A. Convert the binary number 1010101101001.1110 to hexadecimal. B. Determine the power set of the set A={2,8,10}. C. Let the relation R be {(1,5), (5,9), (8,1)}. Is R transitive? Give the reason. D. Let's consider a propositional language where p means "Muna is happy", q means "Muna paints a picture", r means "Majid is happy". Formalize the following sentences (write them using symbols) 1. "if Muna is happy and does not paint a picture then Majid is happy" 2. "if Muna is not happy, then she paints a picture"
A. Convert the binary number 1010101101001.1110 to hexadecimal. B. Determine the power set of the set A={2,8,10}. C. Let the relation R be {(1,5), (5,9), (8,1)}. Is R transitive? Give the reason. D. Let's consider a propositional language where p means "Muna is happy", q means "Muna paints a picture", r means "Majid is happy". Formalize the following sentences (write them using symbols) 1. "if Muna is happy and does not paint a picture then Majid is happy" 2. "if Muna is not happy, then she paints a picture"
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 15E: Let A=R0, the set of all nonzero real numbers, and consider the following relations on AA. Decide in...
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