Assignment:
Let B = {0, 1} be a Boolean algebra and let f: B3 --> B be the Boolean function such that f(0, 0, 0) = f(1, 0, 0) = f(0, 0, 1) = 1 and f(x, y, z) = 0 for all other (x, y, z) in B3.
a) Write f in disjunctive normal form and in conjunctive normal form.
b) Give the truth table of f? (the complement of f).
c) Give f in disjunctive normal form and in conjunctive normal form.
Provide complete and step by step solution for the question and show calculations and use formulas.