DeMorgans Laws
( p q ) (p) (q)
(p q ) (p) (q)
p
q
pq
1
1
1
1
0
0
0
(pq)
p
q
(p) (q)
0
0
0
0
0
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
(Peter is tall and fat)
Peter is not tall Peter is not fat
(cucumbers are green or seedy)
cucumbers are not green cucumbers are
Outline of COT 3100 material for first exam I. Logic A. Symbols(, and ) B. Truth Tables C. Logic Laws D. Methods of showing equality of logical expressions E. Implication Rules F. Contrapositive of a stmt. G. Quantifiers II. Sets A. Symbols( , , , , , , a
Summer 2008 COT 3100 Homework #1
Given: 5/19/08 (Mon)
Due: 5/28/08 (Wed in class)
Directions: Please justify each of your answers. In particular, explain what each number
in your answer represents. If an explanation is similar to a previous one, just stat
THE FOUNDATIONS:
LOGIC AND PROOFS
Chapter 1
Section 1.4 : Predicates and Quantifiers
Predicates and Quantifiers
Propositional logic, studied in the previous sections, cannot
adequately express the meaning of all statements in
mathematics and in natural la
Classification of Combinatorial problems
i) Order matters / does not matter
Choose a committee of 3 out of 10 members
(members are distinguishable): the order of the
members in committee does not matter
10! 10 9 8
C (10, 3) =
=
3!7!
3!
Choose president,
Revised Printing
EEL 3801
Computer
Organization
Fall 2012 (UCF)
Chapter 2
Principles of Machine Design
1.
2.
Instructions are represented as numbers and, as
such, are indistinguishable from data
Programs are stored in alterable memory (that can
be read or
COT3100C-01, Fall 2002
S. Lang
Assignment #1 (40 pts.)
Assigned: 8/27/2002
Due: 9/5 in class by 8:45 am
Instructions: Write your answer neatly and concisely. All proofs need to be justified step by step
by using the appropriate definitions, theorems, and
/ Sean Szumlanski
/ COP 3502, Summer 2016
/ dma_part2.c
/ =
/ Dynamic allocation of 1D arrays.
#include <stdio.h>
#include <stdlib.h>
/ This is a bit tongue-in-cheek. You'll see me use it throughout the semester.
void panic(char *err_msg)
cfw_
fprintf(std
COT 3100
Spring2001
Assignment #1
Solution Key
#1 (p. 13, #18). There are seven different basic systems, four modems, three CD ROM
drives and six different printers. How many different 4 configurations can be made from
these elements?
Ans: 7 4 3 6=504
#2.
COT 3100H Spring 2008 Homework #1 Assigned: 1/8/08 Due: 1/15/08
1) Write out a truth table for the following logical expressions: a) [ p ( p q )] q c) p (q (p r ) 2) Determine all truth value assignments for the primitive statements p, q, r, s, t that mak
COT 3100C Recitation #2 summer 2016
Question 1: Express each of these statements using predicates and
quantifiers.
a) A passenger on an airline qualifies as an elite flyer if the passenger flies more than 25,000
miles in a year or takes more than 25 fligh
Assignment #2
Due Tuesday, 1/27 Complete the following exercises from chapter 1.3: 2, 8, 10 Complete the following exercises from chapter 1.4: d 14, 28, 32(a,b, and d) Complete the following exercises from chapter 1.5: 14, 24 J For question 14, translate
Due Tuesday, 2/24
Assignment #5
Complete the following exercises from chapter 2.2: h 2, 26, 30 For question 30 in particular, justify your answers Complete the following exercises from chapter 2.3: 6, 8, 12, 16, 22, 28, 32 Honor Section:
Due Tuesday, 2/
Chapter 1.1: Exercise 6: Let p and q be the propositions "The election is decided" and "The votes have been counted", respectively. Express each of these compound propositions as an English sentence. No a b c d e f g h Proposition p p q p q qp q p p q pq
COT 3100
Slides 11/27
Topics
Equivalence Relations
Assigned Reading: Chapter 8.5
Assignment #5
(Due 11/29)
Assignment #5 is due during your recitation on
Thursday 11/29. (No late assignment.) Your last
recitation. There may be a quiz during your last
reci
COT 3100
Slides 09/13
Topics
Sets
Assigned Reading: Chapter 2.1-2.2
Assignment #1 is due today
during your recitation!
Please hand in to your TA before your
recitation!
If you can not attend your recitation, you
should hand in yours through TA s office
ho
TA info
COT 3100C Discrete Mathematics
Haiyan Nancy Hu
School of Electrical Engineering and Computer Science
University of Central Florida
of Central Florida
Swastikkumar Brahma
Email: [email protected]
Office Hours and Location: To be announced
Lei Wu
E
Logical Operators /Connectives
COT 3100C Discrete Mathematics
Haiyan Nancy Hu
School of Electrical Engineering and Computer Science
University of Central Florida
[email protected]
The negation of a proposition can also be considered the
result of the oper
Announcements
COT 3100C Discrete Mathematics
Haiyan Nancy Hu
School of Electrical Engineering and Computer Science
University of Central Florida
Class canceled this Thursday.
Group Assignment
Group Homework 1, will be posted tonight at
[email protected]
COT 3100
Slides 11/20
Topics
Equivalence Relations
Assigned Reading: Chapter 8.5
Assignment #5
(Due 11/29)
Assignment #5 is due during your recitation on
Thursday 11/29. (No late assignment.) Your last
recitation. There may be a quiz during your last
reci
COT 3100
Slides 11/15
Topics
Relations
Assigned Reading: Chapter 8.1
Assignment #5 (due 11/29)
No late assignments for #5.
Please check webcourses for detailed
problems.
Expected Values
Example: Let X be the random variable equal to the sum
of the numbers
COT 3100
Slides 11/13
Topics
6.1, 6.2, and 6.4 Probability Theory
Assignment #5 (due 11/29, No
Late Assignments!)
Three Chapters:
- 5 Counting
- 6 Probability Theory
- 8 Relations
Discrete Probability
Example I: A die is biased so that the number 3 appear
Homework #1
COT 3100C-0001 Spring 2017 Dr. Glinos
Assigned: 1/9/2017
Due: 1/13/2017
SOLUTIONS
Name (please print): _ PID: _
Instructions:
1. You must submit a paper copy of your answers at your assigned lab session on the due
date. Electronic co
COT3100H, Summer 2017
Assignment #5
Instructions: Write your answer neatly and concisely. All proofs need to be justified step by step by
using the appropriate definitions, theorems, and logical reasoning. Illegible scribbles or unclear logic
will result
13-2 Notice that this is a shift register. At each falling clock edge, Q3 takes on the value QZ had right before the clock edge,
Q2 takes on the value Q1 had right before the clock edge, and Q1 takes on the value X had right before the clock edge.
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COT3100C, Summer 2017
Assignment #6
Instructions: Write your answer neatly and concisely. All proofs need to be justified step by step by
using the appropriate definitions, theorems, and logical reasoning. Illegible scribbles or unclear logic
will result