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Following 7 bit single error correcting hamming coded message is received.

Determine if the message is correct (assuming that at most 1 bit could be corrupted). If the message contains an error find the bit which is erroneous and gives correct message. 
Correct answer is 'Here Answer is yes.'. Can you explain this answer?
Verified Answer
Following 7 bit single error correcting hamming coded message is recei...
There is error in This message. Error is in bit 6.
How to calculate it ? First of all reverse given input to get it in correct position from 1 to 7.
0110001
Bit 1, Bit 2 & Bit 4 are partity bits.
Calculating position of error =>
c3 c2 c1
1 1 0
Here c1 = bit4⊕bit5⊕bit6⊕bit7=0⊕0⊕0⊕1=1 (Taking Even parity )
c2 = bit2⊕bit3⊕bit6⊕bit7=1⊕1⊕0⊕1=1
c3 = bit1⊕bit3⊕bit5⊕bit7=0⊕1⊕0⊕1=0
Hamming(7,4)
When you correct bit 6 .
You get message as 0110011.
IF you calculate C1,c2,c3 all will be 0 now !
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Following 7 bit single error correcting hamming coded message is received.Determine if the message is correct (assuming that at most 1 bit could be corrupted). If the message contains an error find the bit which is erroneous and gives correct message.Correct answer is 'Here Answer is yes.'. Can you explain this answer?
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