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Study Guide

[ECE 103] - Final Exam Guide - Comprehensive Notes for the exam (41 pages long!)


Department
Electrical and Computer Engineering
Course Code
ECE103
Professor
Martin Pei
Study Guide
Final

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UW
ECE 103
FINAL EXAM
STUDY GUIDE

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The$statement$P"AND"Q is$called$the$conjunction of$P"and"Q and$is$true$
when$ both$
P$and$Q$are$true$and$false$otherwise.$
1.
The$statement P"OR"Q is$called$the$disjunction of$P"and"Q and$is$true$
when$ at$least$
one$of$P$and$Q$is$true$and$false$otherwise.$
2.
The$statement$NOT"P is$called$the$negation of$Pand$is$true$when$P$is$
false$and$
false$when$P$is$true.$
3.
Definition$1.2.1$Let$P$and$Q$be$two$statements.$
Implications:$“If"P,"then"Q” where$statement$ P$is$called$the$hypothesis$ and$
statement$Q$is$called$the$conclusion.$(P$Q”)
Truth$Table$
P$
Q$
PQ$
(NOT$P)$OR$Q$
T$
T
F
F$
T$
F$
T$
F$
T$
F$
T$
T$
T$
T
T$
Biconditional$Statement:$P"
Qis$true$precisely$when$P$and$Q$have$the$same$
truth$value.$It$is$read,$P$if$and$only$if$Q.”$
The$truth$table$is$readily$found.$
P$
Q$
PQ$
T$
T
F
F$
T$
F
T$
F$
T
F
F
T$
Statements
Wednesday,$ June$17,$2015
12:06$AM
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Tautology:$A$statement$that$is$always$true
$$$$$$$P$(Q$AND$R)$$(P$Q)$AND$(P$R)$
Example: P$(Q$OR$R)$(P$AND$(NOT$Q))$R$
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