(Solved): Question 3: (35 Points - Optional Question) a) Write the truth table for the three-input XOR (exclus ...

Question 3: (35 Points - Optional Question) a) Write the truth table for the three-input XOR (exclusive OR) logic function with inputs ( \( x, y, z \) ). b) Using the Karnaugh map method, derive the simplified logic function in the "sum of products" (SOP) form for the three-input XOR function, then draw the corresponding logic circuit. c) Design a logic circuit for the three-input XOR function using the minimum number possible of two-input NOR gates only.