Part A

Given the following data bits that need to be transmitted: $11001011$

Using Hamming code, determining the positions and values of the parity bits $($p$1,$ p$2,$ p$4,$ p$8,$ p$16,$ p$32,$ p$64)$ needed to protect this data

Fill in the coverage matrix below to show this:

Show your final encoded data with both data and parity bits:

Part B

The final encoded data received was: $111110010001$

Using the check bits matrix below, determine if there are any errors:

If an error exists:

$-$ Identify which bit is in error

$-$ Show how you calculated this

$-$ Correct the error

Extract and show the original data bits after error correction