C.1) The 3 input EXOR function can be implemented using 2-input EXOR functions using either of the identities: ( ABC) = (AB) C) or ( ABC) = (A (BC)). Using this information, derive a truth table for X = (A BOC). Show the steps used to derive the final truth table based on one of the identities. C-2) Parity. a) Give a truth table for a parity generator function for a 3-bit data word: D2, D1, DO. Assume even-parity and label the output P. b) Draw a circuit diagram for the parity generator circuit using a multi-input EXOR gate. Hint: compare your truth-table for this problem with the one in problem C.1. c) Draw circuit diagram using multi-input EXOR gates that shows how to construct the parity bits for a hamming code word generator for 4-bit data word: D3, D2, D1, DO. Label the parity bits P1, P2 and P4. (Note that D3, D2, D1 and Do will end up in different positions in the final code word, but you don't need to show that for this problem.)