Part A

Given the following data bits that need to be transmitted: $01111100$

Using Hamming code, determining the positions and values of the parity bits $(\backslash ($ p $1,\backslash$mathrm$\{$p$\}2,\backslash$mathrm$\{$p$\}4,\backslash$mathrm$\{$p$\}8,\backslash$mathrm$\{$p$\}16,\backslash$mathrm$\{$p$\}32,\backslash$mathrm$\{$p$\}64\backslash ))$ 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: $001000110010$

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