5. Suppose we are working with an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 12. a) How long should the check bits and why? b) Code words are created according to the Hamming Algorithm presented in the text. We now receive the following code word: 01100 101001101001 Assuming even parity, is this a legal code word? If not, according to our error-correcting code, where is the error