Solving Boolean Algebra Equations
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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.
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The solution solves Boolean algebra equations.
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