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# Lecture 02

## on Jan 17, 2012

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Discrete Mathematics

Discrete Mathematics

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## Lecture 02Presentation Transcript

• Truth Table
• Truth Table for ~p^q - 2
• Truth Table for ~p^q – 2a
• Truth Table for ~p^q – 2b
• Truth Table for ~p^q – 2c
• ~p ^ (q v~ r) – (2 - 3a)
• ~p ^ (q v~ r) – 2 - 3b
• ~p ^ (q v~ r) – 2 - 3c
• ~p ^ (q v~ r) – 2 - 3d
• Truth Table for ~p (p v~ q) – 2 - 3e v
• Truth Table for (pvq) ^~ (p^q) – 2 - 4a
• Truth Table for (pvq) ^~ (p^q) – 2 - 4c
• Truth Table for (pvq) ^~ (p^q) – 2 - 4e v v
• Truth Table for (pvq) ^~ (p^q) – 2 -4f
• Exclusive OR – 2 - 5
• Symbols for Exclusive OR – 2 - 5a
• Logical Equivalence – 2 - 6
• Double Negation ~(~p) ≡ p – 2 - 7
• Examples – 2 - 12
• Example – 2 - 17c
• Example – 2 - 17d
• Example – 2 - 17e
• De Morgan’s Laws – 2 - 9
• De Morgan’s Laws – 2 - 9a
• Proof – 2 - 16
• Proof – 2 - 16d
• Application – 2 - 10
• Exercise – 2 - 19
• Tautology – 2 - 21
• Example – 2 - 21a
• Contradiction – 2 - 22
• Example – 2 - 22a
• Exercise – 2 - 23
• Exercise – 2 - 24
• Laws of Logic – 2 - 25
• Laws of Logic – 2 - 25a
• Laws of Logic – 2 - 25b
• Laws of Logic – 2 - 25c
• Laws of Logic – 2 - 25d