webclassnotes2004

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border-top:1px solid #393939; clear:both; display:none; width:100%!important; position:relative; z-index:999999!important; height:90px!important"> <div class="adCenterClass" style="display:block!important; overflow:hidden; width:916px;"> <div id="footerAd_container" style="display:block!important; float:left; width:728px"> <iframe id="lycosFooterAdiFrame" style="border:0; display:block; float:left; height:96px; overflow:hidden; padding:0; width:750px"></iframe> </div> </div> </div> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" rowspan="2" width=200 BGCOLOR="#CC0000" TEXT="#080000"> <bR> <bR> <div> <I><B>Computer Language</b></I></div> <div> <I><B> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="142" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=CENTER BGCOLOR=#FFCC00 HEIGHT= 326 WIDTH="136"><div> <B>Binary Numbers </b></div> <div> <I><B>     </b></I></div> <div> <I><B>0110</b></I></div> <div> <I><B>1000</b></I></div> <div> <I><B>1001</b></I></div> <div> <I><B>0110</b></I></div> <bR> <bR> <bR> <bR> </tD> </tR> </TABLE></b></I></div> <bR> </td> <td valign="top" colspan=2 height=94 BGCOLOR="#CC0000" TEXT="#080000"> <bR> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="741" BORDERCOLORLIGHT="#BF0000" BORDERCOLORDARK="#3366CC" FRAME="BOX" RULES="ALL" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP BGCOLOR=#3300CC HEIGHT= 165 ><NOBR><div> <I><B> Web Class Notes 2004               </b></I><FONT SIZE="5" COLOR="#FFFFFF" FACE="Arial" ><B>Binary Numbers </b></FONT></div> <bR> <bR> <div> <I><B>    </b></I></div> <div> <I><B>   </b></I></div> </NOBR></tD> </tR> </TABLE></div> <div> </div> </td> </tr><tr> <td valign="top" height=386 colspan=2 BGCOLOR="#CC0000" TEXT="#080000"> <div> <TABLE BORDER="3" CELLPADDING="2" CELLSPACING="1" WIDTH="711" BORDERCOLORLIGHT="#3333FF" BORDERCOLORDARK="#0033CC" FRAME="BOX" RULES="ALL" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP BGCOLOR=#FFCC00 HEIGHT= 24 WIDTH="697"><div> <I><B> </b></I></div> </tD> </tR> <tR> <tD VALIGN=TOP BGCOLOR=#6600CC HEIGHT= 55 WIDTH="697"><bR> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="77" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP BGCOLOR=#FFCC00 HEIGHT= 16 ><NOBR><div> 10010010001</div> </NOBR></tD> </tR> </TABLE></div> <bR> </tD> </tR> <tR> <tD VALIGN=TOP BGCOLOR=#CC0033 HEIGHT= 2833 WIDTH="697"><bR> <div> <I><B>Definition of Binary  </b></I></div> <bR> <div> <I><B>Pertaining to a number system that has just two unique digits. For most purposes, we use the decimal number system, which has ten unique digits, 0 through 9.  </b></I></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <I><B>All other numbers</b></I></div> <div> <I><B> are then formed by combining </b></I></div> <div> <I><B>these ten digits.</b></I></div> <bR> <div> <I><B><U>Computers</U></b></I><I><B> are based on the </b></I><I><B><U>binary numbering system</U></b></I><I><B>,</b></I></div> <div> <I><B> which consists of just two unique numbers, </b></I><I><B><U>0 and 1</U></b></I><I><B>.</b></I></div> <bR> <div> <I><B> All operations that are possible in the decimal system</b></I></div> <div> <I><B> (addition, subtraction, multiplication, division) are equally possible in the binary system. </b></I></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <I><B>We use the decimal system in everyday life because it </b></I></div> <div> <I><B>seems more natural (we have ten fingers and ten toes).</b></I></div> <bR> <div> <I><B> For the computer, the binary system is more natural because of its electrical nature (charged versus uncharged). </b></I></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <I><B>In the decimal system, each digit position represents a value of 10 to the position's power. </b></I></div> <bR> <div> <I><B>For example, the number </b></I><I><B><U>345</U></b></I><I><B> means: </b></I></div> <bR> <div> <I><B><U>3 three 100s </U></b></I><I><B>(10 to the 2nd power) </b></I></div> <bR> <div> <I><B>plus </b></I></div> <bR> <div> <I><B><U>4 four 10s </U></b></I><I><B>(10 to the first power) </b></I></div> <bR> <div> <I><B>plus </b></I></div> <bR> <div> <I><B><U>5 five 1s</U></b></I><I><B> (10 to the zeroth power) </b></I></div> <bR> <bR> <div> <I><B>In the binary system, each digit position </b></I></div> <div> <I><B>represents a value of 2 </b></I></div> <bR> <div> <I><B>2. For example, the binary number 1011 equals: </b></I></div> <bR> <div> <I><B>1 one 8 (2 to the 3rd power) </b></I></div> <bR> <div> <I><B>plus </b></I></div> <bR> <div> <I><B>0 zero 4s (2 to the 2nd power) </b></I></div> <bR> <div> <I><B>plus </b></I></div> <bR> <div> <I><B>1 one 2 (2 to the first power) </b></I></div> <bR> <div> <I><B>plus </b></I></div> <bR> <div> <I><B>1 one 1 (2 to the zeroth power) </b></I></div> <bR> <div> <I><B>So a binary 1011 equals a decimal 11. </b></I></div> <bR> <div> <I><B>Because computers use the binary number system, </b></I></div> <div> <I><B>powers of 2 play an important role. </b></I></div> <bR> <div> <I><B>This is why everything in computers seems to come in</b></I></div> <div> <I><B> 8s (2 to the 3rd power), </b></I></div> <div> <I><B>64s (2 to the 6th power),</b></I></div> <div> <I><B> 128s (2 to the 7th power),</b></I></div> <div> <I><B> and 256s (2 to the 8th power). </b></I></div> <bR> <div> <I><B>Programmers also use the octal (8 numbers) and hexadecimal (16 numbers) number systems because they map nicely onto the binary system. </b></I></div> <bR> <div> <I><B>Each octal digit represents exactly three binary digits, and each hexadecimal digit represents four binary digits. </b></I></div> <bR> <div> <I><B>Refers to the base-16 number system, which consists of 16 unique symbols: </b></I></div> <bR> <div> <I><B>the numbers 0 to 9 and the letters A to F. For example, the decimal number 15 is represented as F in the hexadecimal numbering system. </b></I></div> <bR> <div> <I><B>The hexadecimal system is useful because it can represent every byte (8 bits) as two consecutive hexadecimal digits.</b></I></div> <bR> <div> <I><B> It is easier for humans to read hexadecimal numbers than binary numbers. </b></I></div> <bR> <div> <I><B>To convert a value from hexadecimal to binary, you merely translate each hexadecimal digit into its 4-bit binary equivalent.</b></I></div> <bR> <div> <I><B> Hexadecimal numbers have either an 0x prefix or an h suffix. For example, the hexadecimal number </b></I></div> <bR> <div> <I><B>0x3F7A </b></I></div> <bR> <div> <I><B>translates to the following binary number: </b></I></div> <bR> <div> <I><B>0011 1111 0111 1010 </b></I></div> <bR> <bR> <bR> <bR> </tD> </tR> </TABLE></div> <bR> <bR> <bR> <div>  <embed src="HTMLobj-17/iwilltelltheworld.mid" autostart="false" width="145" height="70">  </div> <bR> <bR> <bR> <bR> <bR> <bR> <bR> <bR> <bR> <DIV ALIGN="LEFT"></DIV> <div> <I><B>http://www.happybd.com/thepups/</b></I></div> <bR> <bR> </td> </tr></table></body>