For the following system with $4$ codewords of $10$ bits $(2$ data bits and $8$ check bits$),$ answer the following

questions and include explanations on how you get the results and what they mean:

$0000000000,0000011111,1111100000,$ and $1111111111$

a$.$ What is the Hamming Distance?

b$.$ What is the maximum number of errors that can be detected?

c$.$ What is the maximum number of errors that can be corrected?