Z denotes the set of all integers.
Z+ denotes the set of all positive integers, not including 0.
R denotes the set of all real numbers.
Problem 1. What is the truth value of each of the following?
x R , y R
x Z+ , y R
: xy = 1
Department of Computer Science & Software Engineering
Mathematics for Computer Science
(Fairly easy) practice questions for COMP 232
1. What are the converse and contrapositive of the statement If it is sunny, the
1. What are the converse and contrapositive of the statement If it is sunny, then I will go swimming? 2. Show that (p q) and q q are equivalent (a) using a truth table. (b) using logical equivalences. 3. Prove or disprove that (p q) r and p (q r) are equi
Discrete Math - Quiz 4
Do all questions. Your grade will depend on correctness as well as clarity of writing.
1. Consider the following theorem: if x and y are odd integers, then x + y is even.
Give a proof by contradiction of this theorem
Concordia University '
Department of Electrical and Computer Engineering
COEN 231/2 U Fall 1996
Value: 65% of ﬁnal grade
Time: 3 hours
Total marks: 65
Materials allowed: Two 8 and 1/2 by ll-crib sheets (both sides)
Discrete Mathematics Problems
William F. Klostermeyer
School of Computing
University of North Florida
Jacksonville, FL 32224
1.1 Basics . . . . . .
1.2 Truth Tables and
1.3 Quantiers . . .
1.4 Circuits .