I need help thank you! (Discrete math)

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Discrete math

(01) This problem concerns the (7,4) Hamming code discussed in the lectures. Using the diagram to encode and decode strings, show your work clearly in the following. a) If the message is 1001, what codeword should be sent? b) If the string 0001110 is received and at most one bit was ipped, what was the original message