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Sixteen-bit messages are transmitted using a Hamming code. How many check bits are needed to ensure that the receiver can detect and correct single-bit errors? Show the bit pattern transmitted for the message 1101001100110101. Assume that even parity is used in the Hamming code.

My Solution:- 

But Correct answer is :-  011110110011001110101

I don't know what i am doing wrong ?

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I think it will help you i think after this all your doubt must be clear..if you have any doubt then ask??

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