The first two pixels of the following grayscale image have been received with error by the

user. The user knows that each pixel has been transmitted using a binary codification with

check bits derived from Hamming Code with distance $3.$ It is also known that each pixel is

codified from $0($totally black$)$ and $255($totally white$)$ and there is only one error bit in each

pixel. The received codeword $($in a stored format$)$ are:

$($i$)111100100101$

$($ii$)100101010011$

Answer the following questions:

$($a$)$ How many bits are necessary to codify each pixel? $(2$ marks$)$

$($b$)$ How many check bits are necessary to implement the Hamming Code? $(5$ marks$)$

$($c$)$ What are the values of each received pixel? $(6$ marks$)$

$($d$)$ What are the correct values of each transmitted pixel?