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<table cellpadding="0" cellspacing="0" width="100%" border="0" xmlns:java="http://xml.apache.org/xslt/java">                                    <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" cellspacing="0" cellpadding="2" width="100%" border="0">                                                            <tr>                                                                <td valign="middle"><img height="22" width="22" border="0" src="../../../../../images/ccna/common/inotes.gif"></td><td valign="middle"><span class="cstitle">Instructor Note</span></td>                                                            </tr>                                                            <tr>                                                                <td valign="top">&nbsp;</td><td valign="top"><span class="cstext">                                                                        <p>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>The "lab" activity, actually a paper exercise, requires approximately 30 minutes. This TI relates to CCNA Certification Exam Objective #30.</p>                                                                    </span></td>                                                            </tr>                                                        </table>                                                    </td>                                                </tr>                                            </table>                                        </td>                                    </tr>                                </table><p>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>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>Conversion exercise. <img border="0" src="../../../../../CHAPID=knet-v214aCH47501/RLOID=knet-v214aRLO47520/RIOID=knet-v214aRIO120865/knet/v214adataimage2/2.gif" width="12" height="12"></p><table cellpadding="0" cellspacing="0" width="100%" border="0" xmlns:java="http://xml.apache.org/xslt/java">                                    <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="0" border="0">                                                            <tr>                                                                <td>                                                                    <table bgcolor="#FFFFFF" cellpadding="2" width="100%" border="0">                                                                        <tr>                                                                            <td valign="top"><img height="22" width="22" border="0" src="../../../../../images/ccna/common/icon4.gif"></td><td valign="middle"><span class="cstitle"><a href="#" onClick="javascript:launchReference('knet-v214aRIO125207', 'null', 'null');void(null);">Lab Activity</a></span></td>                                                                        </tr>                                                                        <tr>                                                                            <td valign="top">&nbsp;</td><td valign="top"><span class="cstext">                                                                                    <p>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>                                                                                </span></td>                                                                        </tr>                                                                    </table>                                                                </td>                                                            </tr>                                                        </table>                                                    </td>                                                </tr>                                            </table>                                        </td>                                    </tr>                                </table>                                <p xmlns:java="http://xml.apache.org/xslt/java">                                </p><p>                                    <b>Example:</b>                                </p><p>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>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"><tr><td colspan="1" rowspan="1"><span class="smtext">0 x 2<sup>0</sup>=</span></td><td align="right" colspan="1" rowspan="1"><span class="smtext">0</span></td></tr><tr><td colspan="1" rowspan="1"><span class="smtext">0 x 2<sup>1</sup>=</span></td><td align="right" colspan="1" rowspan="1"><span class="smtext">0</span></td></tr><tr><td colspan="1" rowspan="1"><span class="smtext">0 x 2<sup>2</sup>=</span></td><td align="right" colspan="1" rowspan="1"><span class="smtext">0</span></td></tr><tr><td colspan="1" rowspan="1"><span class="smtext">0 x 2<sup>3</sup>=</span></td><td align="right" colspan="1" rowspan="1"><span class="smtext">0</span></td></tr><tr><td colspan="1" rowspan="1"><span class="smtext">1 x 2<sup>4</sup>=</span></td><td align="right" colspan="1" rowspan="1"><span class="smtext">16</span></td></tr><tr><td colspan="1" rowspan="1"><span class="smtext">1 x 2<sup>5</sup>=</span></td><td align="right" colspan="1" rowspan="1"><span class="smtext">32</span></td></tr><tr><td colspan="1" rowspan="1"><span class="smtext">1 x 2<sup>6</sup>=</span></td><td align="right" colspan="1" rowspan="1"><span class="smtext">64</span></td></tr><tr><td colspan="1" rowspan="1"><span class="smtext">0 x 2<sup>7</sup>=</span></td><td align="right" colspan="1" rowspan="1"><span class="smtext">0</span></td></tr><tr><td colspan="2" rowspan="1"><span class="smtext">__________</span></td></tr><tr><td colspan="1" rowspan="1"><span class="smtext">聽</span></td><td align="right" colspan="1" rowspan="1"><span class="smtext">112</span></td></tr></table><table cellpadding="0" cellspacing="4" width="63%" border="0" xmlns:java="http://xml.apache.org/xslt/java">                                    <tr>                                        <td valign="middle" width="8%"><img height="23" width="23" src="../../../../../images/ccna/common/icon2.gif"></td><td valign="middle" width="92%"><span class="cstitle">Web Links</span></td>                                    </tr>                                    <tr>                                        <td valign="middle" width="8%">&nbsp;</td><td valign="middle" width="92%"><span class="smtext"><a target="_blank" href="http://www.howstuffworks.com/bytes.htm">How Bits and Bytes Work</a></span></td>                                    </tr>                                </table></td>                        </tr>                    </table>                </td>            </tr></table>        <p>        </p>        <table width="100%" cellspacing="0" cellpadding="2" border="0" valign="bottom">            <tr>                <td></td>            </tr>        </table>    </body></html>

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