what is the data byte encoded in binary Hamming code?

Question

the problem I am presented with is a binary hamming code shown below:

011101000100, what was the data byte encoded and sent from this hamming code?

and the solution is 10101100, could someone explain to me how to approach this problem?

Answer 1

You will need to calculate the parity bits of data, as follows: $\dot0\dot11\dot1010\dot00100$

p1(0)(10000) 1 error because number of 1s is odd
p2(1)(11010) 
p4(0)(0100)
p8(0)(0100) 1 error
1 + 8 = 9, this is the bit where you have the error

now we replace the 0 in the 9th bit with 1, and after you take out the parity bits, you are then left with $10101100$