Section 1.1

• 12. a) You will get an A in this course if and only if you learn how to solve discrete mathematics problems. b) You will be informed if an donly if you read the newspaper every day. c) If rains if and only if it is a weekend day. d) You can see the wizard if and only if he is not in.
• 14. a) Converse: If I stay home, then it will snow tonight. Contrapositive: If I do not stay at home, then it will not snow tonight. b) Converse: Whenever I go to the beach, it is a sunny summer day. Contrapositive: Whenever I do not go to the beach, it is not a sunny summer day. c) Converse: If I sleep until noon, then I stayed up late. Contrapositive: If I do not sleep until noon, then I did not stay up late.
• 22. a) 11000 b) 01101 c) 11001 d) 11011
• 24. 0.4 for the first one, and 0.2 for the second one
• 28. Consistent, with only one truth value assignment to all propositions involved.