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# Lecture 02

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Discrete Mathematics

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### Lecture 02

1. 1. Truth Table
2. 2. Truth Table for ~p^q - 2
3. 3. Truth Table for ~p^q – 2a
4. 4. Truth Table for ~p^q – 2b
5. 5. Truth Table for ~p^q – 2c
6. 6. ~p ^ (q v~ r) – (2 - 3a)
7. 7. ~p ^ (q v~ r) – 2 - 3b
8. 8. ~p ^ (q v~ r) – 2 - 3c
9. 9. ~p ^ (q v~ r) – 2 - 3d
10. 10. Truth Table for ~p (p v~ q) – 2 - 3e v
11. 11. Truth Table for (pvq) ^~ (p^q) – 2 - 4a
12. 12. Truth Table for (pvq) ^~ (p^q) – 2 - 4c
13. 13. Truth Table for (pvq) ^~ (p^q) – 2 - 4e v v
14. 14. Truth Table for (pvq) ^~ (p^q) – 2 -4f
15. 15. Exclusive OR – 2 - 5
16. 16. Symbols for Exclusive OR – 2 - 5a
17. 17. Logical Equivalence – 2 - 6
18. 18. Double Negation ~(~p) ≡ p – 2 - 7
19. 19. Examples – 2 - 12
20. 20. Example – 2 - 17c
21. 21. Example – 2 - 17d
22. 22. Example – 2 - 17e
23. 23. De Morgan’s Laws – 2 - 9
24. 24. De Morgan’s Laws – 2 - 9a
25. 25. Proof – 2 - 16
26. 26. Proof – 2 - 16d
27. 27. Application – 2 - 10
28. 28. Exercise – 2 - 19
29. 29. Tautology – 2 - 21
30. 30. Example – 2 - 21a
31. 31. Contradiction – 2 - 22
32. 32. Example – 2 - 22a
33. 33. Exercise – 2 - 23
34. 34. Exercise – 2 - 24
35. 35. Laws of Logic – 2 - 25
36. 36. Laws of Logic – 2 - 25a
37. 37. Laws of Logic – 2 - 25b
38. 38. Laws of Logic – 2 - 25c
39. 39. Laws of Logic – 2 - 25d