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Q4. In this question Hamming code as a forward error correction code is investigated. (i) In order to have a dataword of at least 12 bits, calculate values of dataword (k) and codeword (n) that satisfy this requirement. (ii) Use the following generator matrix G to encode the 4-digit dataword of 1001. G=1000010000100001110110110111 (iii) From G above, identify the corresponding parity check matrix H. Then, find the syndromes for the received codewords: a. 1011001 b. 1001001 c. 1001101 (iv) For section (iii) explain which codeword has been received without error and how the syndrome can possibly show the location of bit in error