a) Show (by giving an example other than the one provided in the lecture) that two-dimensional parity checks can correct and detect a single bit error. [5 marks] b) Show an example of a 2-bit error that can be detected and corrected. [5 marks] c) Provide an example to demonstrate that in general 2-bit errors can be detected but not corrected. [5 marks] d) Suppose that a packet has a size of 1250 bytes. Assuming that the parity bits are included within the packet size, what is the smallest number of parity bits that need to be used to provide two-dimensional parity checking? [5 marks]