Consider the following generator matrix for a (7,4) linear block code: 011 101 0 0 0 1 0 0 1 1 G= 0001110 1 011000 a. Express G in a systematic form. Hint: you need to swap rows and or perform rows addition (add two or more rows) until you get an I matrix. b. List all valid code-words that could be generated by this code. c. How many errors this code can detect, and at how many error locations? d. How many errors this code can detect and correct? Implement the syndrome table.