Consider the original $8-$bit message represented by $0$xE$5$ to be encoded using Hamming code. a$)(5$ points$)$ Determine the number of parity bits needed $$ and encode the message. Specify the generated code word in Hex. b$)(5$ points$)$ Assume bit $2($i$.$e$.$ B$2)$ is flipped to simulate a single bit error. Show syndrome calculations.