Question

If a received Hamming code word is 1101010, is there an error and, if so, where?

Answer 1

Received hamming code is 1101010

received hamming code should contain noise

parity bits can be formed by 2ⁿ {n can be 0,1.......n

for a 7 bit

parity bit will be

1,2,4

remaining bits are data bits

3,5,6,7

consider,

your hamming code

D₇  D6 D₅ D3

1 1 0 1 0 1 0

P₄ P₂ P₁

By hamming rule,

to check even parity,

P₁ -> D₃ D₅ D₇

P₂ -> D₃ D₆ D₇

P₄ -> D₅ D₆ D₇

P_{1 ->} 0 0 1

It is odd value but your hamming code p1 is 0 (i.e it is even),so there is an error in you hamming code.