This is a computer architecture problem. Please explain clearly, no cursive writing. 

A logic design has 4 inputs called A, B, C, and D. The logic design has one output called F. A and B are the inputs to a NOR gate N1. C and D are the inputs to a NOR gate called N2. The output of N1 and the output of N2 themselves are inputs to a third NOR gate called N3. F is the output of N3.

a) Give the truth table for this logic design showing A, B, C, D, and F

b) Which of the following logic expressions is equivalent to the logic design for this problem:
i) (A OR B) AND (C OR D), ii) (A AND B) OR (C AND D), iii) (A AND B) AND (C AND D)