CIS 125

06 Propositions and Truth Tables

 

Note: The tilde (~) may be used to denote a logical inversion, or NOT, operation.

The symbol v is used to represent the OR operator, while the ^ symbol represents the AND operator.

 

Evaluate each proposition for the truth values where p is false, q is true, and r is false.

 

1. p v q

 

2. p ^ q

 

3. p v q

 

4. p v (q v r)

 

5. (p v q) ^ (p v r)

 

Write the truth table for each proposition.

 

6. p ^ q

 

7. (p v q) v p

 

8. (p v q) ^ p

 

9. (p ^ q) v (p v q)

 

10. (p ^ q) v (r ^ p)