8. If A, B, and C are Boolean variables, which of the following is (are) true? I. Ал (BvC)3 (Ал В) v (А лС) П. A v (ВлС) 3D (A v B) л (Av C) Ш. (А л В) v С%DCv (ВлА)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question 8: Boolean Algebra**

If \( A \), \( B \), and \( C \) are Boolean variables, which of the following is (are) true?

I. \( A \land (B \lor C) = (A \land B) \lor (A \land C) \)

II. \( A \lor (B \land C) = (A \lor B) \land (A \lor C) \)

III. \( (A \land B) \lor C = C \lor (B \land A) \)
Transcribed Image Text:**Question 8: Boolean Algebra** If \( A \), \( B \), and \( C \) are Boolean variables, which of the following is (are) true? I. \( A \land (B \lor C) = (A \land B) \lor (A \land C) \) II. \( A \lor (B \land C) = (A \lor B) \land (A \lor C) \) III. \( (A \land B) \lor C = C \lor (B \land A) \)
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