ISRO Electronics & Communication (ECE) 2010 - Question 68

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Topic: Electronics Engineering

Consider a single error correcting (7, 4) cyclic code with generator matrix $g(x)=x^{3}+x^{2}+1$ What will be the transmitted data if received vector is 1101101?

  • A. 1100
  • B. 1010
  • C. 0001
  • D. 1110

Answer: A. 1100

Explanation: Generator matrix $= x^{3}+x^{2}+1 = (1101)$. Message is passed through CRC polynomial division to correct the error and get the original data.

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