Truth Tables Practice Problems with Answers

There are eight (8) problems for you to work through in this section that will give you enough practice in constructing truth tables.

Problem 1: Write the truth table for

not p or q
Answer
not p or q is T, F, T, T

Problem 2: Write the truth table for

(p and q) or not q
Answer
(p and q) or not q is T, T, F, T

Problem 3: Write the truth table for

not (p or q)
Answer
not (p or q) is F,F,F, T

Problem 4: Write the truth table for

(p and q) or (p or q)
Answer
(p and q) or (p or q) is T, T, T, F

Problem 5: Write the truth table for

(p and q) implies r
Answer
(p and q) implies r is T,F,T,T,T,T,T,T

Problem 6: Write the truth table for

(p or not q) implies not r
Answer
(p or not not q) implies not r is F,T,F,T,T,T,F,T

Problem 7: Write the truth table for

(p implies q) implies not(q implies r)
Answer
(p implies q) implies not (q implies r) is F,T,T,T,F,T,F,F

Problem 8: Write the truth table for

[p and (q implies r)] implies (p or not r)
Answer
[p and (q implies r)] implies (p or not r) is T,T,T,T,T,T,T,T

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