Exercise 2.34 (Monotone Functions). Let be given f(x1, x2, x3, x4) such that f(0, 1, 1, 0)

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Exercise 2.34 (Monotone Functions). Let be given f(x1, x2, x3, x4) such that f(0, 1, 1, 0) = 1, f(1, 1, 0, 0) = 1, f(1, 0, 1, 0) = 0, f(0, 0, 1, 1) = 1, f(0, 1, 0, 1) = 0.

1 Can this definition be used to build monotone functions with these values?

2 How many different monotone functions with these values can be built?

3 Represent these functions by disjunctive forms without negated variables.

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