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In: Advanced Math

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

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

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

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

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