# CAPE Applied Mathematics Unit II Boolean Algebra Revision Test

May 29th, 2015
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1. a. construct the truth table for the proposition a=>b

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CAPE Applied Mathematics Unit IIBoolean Algebra Revision TestPaper II Structured QuestionsTime: 1 h1. 23. Total 20 marksMultiple Choice Sample Items1. Which pair of statements is logically equivalent?a. A conditional and the converseb. A contrapositive and the conditionalc. An inverse and the contrapositived. A conditional and the inverse2. What is the proposition a b equal to?a. (a b) ( b a) b. ( a b) ( b a)c. (a b) (b a)d. ( a b) ( b a)3. Which Boolean expression gives the following result?a. a ab. a bc. a ad. b a 4. The contrapositive of a statement is: If he did not wear an overcoat, then it did not rain. What is the inverse of the conditional statement?a. If it rains, then he will wear an overcoatb. If he is wearing an overcoat, then it is rainingc. If it raining, then he is not wearing an overcoatd. If it does not rain, then he will not wear an overcoat5. The proposition p p is a tautology on the basis of which Boolean Law?a. Idempotentb. Complementc. Identityd. Absorption6. Which of the following laws has NOT been used to simplify the Boolean expression below?a. Distributiveb. Complementc. Idempotentd. Identity7. Which pair of Boolean Laws is used to prove that p (p q) = p? a. Distributive and Complements lawsb. Commutative

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