Boolean or \"truth-valued\" expressions are how we express conditions that contr

Question

Boolean or "truth-valued" expressions are how we express conditions that control choices and repetition in computer languages. Consider the following Python Boolean expression, where variables alpha, beta, and gamma are of type Boolean: alpha or (beta and gamma) In any algebraic notation there are usually several different ways of writing the same expression. For instance, in integer arithmetic the value of expression '4 x (5 + 2) is numerically equivalent to that of expression (4x5)+(4x 2). Which of the following Boolean expressions is logically equivalent to the one above? O (alpha and beta and gamma) O (alpha or beta) and gamma not (not alpha) O (alpha and beta) or (alpha and gamma) O(not alpha) and (not beta) or (not gamma) O (alpha orbeta) and (alpha or gamma)

Explanation / Answer

Answer: Last option

(alpha or beta) and (alpha or gamma)

Explanation:

In boolean algebra, using distributive law a . (b + c) = (a.b) + (a.c). Similarly in above expression, assume 'or' as '.' and 'and' as '+'.

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