Discrete Mathematics Exam 1 ACTUAL Exam Questions and CORRECT Answers

Discrete Mathematics Exam 1 ACTUAL
Exam Questions and CORRECT Answers
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.


De Morgan's law - CORRECT ANSWER- ✔✔When you distribute a "¬", then you flip the
conjunction or disjunction sign that you are distributing to.