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Exercise: Logical operators

Exercise: Logical operators. Boolean search statements and Venn diagrams. Directions. Slide 4 provides a Venn diagram with numbered sets and a number of search statements for each statement shade the appropriate set or sets e.g. for (A OR B) AND C the sets are 4, 5, 6

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Exercise: Logical operators

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  1. Exercise: Logical operators Boolean search statements and Venn diagrams Tefko Saracevic, Rutgers University

  2. Directions • Slide 4 provides a Venn diagram with numbered sets and a number of search statements • for each statement shade the appropriate set or sets • e.g. for (A OR B) AND C the sets are 4, 5, 6 • Slide 5 is for practice • Slide 6 has the answers • BUT NOTE: one of the answers is WRONG! Which one? Tefko Saracevic, Rutgers University

  3. Order of operations • Rules for the order in which operations are done effect the answer - so follow them • Dialog order of operation is: 1. First are done all operations that are in parentheses, then: 2. (W), (N), (S), (L), or (F) 3. NOT 4. AND 5. OR • e.g. for A OR B AND C, first is done B AND C, and then A OR the results of B AND C, thus this is the same as A OR (B AND C) Tefko Saracevic, Rutgers University

  4. 1 A 2 3 B 5 4 6 7 C Venn diagrams 1. A AND B 2. A OR B 3. A OR B AND C 4. (A OR B) AND C 5. A AND B NOT C 6. A AND (B NOT C) 7. (A AND B) NOT C 8. (A NOT B) AND C 9. A NOT (B AND C) 10. A NOT B AND C 11. A AND (B OR C) 12. A AND B OR C 13. A OR (B AND C) 14. A OR B OR C 15 A AND B AND C Tefko Saracevic, Rutgers University

  5. A B 2 3 1 5 4 6 7 C Tefko Saracevic, Rutgers University

  6. 1 A 2 3 B 5 4 6 7 C Venn diagrams: solutions p.s. one of them is wrong! 1. A AND B 2,5 2. A OR B 1,2,3,4,5,6 3. A OR B AND C 1,2,4,5,6 4. (A OR B) AND C 4,5,6 5. A AND B NOT C 2 6. A AND (B NOT C) 2 7. (A AND B) NOT C 2 8. (A NOT B) AND C 4 9. A NOT (B AND C) 6 10. A NOT B AND C 4 11. A AND (B OR C) 2,4,5 12. A AND B OR C 2,4,5,6,7 13. A OR (B AND C) 1,2,4,5,6 14. A OR B OR C 1,2,3,4,5,6,7 15 A AND B AND C 5 Tefko Saracevic, Rutgers University

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