Error Detection and Correction$**$

$1.$ Compute the Hamming pairwise distance for the following code words: $000000,010101,101010,110110.$

$-$ If these $24$ bits $($from the codewords$)$ were transmitted as data, calculate the parity bits needed to form a Hamming code.

$-$ Determine the number of bit errors that are detectable and correctable.