[1 1 0 1 0 0 01 01 1 010Calculate the 7-bit 1110 01 101 0 0 0 1 (i) Consider a (7,4)-Hamming code with the following generator matrix G = codeword row vector (c) that we must transmit for each 4-bit information row vector (m) if In =[1 1 1 0] and mi =[0 1 1 1] (ii) Consider a (7,4)-Hamming code with the following parity check matrix: 1 0 0 1 0 1 1 H = | 0 1 0 1 1 1 0 . Assume that we have a 7-bit codeword (c) corresponding to a 4-bit message vector (m). The transmitter transmits c but the receiver receives the 7-bit codeword r. Calculate the syndrome vector is s=rII' if r=[1 1 1 1 0 0 0]. From this obtain the error vector in Table i, and finally the decoded message vector at the receiver (m) Is this (m) the same as the original transmitted 4-bit message vector (m)? Syndrome s =[so sis2] Error pattern e-Ieoa 6] 1 0 0 0 1 0 0 0 0 0 0 010 0 00 0 001 0 0 0 0 0 0 0 100 0 0 1 0 000 001