum number of check digits, r, required to do the error correction? (b) Find the parity check matrix H in systematic form. (c) If the given information word is 4222 1321, find the codeword. (d) If the first digit of the information word is changed from 4 to 3 (i.e., -1 error) show how error correction is done