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What is the hamming code for the data: 1001101?

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What is the hamming code for the data: 1001101?

(a) 10011100101

(b) 11010000101

(c) 10001100101

(d) 11111001011

This question was addressed to me during an interview for a job.

This key question is from Layers topic in portion Cryptography Overview, TCP/IP and Communication Networks of Cryptograph & Network Security

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The correct choice is (a) 10011100101

To elaborate: Find the 1st 2nd 4th and 8th bits using the hamming algorithm and thus proceed to get the hamming code.

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