1. The followings are 12 -bit words read from the memory. Suppose when the words were sent to the memory, the check bits are calculated to be 00000 . Using Hamming error correction code, find the new check bit, the syndrome word and the original word stored in the memory for each of the words given below. a. 001101011010 (12 marks) b. 010100111001 (12 marks)