You and a friend are using the C(7,4) Hamming code to send some 4-bit messages to...

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You and a friend are using the C(7,4) Hamming code to sendsome 4-bit messages to each other.

(a) You encode the message 1010 and send the encoded 7-bitsequence to your friend, who receives 1011011. How many errors wereintroduced during transmission?

(b) You subsequently receive the encoded sequence 0111011 fromyour friend. Assuming at most one error, what is the 4-bit messagethat your friend sent?

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