Question $4(20\%)$

$($a$)$

A piece of data, $111011102,$ is to be read into memory with the use of Hamming code at the same time.

Calculate the codeword stored in memory. Express the codeword in binary representation. Use the format adopted in Lecture $7.$

$(10$ marks$)$

$($b$)$

Suppose now you receive the following codeword:

$.1001001001112$

Given there is one bit error. Determine the error bit position and express the original, correct data in binary representation.