Truth Tables Practice Problems with Answers

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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