Consider a data link layer using a $7-$bit Hamming code for

error detection and correction. A transmitted codeword is

After receiving the codeword, the receiver detects

that there is an error.

a$)$ What is the purpose of using a Hamming code in the link

layer?

b$)$ Identify the position of the error in the received codeword

using the Hamming code mechanism.

c$)$ Correct the error and provide the correct codeword.