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. (iii) G = From G above, identify the corresponding parity check matrix H. Then, find the syndromes for the received codewords: a. 1011001 b. 1001001 c. 1001101 For section (iii) explain which codeword has been received without error and how the syndrome can possibly show the location of bit in error. A (iv) 1000 1 1 0 0 1 0 0 1 0 1 00 1 0 0 1 1 0 0 0 1 1 1 1