Question: a) How many possible combinations of A, B and C are there? [7 Marks] b) In which of those combinations X is TRUE? [7

a) How many possible combinations of A, B and C are there? [7 Marks] b) In which of those combinations X is For the following Boolean circuit: B B A+B B+C x = (A + B)(B+C) Where its equivalent Boolean Expression is X

a) How many possible combinations of A, B and C are there? [7 Marks] b) In which of those combinations X is TRUE? [7 Marks] c) Let A: It is cloudy, B: pressure is high, and C: temperature is Low. X is either rain or not. Assume that the expression given for X predicts rain (TRUE). Also assume that when there are clouds A is TRUE, when the pressure is high B is TRUE, and when the temperature is low C is also TRUE. If its cloudy, the pressure is low, and the temperature is high. Will it rain? [6 Marks] For the following Boolean circuit: B B A+B B+C x = (A + B)(B+C) Where its equivalent Boolean Expression is X= (A + B)(B+C), or equivalently to what was explained in the lectures: X = (A OR B) AND (NOT B OR C)

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