<?xml version="1.0" encoding="UTF-16"?>਀㰀倀爀攀猀攀渀琀愀琀椀漀渀㸀 
<pptaddin>Articulate Presenter version 6 Pro,build10</pptaddin>਀㰀䘀椀氀攀渀愀洀攀㸀䌀㨀尀䐀漀挀甀洀攀渀琀猀 愀渀搀 匀攀琀琀椀渀最猀尀栀愀爀最椀猀爀尀䴀礀 䐀漀挀甀洀攀渀琀猀尀䴀䄀吀㄀㈀　尀瀀瀀琀尀甀渀椀琀㌀尀洀漀搀椀昀椀攀搀尀　　㌀开匀礀猀琀攀洀猀ⴀ一甀洀攀爀愀氀猀椀渀䐀椀昀昀攀爀攀渀琀䈀愀猀攀猀㌀⸀瀀瀀琀㰀⼀䘀椀氀攀渀愀洀攀㸀 
<LmsProperties>਀㰀瀀爀漀琀漀挀漀氀㸀 
<method/>਀㰀瘀攀爀猀椀漀渀⼀㸀 
</protocol>਀㰀挀漀洀瀀氀攀琀椀漀渀㸀 
<method/>਀㰀琀栀爀攀猀栀漀氀搀⼀㸀 
<target/>਀㰀⼀挀漀洀瀀氀攀琀椀漀渀㸀 
</LmsProperties>਀㰀䈀甀椀氀琀椀渀倀爀漀瀀攀爀琀椀攀猀㸀 
<Title><![CDATA[Systems - Lesson 3: Numerals in Different Bases]]></Title>਀㰀䈀愀猀攀倀愀琀栀㸀　　㌀开匀礀猀琀攀洀猀ⴀ一甀洀攀爀愀氀猀椀渀䐀椀昀昀攀爀攀渀琀䈀愀猀攀猀㌀㰀⼀䈀愀猀攀倀愀琀栀㸀 
<PresenterName><![CDATA[]]></PresenterName>਀㰀倀爀攀猀攀渀琀攀爀吀椀琀氀攀㸀㰀℀嬀䌀䐀䄀吀䄀嬀崀崀㸀㰀⼀倀爀攀猀攀渀琀攀爀吀椀琀氀攀㸀 
<PresenterCompany><![CDATA[]]></PresenterCompany>਀㰀倀爀攀猀攀渀琀攀爀䔀洀愀椀氀㸀㰀℀嬀䌀䐀䄀吀䄀嬀崀崀㸀㰀⼀倀爀攀猀攀渀琀攀爀䔀洀愀椀氀㸀 
<PresenterBio><![CDATA[]]></PresenterBio>਀㰀倀爀攀猀攀渀琀攀爀倀栀漀琀漀⼀㸀 
</BuiltinProperties>਀㰀刀攀昀攀爀攀渀挀攀猀㸀 
<Doc>਀㰀吀椀琀氀攀㸀㰀℀嬀䌀䐀䄀吀䄀嬀倀爀椀渀琀攀爀ⴀ䘀爀椀攀渀搀氀礀 嘀攀爀猀椀漀渀 漀昀 琀栀椀猀 倀爀攀猀攀渀琀愀琀椀漀渀崀崀㸀㰀⼀吀椀琀氀攀㸀 
<Type>file</Type>਀㰀䐀愀琀愀㸀㰀℀嬀䌀䐀䄀吀䄀嬀　　㌀开猀礀猀琀攀洀猀ⴀ渀甀洀攀爀愀氀猀椀渀搀椀昀昀攀爀攀渀琀戀愀猀攀猀㌀⸀瀀搀昀崀崀㸀㰀⼀䐀愀琀愀㸀 
</Doc>਀㰀⼀刀攀昀攀爀攀渀挀攀猀㸀 
<Slides>਀㰀匀氀椀搀攀 椀搀㴀∀　愀搀愀㄀昀㔀攀ⴀ㤀㔀搀戀ⴀ㐀愀戀㄀ⴀ㤀㔀　㔀ⴀ㠀㜀㘀　搀㘀㄀㠀㄀㜀㐀㄀∀㸀 
<Filename>slide1.swf</Filename>਀㰀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀戀最搀㄀氀㄀⸀猀眀昀㰀⼀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀 
<Title><![CDATA[Numerals in Different Bases]]></Title>਀㰀一漀琀攀猀㸀㰀℀嬀䌀䐀䄀吀䄀嬀吀攀砀琀  䌀栀愀瀀琀攀爀 㐀 ጀ†匀攀挀琀椀漀渀 ㌀崀崀㸀㰀⼀一漀琀攀猀㸀 
<notesswfbig>notes/notesbig1.swf</notesswfbig>਀㰀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀 
<notesswfsmall>notes/notessmall1.swf</notesswfsmall>਀㰀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀 
<SlideTime>90</SlideTime>਀㰀眀愀椀琀昀漀爀甀猀攀爀㸀昀愀氀猀攀㰀⼀眀愀椀琀昀漀爀甀猀攀爀㸀 
<Hidden>false</Hidden>਀㰀渀愀瘀氀漀挀欀攀搀㸀昀愀氀猀攀㰀⼀渀愀瘀氀漀挀欀攀搀㸀 
<branch>਀㰀瀀爀攀瘀㸀搀攀昀愀甀氀琀㰀⼀瀀爀攀瘀㸀 
<next>default</next>਀㰀⼀戀爀愀渀挀栀㸀 
<DisplayMode></DisplayMode>਀㰀氀攀瘀攀氀㸀　㰀⼀氀攀瘀攀氀㸀 
<PlayListId>-1</PlayListId>਀㰀愀渀渀漀琀愀琀椀漀渀猀㸀 
</annotations>਀㰀匀氀椀搀攀吀攀砀琀㸀㰀℀嬀䌀䐀䄀吀䄀嬀一甀洀攀爀愀氀猀 椀渀 䐀椀昀昀攀爀攀渀琀 䈀愀猀攀猀 吀攀砀琀  䌀栀愀瀀琀攀爀 㐀 ጀ†匀攀挀琀椀漀渀 ㌀ 崀崀㸀㰀⼀匀氀椀搀攀吀攀砀琀㸀 
<framerate>30</framerate>਀㰀⼀匀氀椀搀攀㸀 
<Slide id="42062d81-3947-46a8-be99-a3a9d0583ed1">਀㰀䘀椀氀攀渀愀洀攀㸀猀氀椀搀攀㈀⸀猀眀昀㰀⼀䘀椀氀攀渀愀洀攀㸀 
<BackgroundFile>bgd1l2.swf</BackgroundFile>਀㰀吀椀琀氀攀㸀㰀℀嬀䌀䐀䄀吀䄀嬀唀猀椀渀最 䘀愀洀椀氀椀愀爀 䴀甀氀琀椀瀀氀椀攀爀猀崀崀㸀㰀⼀吀椀琀氀攀㸀 
<Notes><![CDATA[No in-class assignment problem]]></Notes>਀㰀渀漀琀攀猀猀眀昀戀椀最㸀渀漀琀攀猀⼀渀漀琀攀猀戀椀最㈀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀戀椀最㸀 
<NotesHeightBig>22</NotesHeightBig>਀㰀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀渀漀琀攀猀⼀渀漀琀攀猀猀洀愀氀氀㈀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀 
<NotesHeightSmall>22</NotesHeightSmall>਀㰀匀氀椀搀攀吀椀洀攀㸀㤀　㰀⼀匀氀椀搀攀吀椀洀攀㸀 
<waitforuser>false</waitforuser>਀㰀䠀椀搀搀攀渀㸀昀愀氀猀攀㰀⼀䠀椀搀搀攀渀㸀 
<navlocked>false</navlocked>਀㰀戀爀愀渀挀栀㸀 
<prev>default</prev>਀㰀渀攀砀琀㸀搀攀昀愀甀氀琀㰀⼀渀攀砀琀㸀 
</branch>਀㰀䐀椀猀瀀氀愀礀䴀漀搀攀㸀㰀⼀䐀椀猀瀀氀愀礀䴀漀搀攀㸀 
<level>0</level>਀㰀倀氀愀礀䰀椀猀琀䤀搀㸀ⴀ㄀㰀⼀倀氀愀礀䰀椀猀琀䤀搀㸀 
<annotations>਀㰀⼀愀渀渀漀琀愀琀椀漀渀猀㸀 
<SlideText><![CDATA[Using Familiar Multipliers The multipliers such as     ,     , and     ,     etc. will be replaced by familiar multipliers (digits) 4, 1, and 3, etc. Write the numeral below using digits.    Base 9   3         0           2           6 9 No in-class assignment problem ]]></SlideText>਀㰀昀爀愀洀攀爀愀琀攀㸀㌀　㰀⼀昀爀愀洀攀爀愀琀攀㸀 
</Slide>਀㰀匀氀椀搀攀 椀搀㴀∀搀㈀㠀攀㐀㔀㜀搀ⴀ戀戀挀㈀ⴀ㐀愀㜀㔀ⴀ㤀愀攀愀ⴀ㜀搀㤀㄀㄀搀㘀挀㌀攀㠀搀∀㸀 
<Filename>slide3.swf</Filename>਀㰀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀戀最搀㄀氀㈀⸀猀眀昀㰀⼀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀 
<Title><![CDATA[How Many Digits Needed in a Base]]></Title>਀㰀一漀琀攀猀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ ㄀崀崀㸀㰀⼀一漀琀攀猀㸀 
<notesswfbig>notes/notesbig3.swf</notesswfbig>਀㰀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀 
<notesswfsmall>notes/notessmall3.swf</notesswfsmall>਀㰀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀 
<SlideTime>90</SlideTime>਀㰀眀愀椀琀昀漀爀甀猀攀爀㸀昀愀氀猀攀㰀⼀眀愀椀琀昀漀爀甀猀攀爀㸀 
<Hidden>false</Hidden>਀㰀渀愀瘀氀漀挀欀攀搀㸀昀愀氀猀攀㰀⼀渀愀瘀氀漀挀欀攀搀㸀 
<branch>਀㰀瀀爀攀瘀㸀搀攀昀愀甀氀琀㰀⼀瀀爀攀瘀㸀 
<next>default</next>਀㰀⼀戀爀愀渀挀栀㸀 
<DisplayMode></DisplayMode>਀㰀氀攀瘀攀氀㸀　㰀⼀氀攀瘀攀氀㸀 
<PlayListId>-1</PlayListId>਀㰀愀渀渀漀琀愀琀椀漀渀猀㸀 
</annotations>਀㰀匀氀椀搀攀吀攀砀琀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䠀漀眀 䴀愀渀礀 䐀椀最椀琀猀 一攀攀搀攀搀 椀渀 愀 䈀愀猀攀 䄀渀礀 渀愀琀甀爀愀氀 渀甀洀戀攀爀 最爀攀愀琀攀爀 琀栀愀渀 ㄀ 洀愀礀 戀攀 琀栀攀 戀愀猀攀 漀昀 愀 渀甀洀攀爀愀琀椀漀渀 猀礀猀琀攀洀⸀ 䄀 瀀漀猀椀琀椀漀渀 渀甀洀攀爀愀琀椀漀渀 猀礀猀琀攀洀 眀椀琀栀 戀愀猀攀Ⰰ 戀Ⰰ 洀甀猀琀 栀愀瘀攀 戀 洀甀氀琀椀瀀氀椀攀爀猀Ⰰ 搀椀最椀琀猀 猀琀愀爀琀椀渀最 眀椀琀栀 　Ⰰ ㄀Ⰰ ㈀Ⰰ ☀Ⱐ ⠀戀 ጀ†㄀⤀⸀ 䔀砀愀洀瀀氀攀㨀 䐀椀最椀琀猀 漀昀 戀愀猀攀 㜀㨀 　Ⰰ ㄀Ⰰ ㈀Ⰰ ㌀Ⰰ 㐀Ⰰ 㔀Ⰰ 㘀⸀       䐀椀最椀琀猀 漀昀 戀愀猀攀 ㈀㨀 　Ⰰ ㄀⸀ 䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ ㄀ 崀崀㸀㰀⼀匀氀椀搀攀吀攀砀琀㸀 
<framerate>30</framerate>਀㰀⼀匀氀椀搀攀㸀 
<Slide id="399b984b-51ba-4c72-bdf2-393fecd19158">਀㰀䘀椀氀攀渀愀洀攀㸀猀氀椀搀攀㐀⸀猀眀昀㰀⼀䘀椀氀攀渀愀洀攀㸀 
<BackgroundFile>bgd1l2.swf</BackgroundFile>਀㰀吀椀琀氀攀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䐀椀最椀琀猀 昀漀爀 䈀愀猀攀猀 䜀爀攀愀琀攀爀 吀栀愀渀 ㄀　崀崀㸀㰀⼀吀椀琀氀攀㸀 
<Notes><![CDATA[In-class Assignment 19 - 1]]></Notes>਀㰀渀漀琀攀猀猀眀昀戀椀最㸀渀漀琀攀猀⼀渀漀琀攀猀戀椀最㐀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀戀椀最㸀 
<NotesHeightBig>22</NotesHeightBig>਀㰀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀渀漀琀攀猀⼀渀漀琀攀猀猀洀愀氀氀㐀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀 
<NotesHeightSmall>22</NotesHeightSmall>਀㰀匀氀椀搀攀吀椀洀攀㸀㤀　㰀⼀匀氀椀搀攀吀椀洀攀㸀 
<waitforuser>false</waitforuser>਀㰀䠀椀搀搀攀渀㸀昀愀氀猀攀㰀⼀䠀椀搀搀攀渀㸀 
<navlocked>false</navlocked>਀㰀戀爀愀渀挀栀㸀 
<prev>default</prev>਀㰀渀攀砀琀㸀搀攀昀愀甀氀琀㰀⼀渀攀砀琀㸀 
</branch>਀㰀䐀椀猀瀀氀愀礀䴀漀搀攀㸀㰀⼀䐀椀猀瀀氀愀礀䴀漀搀攀㸀 
<level>0</level>਀㰀倀氀愀礀䰀椀猀琀䤀搀㸀ⴀ㄀㰀⼀倀氀愀礀䰀椀猀琀䤀搀㸀 
<annotations>਀㰀⼀愀渀渀漀琀愀琀椀漀渀猀㸀 
<SlideText><![CDATA[Digits for Bases Greater Than 10 Each multiplier (digit) must be a single symbol. Use A, B, C, D, E, F, etc.  as the digits respectively for 10, 11, 12, 13, 14, 15, etc. The digits of base 13:     0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C Base 13 has 13 digits. In-class Assignment 19 - 1 ]]></SlideText>਀㰀昀爀愀洀攀爀愀琀攀㸀㌀　㰀⼀昀爀愀洀攀爀愀琀攀㸀 
</Slide>਀㰀匀氀椀搀攀 椀搀㴀∀昀㠀　㠀戀攀㜀㤀ⴀ㘀搀搀㠀ⴀ㐀㌀愀搀ⴀ㤀㤀昀㌀ⴀ㄀㘀㌀㠀㘀㠀㐀戀戀昀攀㠀∀㸀 
<Filename>slide5.swf</Filename>਀㰀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀戀最搀㄀氀㈀⸀猀眀昀㰀⼀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀 
<Title><![CDATA[Position Values in Other Bases]]></Title>਀㰀一漀琀攀猀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ ㈀崀崀㸀㰀⼀一漀琀攀猀㸀 
<notesswfbig>notes/notesbig5.swf</notesswfbig>਀㰀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀 
<notesswfsmall>notes/notessmall5.swf</notesswfsmall>਀㰀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀 
<SlideTime>90</SlideTime>਀㰀眀愀椀琀昀漀爀甀猀攀爀㸀昀愀氀猀攀㰀⼀眀愀椀琀昀漀爀甀猀攀爀㸀 
<Hidden>false</Hidden>਀㰀渀愀瘀氀漀挀欀攀搀㸀昀愀氀猀攀㰀⼀渀愀瘀氀漀挀欀攀搀㸀 
<branch>਀㰀瀀爀攀瘀㸀搀攀昀愀甀氀琀㰀⼀瀀爀攀瘀㸀 
<next>default</next>਀㰀⼀戀爀愀渀挀栀㸀 
<DisplayMode></DisplayMode>਀㰀氀攀瘀攀氀㸀　㰀⼀氀攀瘀攀氀㸀 
<PlayListId>-1</PlayListId>਀㰀愀渀渀漀琀愀琀椀漀渀猀㸀 
</annotations>਀㰀匀氀椀搀攀吀攀砀琀㸀㰀℀嬀䌀䐀䄀吀䄀嬀倀漀猀椀琀椀漀渀 嘀愀氀甀攀猀 椀渀 伀琀栀攀爀 䈀愀猀攀猀 吀栀攀 瀀漀猀椀琀椀漀渀 ⠀瀀氀愀挀攀⤀ 瘀愀氀甀攀猀 椀渀 愀 渀甀洀攀爀愀氀 愀爀攀 琀栀攀 瘀愀氀甀攀猀 漀昀 琀栀攀 瀀漀眀攀爀猀 漀昀 琀栀攀 戀愀猀攀⸀ 吀栀攀 瀀氀愀挀攀 瘀愀氀甀攀 琀漀 琀栀攀 攀砀琀爀攀洀攀 爀椀最栀琀 椀猀 愀氀眀愀礀猀 ㄀⸀ 䤀昀 琀栀攀 渀甀洀攀爀愀氀 挀漀渀猀椀猀琀猀 漀昀 渀 搀椀最椀琀猀 琀栀攀渀 琀栀攀 瀀氀愀挀攀 瘀愀氀甀攀 琀漀 琀栀攀 攀砀琀爀攀洀攀 氀攀昀琀 椀猀 琀栀攀 戀愀猀攀 爀愀椀猀攀搀 琀漀 琀栀攀 ⠀渀 ሀㄢ⤀ 瀀漀眀攀爀⸀ 䔀砀愀洀瀀氀攀㨀  吀栀攀 瀀漀猀椀琀椀漀渀 瘀愀氀甀攀猀 昀漀爀 㔀㈀㌀　㄀㠀 愀爀攀 昀爀漀洀 氀攀昀琀 琀漀 爀椀最栀琀  㠀㐀Ⰰ  㠀㌀ Ⰰ 㠀㈀ Ⰰ 㠀㄀Ⰰ 㠀　  ⸀ 䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ ㈀ 崀崀㸀㰀⼀匀氀椀搀攀吀攀砀琀㸀 
<framerate>30</framerate>਀㰀⼀匀氀椀搀攀㸀 
<Slide id="6c387924-64a8-4c76-ae5d-44d9c79175d9">਀㰀䘀椀氀攀渀愀洀攀㸀猀氀椀搀攀㘀⸀猀眀昀㰀⼀䘀椀氀攀渀愀洀攀㸀 
<BackgroundFile>bgd1l2.swf</BackgroundFile>਀㰀吀椀琀氀攀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䌀漀渀瘀攀爀琀椀渀最 愀 一甀洀攀爀愀氀 椀渀 愀 䐀椀昀昀攀爀攀渀琀 䈀愀猀攀 琀漀 䈀愀猀攀 ㄀　崀崀㸀㰀⼀吀椀琀氀攀㸀 
<Notes><![CDATA[No in-class assignment problem]]></Notes>਀㰀渀漀琀攀猀猀眀昀戀椀最㸀渀漀琀攀猀⼀渀漀琀攀猀戀椀最㘀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀戀椀最㸀 
<NotesHeightBig>22</NotesHeightBig>਀㰀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀渀漀琀攀猀⼀渀漀琀攀猀猀洀愀氀氀㘀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀 
<NotesHeightSmall>22</NotesHeightSmall>਀㰀匀氀椀搀攀吀椀洀攀㸀㤀　㰀⼀匀氀椀搀攀吀椀洀攀㸀 
<waitforuser>false</waitforuser>਀㰀䠀椀搀搀攀渀㸀昀愀氀猀攀㰀⼀䠀椀搀搀攀渀㸀 
<navlocked>false</navlocked>਀㰀戀爀愀渀挀栀㸀 
<prev>default</prev>਀㰀渀攀砀琀㸀搀攀昀愀甀氀琀㰀⼀渀攀砀琀㸀 
</branch>਀㰀䐀椀猀瀀氀愀礀䴀漀搀攀㸀㰀⼀䐀椀猀瀀氀愀礀䴀漀搀攀㸀 
<level>0</level>਀㰀倀氀愀礀䰀椀猀琀䤀搀㸀ⴀ㄀㰀⼀倀氀愀礀䰀椀猀琀䤀搀㸀 
<annotations>਀㰀⼀愀渀渀漀琀愀琀椀漀渀猀㸀 
<SlideText><![CDATA[Converting a Numeral in a Different Base to Base 10  In every base the symbol “10” stands for the base.  That is 1012 = 12, 105 = 5, etc. Above each digit in the numeral of a given base place the value of the powers of the given base starting at the extreme right and moving to the left. Place value: 4096    512    64    8     1 Face value:    5         2       3     0     1 8 No in-class assignment problem ]]></SlideText>਀㰀昀爀愀洀攀爀愀琀攀㸀㌀　㰀⼀昀爀愀洀攀爀愀琀攀㸀 
</Slide>਀㰀匀氀椀搀攀 椀搀㴀∀挀㠀㠀㔀㈀挀攀㄀ⴀ㘀㤀㔀㐀ⴀ㐀㌀㄀㐀ⴀ戀㐀攀攀ⴀ戀㘀搀㤀挀㜀戀㘀搀㤀㐀㤀∀㸀 
<Filename>slide7.swf</Filename>਀㰀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀戀最搀㄀氀㈀⸀猀眀昀㰀⼀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀 
<Title><![CDATA[Converting a Numeral in a Different Base to Base 10 - continued]]></Title>਀㰀一漀琀攀猀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ ㌀崀崀㸀㰀⼀一漀琀攀猀㸀 
<notesswfbig>notes/notesbig7.swf</notesswfbig>਀㰀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀 
<notesswfsmall>notes/notessmall7.swf</notesswfsmall>਀㰀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀 
<SlideTime>90</SlideTime>਀㰀眀愀椀琀昀漀爀甀猀攀爀㸀昀愀氀猀攀㰀⼀眀愀椀琀昀漀爀甀猀攀爀㸀 
<Hidden>false</Hidden>਀㰀渀愀瘀氀漀挀欀攀搀㸀昀愀氀猀攀㰀⼀渀愀瘀氀漀挀欀攀搀㸀 
<branch>਀㰀瀀爀攀瘀㸀搀攀昀愀甀氀琀㰀⼀瀀爀攀瘀㸀 
<next>default</next>਀㰀⼀戀爀愀渀挀栀㸀 
<DisplayMode></DisplayMode>਀㰀氀攀瘀攀氀㸀　㰀⼀氀攀瘀攀氀㸀 
<PlayListId>-1</PlayListId>਀㰀愀渀渀漀琀愀琀椀漀渀猀㸀 
</annotations>਀㰀匀氀椀搀攀吀攀砀琀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䌀漀渀瘀攀爀琀椀渀最 愀 一甀洀攀爀愀氀 椀渀 愀 䐀椀昀昀攀爀攀渀琀 䈀愀猀攀 琀漀 䈀愀猀攀 ㄀　 ⴀ 挀漀渀琀椀渀甀攀搀 倀氀愀挀攀 瘀愀氀甀攀㨀 㐀　㤀㘀    㔀㄀㈀    㘀㐀    㠀     ㄀ 䘀愀挀攀 瘀愀氀甀攀㨀    㔀         ㈀       ㌀     　     ㄀ 㠀 刀攀洀攀洀戀攀爀 椀渀 愀 瀀漀猀椀琀椀漀渀愀氀 渀甀洀攀爀愀琀椀漀渀 猀礀猀琀攀洀 琀漀 洀甀氀琀椀瀀氀礀 琀栀攀 洀甀氀琀椀瀀氀椀攀爀 ⠀搀椀最椀琀⤀ 戀礀 琀栀攀 瀀氀愀挀攀 瘀愀氀甀攀⸀  ⠀㔀 砀 㐀　㤀㘀⤀ ⬀ ⠀㈀ 砀 㔀㄀㈀⤀ ⬀ ⠀㌀ 砀 㘀㐀⤀ ⬀ ⠀㠀 砀 　⤀ ⬀ ⠀㄀ 砀 ㄀⤀  ㈀　㐀㠀　 ⬀ ㄀　㈀㐀 ⬀ ㄀㤀㈀ ⬀ 　  ⬀ ㄀ 㴀 ㈀㄀㘀㤀㜀  吀栀攀爀攀昀漀爀攀Ⰰ  㔀㈀㌀　㄀㠀  㴀 ㈀㄀㘀㤀㜀㄀　 䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ ㌀ 崀崀㸀㰀⼀匀氀椀搀攀吀攀砀琀㸀 
<framerate>30</framerate>਀㰀⼀匀氀椀搀攀㸀 
<Slide id="39166d34-a05c-4636-ad90-2e9903ce20fe">਀㰀䘀椀氀攀渀愀洀攀㸀猀氀椀搀攀㠀⸀猀眀昀㰀⼀䘀椀氀攀渀愀洀攀㸀 
<BackgroundFile>bgd1l2.swf</BackgroundFile>਀㰀吀椀琀氀攀㸀㰀℀嬀䌀䐀䄀吀䄀嬀圀爀椀琀椀渀最 愀 䈀愀猀攀 ㄀　 一甀洀攀爀愀氀 椀渀 䄀渀漀琀栀攀爀 䈀愀猀攀崀崀㸀㰀⼀吀椀琀氀攀㸀 
<Notes><![CDATA[No in-class assignment problem]]></Notes>਀㰀渀漀琀攀猀猀眀昀戀椀最㸀渀漀琀攀猀⼀渀漀琀攀猀戀椀最㠀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀戀椀最㸀 
<NotesHeightBig>22</NotesHeightBig>਀㰀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀渀漀琀攀猀⼀渀漀琀攀猀猀洀愀氀氀㠀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀 
<NotesHeightSmall>22</NotesHeightSmall>਀㰀匀氀椀搀攀吀椀洀攀㸀㤀　㰀⼀匀氀椀搀攀吀椀洀攀㸀 
<waitforuser>false</waitforuser>਀㰀䠀椀搀搀攀渀㸀昀愀氀猀攀㰀⼀䠀椀搀搀攀渀㸀 
<navlocked>false</navlocked>਀㰀戀爀愀渀挀栀㸀 
<prev>default</prev>਀㰀渀攀砀琀㸀搀攀昀愀甀氀琀㰀⼀渀攀砀琀㸀 
</branch>਀㰀䐀椀猀瀀氀愀礀䴀漀搀攀㸀㰀⼀䐀椀猀瀀氀愀礀䴀漀搀攀㸀 
<level>0</level>਀㰀倀氀愀礀䰀椀猀琀䤀搀㸀ⴀ㄀㰀⼀倀氀愀礀䰀椀猀琀䤀搀㸀 
<annotations>਀㰀⼀愀渀渀漀琀愀琀椀漀渀猀㸀 
<SlideText><![CDATA[Writing a Base 10 Numeral in Another Base Determine the highest power of the new base that is less than or equal to the base 10 numeral. Divide the base 10 numeral by the value of that power of the new base. Divide the remainder by the next lower power of the new base. Continue until only “ones” remain.  No in-class assignment problem ]]></SlideText>਀㰀昀爀愀洀攀爀愀琀攀㸀㌀　㰀⼀昀爀愀洀攀爀愀琀攀㸀 
</Slide>਀㰀匀氀椀搀攀 椀搀㴀∀㤀　㜀㠀㄀搀攀㐀ⴀ昀攀㌀㐀ⴀ㐀㌀戀愀ⴀ愀㌀搀㜀ⴀ㔀戀㜀挀㌀㤀㜀愀㠀搀愀挀∀㸀 
<Filename>slide9.swf</Filename>਀㰀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀戀最搀㄀氀㈀⸀猀眀昀㰀⼀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀 
<Title><![CDATA[Write 247 as a Base 4 Numeral]]></Title>਀㰀一漀琀攀猀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ 㐀崀崀㸀㰀⼀一漀琀攀猀㸀 
<notesswfbig>notes/notesbig9.swf</notesswfbig>਀㰀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀 
<notesswfsmall>notes/notessmall9.swf</notesswfsmall>਀㰀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀 
<SlideTime>90</SlideTime>਀㰀眀愀椀琀昀漀爀甀猀攀爀㸀昀愀氀猀攀㰀⼀眀愀椀琀昀漀爀甀猀攀爀㸀 
<Hidden>false</Hidden>਀㰀渀愀瘀氀漀挀欀攀搀㸀昀愀氀猀攀㰀⼀渀愀瘀氀漀挀欀攀搀㸀 
<branch>਀㰀瀀爀攀瘀㸀搀攀昀愀甀氀琀㰀⼀瀀爀攀瘀㸀 
<next>default</next>਀㰀⼀戀爀愀渀挀栀㸀 
<DisplayMode></DisplayMode>਀㰀氀攀瘀攀氀㸀　㰀⼀氀攀瘀攀氀㸀 
<PlayListId>-1</PlayListId>਀㰀愀渀渀漀琀愀琀椀漀渀猀㸀 
</annotations>਀㰀匀氀椀搀攀吀攀砀琀㸀㰀℀嬀䌀䐀䄀吀䄀嬀圀爀椀琀攀 ㈀㐀㜀 愀猀 愀 䈀愀猀攀 㐀 一甀洀攀爀愀氀 吀栀攀 搀椀最椀琀猀 椀渀 戀愀猀攀 㐀 愀爀攀 　Ⰰ ㄀Ⰰ ㈀Ⰰ ㌀⸀ 倀漀眀攀爀猀 漀昀 㐀㨀 㐀　 㴀㄀Ⰰ 㐀㄀㴀㐀Ⰰ 㐀㈀㴀㄀㘀Ⰰ 㐀㌀㴀㘀㐀Ⰰ 㐀㐀㴀㈀㔀㘀 鈀‡㈀㔀㘀 㸀 ㈀㐀㜀 吀栀攀 瀀漀猀椀琀椀漀渀 瘀愀氀甀攀猀 眀椀氀氀 戀攀 昀爀漀洀 氀攀昀琀 琀漀 爀椀最栀琀㨀  㘀㐀     ㄀㘀     㐀     ㄀ 䠀漀眀 洀愀渀礀 ᰀ㘠㐀ᴀ猠 愀爀攀 椀渀 ㈀㐀㜀㼀   吀栀攀爀攀 愀爀攀 ㌀⸀ 䠀漀眀 洀愀渀礀 ᰀㄠ㘀ᴀ猠 椀渀 琀栀攀 爀攀洀愀椀渀搀攀爀 㔀㔀㼀 吀栀攀爀攀 愀爀攀 ㌀⸀ 䠀漀眀 洀愀渀礀 ᰀ㐠ᴀ猠 椀渀 琀栀攀 爀攀洀愀椀渀搀攀爀 㜀㼀  吀栀攀爀攀 椀猀 ㄀⸀   䠀漀眀 洀愀渀礀 ᰀㄠᴀ猠 椀渀 琀栀攀 爀攀洀愀椀渀搀攀爀 ㌀㼀 吀栀攀爀攀 愀爀攀 ㌀⸀ 吀栀攀爀攀昀漀爀攀Ⰰ ㈀㐀㜀㄀　 㴀 ㌀㌀㄀㌀㐀  䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ 㐀 崀崀㸀㰀⼀匀氀椀搀攀吀攀砀琀㸀 
<framerate>30</framerate>਀㰀⼀匀氀椀搀攀㸀 
<Slide id="1b17d781-6c68-43b8-b616-a8d7e5786346">਀㰀䘀椀氀攀渀愀洀攀㸀猀氀椀搀攀㄀　⸀猀眀昀㰀⼀䘀椀氀攀渀愀洀攀㸀 
<BackgroundFile>bgd1l2.swf</BackgroundFile>਀㰀吀椀琀氀攀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䌀漀渀瘀攀爀琀椀渀最 琀漀 䄀渀漀琀栀攀爀 䈀愀猀攀崀崀㸀㰀⼀吀椀琀氀攀㸀 
<Notes><![CDATA[No in-class assignment problem.]]></Notes>਀㰀渀漀琀攀猀猀眀昀戀椀最㸀渀漀琀攀猀⼀渀漀琀攀猀戀椀最㄀　⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀戀椀最㸀 
<NotesHeightBig>22</NotesHeightBig>਀㰀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀渀漀琀攀猀⼀渀漀琀攀猀猀洀愀氀氀㄀　⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀 
<NotesHeightSmall>22</NotesHeightSmall>਀㰀匀氀椀搀攀吀椀洀攀㸀㤀　㰀⼀匀氀椀搀攀吀椀洀攀㸀 
<waitforuser>false</waitforuser>਀㰀䠀椀搀搀攀渀㸀昀愀氀猀攀㰀⼀䠀椀搀搀攀渀㸀 
<navlocked>false</navlocked>਀㰀戀爀愀渀挀栀㸀 
<prev>default</prev>਀㰀渀攀砀琀㸀搀攀昀愀甀氀琀㰀⼀渀攀砀琀㸀 
</branch>਀㰀䐀椀猀瀀氀愀礀䴀漀搀攀㸀㰀⼀䐀椀猀瀀氀愀礀䴀漀搀攀㸀 
<level>0</level>਀㰀倀氀愀礀䰀椀猀琀䤀搀㸀ⴀ㄀㰀⼀倀氀愀礀䰀椀猀琀䤀搀㸀 
<annotations>਀㰀⼀愀渀渀漀琀愀琀椀漀渀猀㸀 
<SlideText><![CDATA[Converting to Another Base Things to be aware of. Use only the digits available in the new base. Divide by the powers of the new base. Division is rapid subtraction.  So subtraction may be used in place of division. When converting a numeral from a larger base to a smaller base the resulting numeral will look larger even though they are numerals for the same number. When converting a numeral from a smaller base to a larger base the resulting numeral will look smaller.  No in-class assignment problem. ]]></SlideText>਀㰀昀爀愀洀攀爀愀琀攀㸀㌀　㰀⼀昀爀愀洀攀爀愀琀攀㸀 
</Slide>਀㰀匀氀椀搀攀 椀搀㴀∀㘀㔀挀挀　㘀戀挀ⴀ㘀㄀㠀　ⴀ㐀㌀㈀㘀ⴀ戀　　攀ⴀ㘀㠀㤀㔀㌀愀㤀㜀㤀㜀㈀㈀∀㸀 
<Filename>slide11.swf</Filename>਀㰀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀戀最搀㄀氀㈀⸀猀眀昀㰀⼀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀 
<Title><![CDATA[To Convert a Numeral From One Strange Base to Another]]></Title>਀㰀一漀琀攀猀㸀㰀℀嬀䌀䐀䄀吀䄀嬀一漀 椀渀ⴀ挀氀愀猀猀 愀猀猀椀最渀洀攀渀琀 瀀爀漀戀氀攀洀⸀崀崀㸀㰀⼀一漀琀攀猀㸀 
<notesswfbig>notes/notesbig11.swf</notesswfbig>਀㰀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀 
<notesswfsmall>notes/notessmall11.swf</notesswfsmall>਀㰀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀 
<SlideTime>90</SlideTime>਀㰀眀愀椀琀昀漀爀甀猀攀爀㸀昀愀氀猀攀㰀⼀眀愀椀琀昀漀爀甀猀攀爀㸀 
<Hidden>false</Hidden>਀㰀渀愀瘀氀漀挀欀攀搀㸀昀愀氀猀攀㰀⼀渀愀瘀氀漀挀欀攀搀㸀 
<branch>਀㰀瀀爀攀瘀㸀搀攀昀愀甀氀琀㰀⼀瀀爀攀瘀㸀 
<next>default</next>਀㰀⼀戀爀愀渀挀栀㸀 
<DisplayMode></DisplayMode>਀㰀氀攀瘀攀氀㸀　㰀⼀氀攀瘀攀氀㸀 
<PlayListId>-1</PlayListId>਀㰀愀渀渀漀琀愀琀椀漀渀猀㸀 
</annotations>਀㰀匀氀椀搀攀吀攀砀琀㸀㰀℀嬀䌀䐀䄀吀䄀嬀吀漀 䌀漀渀瘀攀爀琀 愀 一甀洀攀爀愀氀 䘀爀漀洀 伀渀攀 匀琀爀愀渀最攀 䈀愀猀攀 琀漀 䄀渀漀琀栀攀爀 䌀漀渀瘀攀爀琀 琀栀攀 最椀瘀攀渀 渀甀洀攀爀愀氀 椀渀 琀栀攀 最椀瘀攀渀 戀愀猀攀 琀漀 愀 戀愀猀攀 ㄀　 渀甀洀攀爀愀氀⸀ 一攀攀搀 琀漀 欀渀漀眀 琀栀攀 瀀漀猀椀琀椀漀渀 瘀愀氀甀攀 漀昀 琀栀攀 最椀瘀攀渀 戀愀猀攀 渀甀洀攀爀愀氀 䴀甀氀琀椀瀀氀礀 愀渀搀 愀搀搀 琀漀 昀椀渀搀 琀栀攀 戀愀猀攀 ㄀　 渀甀洀攀爀愀氀⸀ 䌀漀渀瘀攀爀琀 琀栀椀猀 戀愀猀攀 ㄀　 渀甀洀攀爀愀氀 琀漀 琀栀攀 漀琀栀攀爀 戀愀猀攀⸀ 一攀攀搀 琀漀 欀渀漀眀 琀栀攀 搀椀最椀琀猀 愀渀搀 瀀漀猀椀琀椀漀渀 瘀愀氀甀攀猀 椀渀 琀栀攀 渀攀眀 戀愀猀攀⸀ 一攀攀搀 琀漀 欀渀漀眀 琀栀攀 搀椀最椀琀猀 愀瘀愀椀氀愀戀氀攀 愀渀搀 瀀漀猀椀琀椀漀渀 瘀愀氀甀攀猀 漀昀 琀栀椀猀 戀愀猀攀⸀ 䐀椀瘀椀搀攀 琀漀 昀椀渀搀 琀栀攀 昀椀渀愀氀 戀愀猀攀 渀甀洀攀爀愀氀⸀ 一漀 椀渀ⴀ挀氀愀猀猀 愀猀猀椀最渀洀攀渀琀 瀀爀漀戀氀攀洀⸀ 崀崀㸀㰀⼀匀氀椀搀攀吀攀砀琀㸀 
<framerate>30</framerate>਀㰀⼀匀氀椀搀攀㸀 
<Slide id="134417bb-784c-46fc-91c1-1523eb99809c">਀㰀䘀椀氀攀渀愀洀攀㸀猀氀椀搀攀㄀㈀⸀猀眀昀㰀⼀䘀椀氀攀渀愀洀攀㸀 
<BackgroundFile>bgd1l2.swf</BackgroundFile>਀㰀吀椀琀氀攀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䌀漀渀瘀攀爀琀 ㈀　㄀㈀㈀㄀㌀ 琀漀 䈀愀猀攀 ㄀㄀崀崀㸀㰀⼀吀椀琀氀攀㸀 
<Notes><![CDATA[No in-class assignment problem]]></Notes>਀㰀渀漀琀攀猀猀眀昀戀椀最㸀渀漀琀攀猀⼀渀漀琀攀猀戀椀最㄀㈀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀戀椀最㸀 
<NotesHeightBig>22</NotesHeightBig>਀㰀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀渀漀琀攀猀⼀渀漀琀攀猀猀洀愀氀氀㄀㈀⸀猀眀昀㰀⼀渀漀琀攀猀猀眀昀猀洀愀氀氀㸀 
<NotesHeightSmall>22</NotesHeightSmall>਀㰀匀氀椀搀攀吀椀洀攀㸀㤀　㰀⼀匀氀椀搀攀吀椀洀攀㸀 
<waitforuser>false</waitforuser>਀㰀䠀椀搀搀攀渀㸀昀愀氀猀攀㰀⼀䠀椀搀搀攀渀㸀 
<navlocked>false</navlocked>਀㰀戀爀愀渀挀栀㸀 
<prev>default</prev>਀㰀渀攀砀琀㸀搀攀昀愀甀氀琀㰀⼀渀攀砀琀㸀 
</branch>਀㰀䐀椀猀瀀氀愀礀䴀漀搀攀㸀㰀⼀䐀椀猀瀀氀愀礀䴀漀搀攀㸀 
<level>0</level>਀㰀倀氀愀礀䰀椀猀琀䤀搀㸀ⴀ㄀㰀⼀倀氀愀礀䰀椀猀琀䤀搀㸀 
<annotations>਀㰀⼀愀渀渀漀琀愀琀椀漀渀猀㸀 
<SlideText><![CDATA[Convert 2012213 to Base 11 Step 1 Place values:  243   81   27    9   3   1 Face values:      2     0     1    2   2   1 (2 x 243)+(0 x 81)+(1 x 27)+(2 x 9)+(2 x 3)+(1 x 1)      486   +    0      +     27  +  18    +     6   +    1  Therefore, 201221 3 = 53810 No in-class assignment problem ]]></SlideText>਀㰀昀爀愀洀攀爀愀琀攀㸀㌀　㰀⼀昀爀愀洀攀爀愀琀攀㸀 
</Slide>਀㰀匀氀椀搀攀 椀搀㴀∀㔀挀戀昀㠀㐀㌀昀ⴀ搀攀挀㐀ⴀ㐀　㜀搀ⴀ愀愀㈀㔀ⴀ搀愀挀㐀挀㈀挀攀攀㈀㔀戀∀㸀 
<Filename>slide13.swf</Filename>਀㰀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀戀最搀㄀氀㈀⸀猀眀昀㰀⼀䈀愀挀欀最爀漀甀渀搀䘀椀氀攀㸀 
<Title><![CDATA[Convert 2012213 to Base 11Now 53810 to Base 11]]></Title>਀㰀一漀琀攀猀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ 㔀崀崀㸀㰀⼀一漀琀攀猀㸀 
<notesswfbig>notes/notesbig13.swf</notesswfbig>਀㰀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀䈀椀最㸀 
<notesswfsmall>notes/notessmall13.swf</notesswfsmall>਀㰀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀㈀㈀㰀⼀一漀琀攀猀䠀攀椀最栀琀匀洀愀氀氀㸀 
<SlideTime>90</SlideTime>਀㰀眀愀椀琀昀漀爀甀猀攀爀㸀昀愀氀猀攀㰀⼀眀愀椀琀昀漀爀甀猀攀爀㸀 
<Hidden>false</Hidden>਀㰀渀愀瘀氀漀挀欀攀搀㸀昀愀氀猀攀㰀⼀渀愀瘀氀漀挀欀攀搀㸀 
<branch>਀㰀瀀爀攀瘀㸀搀攀昀愀甀氀琀㰀⼀瀀爀攀瘀㸀 
<next>default</next>਀㰀⼀戀爀愀渀挀栀㸀 
<DisplayMode></DisplayMode>਀㰀氀攀瘀攀氀㸀　㰀⼀氀攀瘀攀氀㸀 
<PlayListId>-1</PlayListId>਀㰀愀渀渀漀琀愀琀椀漀渀猀㸀 
</annotations>਀㰀匀氀椀搀攀吀攀砀琀㸀㰀℀嬀䌀䐀䄀吀䄀嬀䌀漀渀瘀攀爀琀 ㈀　㄀㈀㈀㄀㌀ 琀漀 䈀愀猀攀 ㄀㄀ 一漀眀 㔀㌀㠀㄀　 琀漀 䈀愀猀攀 ㄀㄀ 匀琀攀瀀 ㈀ 䐀椀最椀琀猀㨀 　Ⰰ ㄀Ⰰ ㈀Ⰰ ㌀Ⰰ 㐀Ⰰ 㔀Ⰰ 㘀Ⰰ 㜀Ⰰ 㠀Ⰰ 㤀Ⰰ 䄀 倀漀眀攀爀猀 漀昀 ㄀㄀㨀 ㄀Ⰰ ㄀㄀Ⰰ ㄀㈀㄀Ⰰ 渀攀砀琀 椀猀 琀漀漀 氀愀爀最攀⸀ 䠀漀眀 洀愀渀礀 ᰀㄠ㈀㄀ᴀ猠 愀爀攀 椀渀 㔀㌀㠀㼀 㐀 爀攀洀愀椀渀搀攀爀 㔀㐀 䠀漀眀 洀愀渀礀 ᰀㄠ㄀ᴀ猠 愀爀攀 椀渀 㔀㐀㼀 㐀 爀攀洀愀椀渀搀攀爀 䄀 ⠀㄀　⤀  吀栀攀爀攀昀漀爀攀㨀  ㈀　㄀㈀㈀㄀㌀ 㴀 㔀㌀㠀 㴀 㐀㐀䄀㄀㄀ 䤀渀ⴀ挀氀愀猀猀 䄀猀猀椀最渀洀攀渀琀 ㄀㤀 ⴀ 㔀 崀崀㸀㰀⼀匀氀椀搀攀吀攀砀琀㸀 
<framerate>30</framerate>਀㰀⼀匀氀椀搀攀㸀 
</Slides>਀㰀⼀倀爀攀猀攀渀琀愀琀椀漀渀㸀 
