Convert the binary number 111010101.110111 to hexadecimal. Determine the power set of the set A={q,p,x}. Let the relation R be {(1,2), (2,9), (5,6)}. Is R transitive? Give the reason. Let’s consider a propositional language where pmeans “Muna is happy”, q means “Muna paints a picture”, r means “Majid is happy”. Formalize the following sentences (write them using symbols) “if Muna is not happy and paints a picture then Majid is happy” “if Majid is happy, then Muna 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 13E: 13. Consider the set of all nonempty subsets of . Determine whether the given relation on is...
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QUESTION 4

    1. Convert the binary number 111010101.110111 to hexadecimal.
    2. Determine the power set of the set A={q,p,x}.
    3. Let the relation R be {(1,2), (2,9), (5,6)}. Is R transitive? Give the reason.
    4. Let’s consider a propositional language where pmeans “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 not happy and paints a picture then Majid is happy”
  2. “if Majid is happy, then Muna paints a picture”

 

 

 

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