Question: A second cyclic form of the ( 7 , 4 ) Hamming code uses the generator polynomial g ( x ) = 1 + x

A second cyclic form of the (7,4) Hamming code uses the generator polynomial g(x)=1+ x2+ x3.
a. If the message word is 1101, compute the codeword. Show all steps. (10)
b. Let the fourth-bit of your codeword in part 4(a) be in error when it is received. What is
the syndrome? Show all steps in deriving the syndrome. (10)

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