Consider the Hamming (7,4) code. (a) Encode the message word (0, 1, 1, 1). (b) Consider the following words. In each case, determine whether the word is a valid code word. If not, assume it contains a 1-bit error, and correct it to find the original code word. (i) (1, 1, 1, 0, 0, 0,0) (ii) (0, 1, 0, 0, 0, 1,0)