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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\$
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(NOT\$P)\$OR\$Q\$
T\$
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Biconditional\$Statement:\$P"
Qis\$true\$precisely\$when\$P\$and\$Q\$have\$the\$same\$
P\$
Q\$
PQ\$
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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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