a) How many different Boolean functions of N variables are there? b) A three-input OR-AND-INVERT (OAI) gate is shown below. Complete the truth table for it. Doar c) Write a truth table for the function performed by the gate below. The truth table should have two inputs, A and B. What is the name of this function? ABC C A A B B IB ABT d) Sketch a transistor-level circuit for a 2-input OR gate. 2. a) Write a Boolean equation in sum-of-products canonical form for the truth table: b) Minimize the equation using Boolean Agebra. c) Draw the gate-level diagram for this equation. A 0 0 DODHELL 0 1 1 BTOLETOOL 1 0 0 1 0 1 0 0 1 1 1 COHOTOTOL 0 1 0 1 0 1 Y 1 OH 0 1 0 1 1 0 1