Question: 5. (, 24 pts) 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

5. (, 24 pts) You and a friend are using the C(7,4) Hamming code to send some 4-bit messages to each other.

  1. (a)You encode the message 0011 and send the encoded 7-bit sequence to your friend, who receives 1010101. How many errors were introduced during transmission?
  2. (b)You subsequently receive the encoded sequence 1011011 from your friend. Assuming at most one error, what is the 4-bit message that your friend sent?

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