Discrete Mathematics Exam 1 Questions with complete solution 2026

Discrete Mathematics Exam 1
Questions with complete solution
2026
p v q - correct answer ✔This is a disjunction: p or q, or p and q. This is an inclusive or.



p ^ q - correct answer ✔This is a conjunction: p and q



p ⊕ q - correct answer ✔This is an exclusive or: either p or q



p → q - correct answer ✔This is an implication. If p, then q



Converse conditional statements - correct answer ✔q → p



Contrapositive conditional statements - correct answer ✔¬q → ¬p (has the same truth values as p →
q)



Inverse conditional statement - correct answer ✔¬p → ¬q



p ↔ q - correct answer ✔This is a biconditional statement, also known as bi-implications. It means p
if and only if q. True if both p and q have the same truth values. Also written as "p is necessary and
sufficient for q", "if p then q, and conversely", and "p iff q".



Precedence of logical operators in 1st to 5th - correct answer ✔1. ¬ 2. ^ 3. v 4. → 5. ↔



Bit - correct answer ✔This is a symbol with two possible values, specifically 0 (zero) and 1 (one). 1
represents the True value and 0 represents a False value.