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

Tefko Saracevic, Rutgers University 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

Tefko Saracevic, Rutgers University 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

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

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

Venn diagrams: solutions p.s. one of them is wrong! 1 2 3 4 5 6 7 A B C 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