Chapter 1: Q38E (page 15)
Construct a truth table for
| p | q | r | s | |||
| T | T | T | T | T | T | T |
| T | T | T | F | T | T | F |
| T | T | F | T | T | F | T |
| T | T | F | F | T | F | T |
| T | F | T | T | F | T | T |
| T | F | T | F | F | T | F |
| T | F | F | T | F | T | T |
| T | F | F | F | F | T | F |
| F | T | T | T | T | T | T |
| F | T | T | F | T | T | F |
| F | T | F | T | T | F | T |
| F | T | F | F | T | F | T |
| F | F | T | T | T | T | T |
| F | F | T | F | T | T | F |
| F | F | F | T | T | F | T |
| F | F | F | F | T | F | T |
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You can graduate only if you have completed the requirements of your major and you do not owe money to the university and you do not have an overdue library book. Express your answer in terms of g: “You can graduate,” m: “You owe money to the university,” r: “You have completed the requirements of your major,” and b: “You have an overdue library book.”
Use De Morgan’s laws to find the negation of each of the following statements.
(a) Jan is rich and happy.
(b) Carlos will bicycle or run tomorrow.
(c) Mei walks or takes the bus to the class.
(d) Ibrahim is smart and hard working.
For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer.
a) Experience with C++ or Java is required.
b) Lunch includes soup or salad.
c) To enter the country you need a passport or a voter registration card.
d) Publish or perish.
What Boolean search would you use to look for Web pages about beaches in New Jersey? What if you wanted to find Web pages about beaches on the isle of Jersey (in the English Channel)?
When planning a party you want to know whom to invite. Among the people you would like to invite are three touchy friends.You know that if Jasmine attends, she will become unhappy if Samir is there, Samir will attend only if Kanti will be there, and Kanti will not attend unless Jasmine also does.Which combinations of these three friends can you invite so as not to make someone unhappy? Exercises relate to inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, and . Determine, if possible, what and are if they address you in the ways described. If you cannot determine what these two people are, can you draw any conclusions?
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