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<html>    <head>        <meta content="text/html; charset=UTF-8" http-equiv="Content-Type">        <link type="text/css" rel="stylesheet" href="../../../../../css/ccna.css">        <script src="../../../../../js/framesetHelper.js" language="JavaScript"></script><script language="JavaScript">            var pageLoaded = false;            var current = '';            var currentChapter = 'knet-v214aCH47501';                function launchReference(rioID, rloID, chapterID)        {            contentID = "knet-v214aCV47051";            dash = contentID.indexOf('-');            sub1 = contentID.substring(0,dash);            sub2 = contentID.substring(dash+1);                        numbackParams = "CHAPID=" + chapterID + "/RLOID=" + rloID + "/RIOID=" + rioID;                        ContentRef = "../../../../../"+ numbackParams + "/"+ sub1 +"/"+ sub2 +"/";        			            eval('top.frames.main_frame.location.href="'+ContentRef+'referencecontroller_pf.html"');                }                  	function PrevPage()       	{            	top.currentSupport--; 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   }    function returnContent() {        rioID = top.currentPage;        rloID = top.currentRLO;		ContentID = top.currentChapter;		                        top.firstSupportPage = '';        top.prevPage = '';        top.contentResourceID = '';        top.currentSupport = 0;        nbparams = "CHAPID="+ContentID+"/RLOID="+rloID+"/RIOID="+rioID;        dash = ContentID.indexOf('-');        sub1 = ContentID.substring(0,dash);        sub2 = ContentID.substring(dash+1);        ContentRef = "../../../../../"+ nbparams +"/"+ sub1 +"/"+ sub2 +"/"		        				                eval('top.frames.main_frame.location.href="'+ContentRef+'pageframesetrio.html"');                }    	                               </script>    </head>    <body leftmargin="20" topmargin="10" marginwidth="30" marginheight="10" bgcolor="#FFFFFF" onLoad="window.focus();" background="../../../../../images/ccna/common/lab/bglab.gif">        <table bgcolor="#000000" cellspacing="0" width="100%" border="0">            <tr>                <td width="100%">                    <table cellpadding="4" cellspacing="1" width="100%" border="0">                        <tr>                            <td width="10%" bgcolor="#FFFFFF" valign="top">                                <table cellpadding="0" cellspacing="0" width="100%" border="0">                                    <tr>                                        <td width="33%"><script language="JavaScript">                                        //if (parent.parent.getTopName() == "chapterframeset")                                        //{                                            var imgSource = '../../../../../images/ccna/common/lab/labback.gif';                                            document.write('<a href="javascript:PrevPage();">');                                            document.write('<img src="' + imgSource + '" border="0">');                                            document.write('</a>');                                        //}                                    </script></td><td width="33%"></td>                                    </tr>                                </table>                                <p>                                </p>                            </td><td bgcolor="#FFFFFF" valign="top">                                <p align="left">                                    <span class="resourceTitle">1.3.6 Converting binary numbers to decimal numbers</span>                                </p><object height="100%" width="100%" codebase="http://active.macromedia.com/flash4/cabs/swflash.cab#version=4,0,0,0" classid="clsid:D27CDB6E-AE6D-11cf-96B8-444553540000"><param name="movie" value="../../../../../CHAPID=knet-v214aCH47501/RLOID=knet-v214aRLO47520/RIOID=knet-v214aRIO120865/knet/v214aVID4983/1_3_6.swf"><param value="high" name="quality">                                    <embed height="100%" width="100%" pluginspage="http://www.macromedia.com/shockwave/download/index.cgi?P1_Prod_Version=ShockwaveFlash" type="application/x-shockwave-flash" quality="high" src="../../../../../CHAPID=knet-v214aCH47501/RLOID=knet-v214aRLO47520/RIOID=knet-v214aRIO120865/knet/v214aVID4983/1_3_6.swf">                                    </embed>                                </object>Instructor Note<p class="smtext">The purpose of this target indicator is to convert binary to decimal, as is often needed in IP addressing problems. Again, two seemingly different algorithms are offered (they are really the same algorithm) -- one in flowchart form, one in text form. As with the prior target indicator, the only way to master this skill is practice. It is imperative that students have mastered decimal to binary and binary to decimal conversions prior to beginning IP addressing. A lab activity to give the students more practice is included.</p><p class="smtext">The "lab" activity, actually a paper exercise, requires approximately 30 minutes. This TI relates to CCNA Certification Exam Objective #30.</p><p class="smtext">There are two basic ways to convert binary numbers to decimal numbers. The flowchart in the main graphic shows one example. <img border="0" src="../../../../../CHAPID=knet-v214aCH47501/RLOID=knet-v214aRLO47520/RIOID=knet-v214aRIO120865/knet/v214adataimage1/1.gif" width="12" height="12"></p><p class="smtext">You can also convert binary numbers to decimal numbers by multiplying the binary digits by the base number of the system - Base 2 - raised to the exponent of its position.</p><p class="smtext">Conversion exercise. <img border="0" src="../../../../../CHAPID=knet-v214aCH47501/RLOID=knet-v214aRLO47520/RIOID=knet-v214aRIO120865/knet/v214adataimage2/2.gif" width="12" height="12"></p><a href="#" onClick="javascript:launchReference('knet-v214aRIO125207', 'null', 'null');void(null);">Lab Activity</a><p class="smtext">In this lab, you will learn to work with the binary numbering system. You will convert binary numbers (Base 2) to decimal numbers (Base 10) and decimal to binary.</p><p class="smtext">                                    <b>Example:</b>                                </p><p class="smtext">Convert the binary number 01110000 to a decimal number. </p><table cellpadding="0" cellspacing="0" border="0">                                    <tr>                                        <td width="100%"><img height="10" width="1" border="0" src="../../../../../images/ccna/common/transdot.gif"></td>                                    </tr>                                    <tr>                                        <td width="100%">                                            <table bgcolor="#000000" bordercolor="#000000" cellspacing="0" bordercolorlight="#000000" width="100%" border="0">                                                <tr>                                                    <td width="100%">                                                        <table bgcolor="#FFFFFF" width="100%" cellspacing="0" cellpadding="3" border="0">                                                            <tr>                                                                <td><span class="note"><b>NOTE:</b><p class="smtext">Work from right to left. Remember that anything raised to the 0 power is 1; therefore 2<sup>0</sup> = 1.</p></span></td>                                                            </tr>                                                        </table>                                                    </td>                                                </tr>                                            </table>                                        </td>                                    </tr>                                </table><table border="0" cellspacing="2" bordercolor="#000000"><tr><td class="smtext" colspan="1" rowspan="1">0 x 2<sup>0</sup>=</td><td class="smtext" align="right" colspan="1" rowspan="1">0</td></tr><tr><td class="smtext" colspan="1" rowspan="1">0 x 2<sup>1</sup>=</td><td class="smtext" align="right" colspan="1" rowspan="1">0</td></tr><tr><td class="smtext" colspan="1" rowspan="1">0 x 2<sup>2</sup>=</td><td class="smtext" align="right" colspan="1" rowspan="1">0</td></tr><tr><td class="smtext" colspan="1" rowspan="1">0 x 2<sup>3</sup>=</td><td class="smtext" align="right" colspan="1" rowspan="1">0</td></tr><tr><td class="smtext" colspan="1" rowspan="1">1 x 2<sup>4</sup>=</td><td class="smtext" align="right" colspan="1" rowspan="1">16</td></tr><tr><td class="smtext" colspan="1" rowspan="1">1 x 2<sup>5</sup>=</td><td class="smtext" align="right" colspan="1" rowspan="1">32</td></tr><tr><td class="smtext" colspan="1" rowspan="1">1 x 2<sup>6</sup>=</td><td class="smtext" align="right" colspan="1" rowspan="1">64</td></tr><tr><td class="smtext" colspan="1" rowspan="1">0 x 2<sup>7</sup>=</td><td class="smtext" align="right" colspan="1" rowspan="1">0</td></tr><tr><td class="smtext" colspan="2" rowspan="1">__________</td></tr><tr><td class="smtext" colspan="1" rowspan="1">聽</td><td class="smtext" align="right" colspan="1" rowspan="1">112</td></tr></table>Web Links<a target="_blank" href="http://www.howstuffworks.com/bytes.htm"><span class="smtext">How Bits and Bytes Work</span></a></td>                        </tr>                    </table>                </td>            </tr>        </table>    </body></html>

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