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369 lines
15 KiB
HTML
369 lines
15 KiB
HTML
<!doctype html>
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<html lang="en">
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<!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/numbers/convert-base.php by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:35:24 GMT -->
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<!-- Added by HTTrack --><meta http-equiv="content-type" content="text/html;charset=UTF-8" /><!-- /Added by HTTrack -->
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<head>
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<meta charset="UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Base Conversion Tool</title>
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
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<meta name="HandheldFriendly" content="true">
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<meta name="referrer" content="always">
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<link rel="preload" href="../images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin>
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<link rel="preload" href="../style4.css" as="style">
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<link rel="preload" href="../main4.js" as="script">
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</script>
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</head>
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<body id="bodybg">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="../index.html"><img src="../images/style/logo.svg" alt="Math is Fun"></a></div>
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<div id="search" role="search"></div>
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<div id="linkto"></div>
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<div id="menuSlim" class="menu"></div>
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<div id="menuTiny" class="menu"></div>
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</nav>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Base Conversion Tool</h1>
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<p class="center">Click in either box and type. The conversion is done live.<br>
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Can convert negatives and fractional parts too.</p>
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<div class="script" style="height: 360px;">images/convert-base.js</div>
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<p>Accuracy is about 16 places each side of "."</p>
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<p>To convert <b>between different bases</b>:</p>
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<ul>
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<li>select the name of the base, and type the number in next to it (this gets converted to decimal)</li>
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<li>change the name of the base</li>
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</ul>
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<h2>Bases Greater than 10</h2>
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<p>What happens when you need more than 10 digits?</p>
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<h2>Undecimal (Base 11)</h2>
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<p>Undecimal (Base 11) needs one more digit than Decimal, so "A" is used, like this:</p>
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<table style="border: 0;">
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<tr style="text-align:center;">
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<th>Decimal:</th>
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<td style="width:21px;">0</td>
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<td style="width:21px;">1</td>
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<td style="width:21px;">2</td>
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<td style="width:21px;">3</td>
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<td style="width:21px;">4</td>
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<td style="width:21px;">5</td>
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<td style="width:22px;">6</td>
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<td style="width:20px;">7</td>
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<td style="width:21px;">8</td>
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<td style="width:21px;">9</td>
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<td style="width:21px;">10</td>
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<td style="width:21px;">11</td>
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<td style="width:21px;">12</td>
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<td style="width:21px;">...</td>
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</tr>
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<tr style="text-align:center;">
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<th>Undecimal:</th>
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<td style="width:21px;">0</td>
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<td style="width:21px;">1</td>
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<td style="width:21px;">2</td>
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<td style="width:21px;">3</td>
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<td style="width:21px;">4</td>
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<td style="width:21px;">5</td>
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<td style="width:22px;">6</td>
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<td style="width:20px;">7</td>
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<td style="width:21px;">8</td>
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<td style="width:21px;">9</td>
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<td style="width:21px;"><b>A</b></td>
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<td style="width:21px;">10</td>
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<td style="width:21px;">11</td>
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<td style="width:21px;">...</td>
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</tr>
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</table>
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<h2>Duodecimal (Base 12)</h2>
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<p>Duodecimal (Base 12) needs two more digits than Decimal, so "A" and "B" are used:</p>
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<table style="border: 0;">
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<tr style="text-align:center;">
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<th>Decimal:</th>
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<td style="width:21px;">0</td>
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<td style="width:21px;">1</td>
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<td style="width:21px;">2</td>
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<td style="width:21px;">3</td>
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<td style="width:21px;">4</td>
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<td style="width:21px;">5</td>
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<td style="width:21px;">6</td>
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<td style="width:21px;">7</td>
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<td style="width:21px;">8</td>
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<td style="width:21px;">9</td>
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<td style="width:21px;">10</td>
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<td style="width:21px;">11</td>
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<td style="width:21px;">12</td>
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<td style="width:21px;">13</td>
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<td style="width:21px;">...</td>
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</tr>
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<tr style="text-align:center;">
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<th>Duodecimal:</th>
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<td style="width:21px;">0</td>
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<td style="width:21px;">1</td>
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<td style="width:21px;">2</td>
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<td style="width:21px;">3</td>
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<td style="width:21px;">4</td>
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<td style="width:21px;">5</td>
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<td style="width:21px;">6</td>
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<td style="width:21px;">7</td>
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<td style="width:21px;">8</td>
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<td style="width:21px;">9</td>
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<td style="width:21px;"><b>A</b></td>
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<td style="width:21px;"><b>B</b></td>
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<td style="width:21px;">10</td>
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<td style="width:21px;">11</td>
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<td style="width:21px;">...</td>
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</tr>
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</table>
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<p><i>(Note: some people use a T for 10 and E for 11, or a "2" and "3" rotated half way around for 10 and 11, but we use the same system as the other bases.)</i></p>
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<h2>Hexadecimal (Base 16)</h2>
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<p>Because there are more than 10 digits, hexadecimal is written using letters as well, like this:</p>
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<table style="border: 0;">
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<tr style="text-align:center;">
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<th>Decimal:</th>
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<td style="width:21px;">0</td>
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<td style="width:21px;">1</td>
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<td style="width:21px;">2</td>
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<td style="width:21px;">3</td>
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<td style="width:21px;">4</td>
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<td style="width:21px;">5</td>
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<td style="width:21px;">6</td>
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<td style="width:21px;">7</td>
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<td style="width:21px;">8</td>
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<td style="width:21px;">9</td>
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<td style="width:21px;">10</td>
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<td style="width:21px;">11</td>
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<td style="width:21px;">12</td>
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<td style="width:21px;">13</td>
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<td style="width:21px;">14</td>
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<td style="width:21px;">15</td>
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<td style="width:21px;">16</td>
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<td style="width:21px;">17</td>
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<td style="width:21px;">...</td>
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</tr>
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<tr style="text-align:center;">
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<th>Hexadecimal:</th>
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<td style="width:21px;">0</td>
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<td style="width:21px;">1</td>
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<td style="width:21px;">2</td>
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<td style="width:21px;">3</td>
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<td style="width:21px;">4</td>
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<td style="width:21px;">5</td>
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<td style="width:21px;">6</td>
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<td style="width:21px;">7</td>
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<td style="width:21px;">8</td>
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<td style="width:21px;">9</td>
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<td style="width:21px;"><b>A</b></td>
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<td style="width:21px;"><b>B</b></td>
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<td style="width:21px;"><b>C</b></td>
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<td style="width:21px;"><b>D</b></td>
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<td style="width:21px;"><b>E</b></td>
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<td style="width:21px;"><b>F</b></td>
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<td style="width:21px;">10</td>
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<td style="width:21px;">11</td>
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<td style="width:21px;">...</td>
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</tr>
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</table>
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<h2>Vigesimal (Base 20)</h2>
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<p>With vigesimal, the convention is that <b>I</b> is not used because it looks like <b>1</b>, so <b>J</b>=18 and <b>K</b>=19, as in this table:</p>
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<table style="border: 0;">
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<tr style="text-align:center;">
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<th>Decimal:</th>
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<td style="width:21px;">0</td>
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<td style="width:21px;">1</td>
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<td style="width:21px;">2</td>
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<td style="width:21px;">3</td>
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<td style="width:21px;">4</td>
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<td style="width:21px;">5</td>
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<td style="width:21px;">6</td>
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<td style="width:21px;">7</td>
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<td style="width:21px;">8</td>
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<td style="width:21px;">9</td>
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<td style="width:21px;">10</td>
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<td style="width:21px;">11</td>
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<td style="width:21px;">12</td>
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<td style="width:21px;">13</td>
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<td style="width:21px;">14</td>
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<td style="width:21px;">15</td>
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<td style="width:21px;">16</td>
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<td style="width:21px;">17</td>
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<td style="width:21px;">18</td>
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<td style="width:21px;">19</td>
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<td style="width:21px;">20</td>
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<td style="width:21px;">...</td>
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</tr>
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<tr style="text-align:center;">
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<th>Vigesimal:</th>
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<td style="width:21px;">0</td>
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<td style="width:21px;">1</td>
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<td style="width:21px;">2</td>
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<td style="width:21px;">3</td>
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<td style="width:21px;">4</td>
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<td style="width:21px;">5</td>
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<td style="width:21px;">6</td>
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<td style="width:21px;">7</td>
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<td style="width:21px;">8</td>
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<td style="width:21px;">9</td>
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<td style="width:21px;"><b>A</b></td>
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<td style="width:21px;"><b>B</b></td>
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<td style="width:21px;"><b>C</b></td>
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<td style="width:21px;"><b>D</b></td>
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<td style="width:21px;"><b>E</b></td>
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<td style="width:21px;"><b>F</b></td>
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<td style="width:21px;"><b>G</b></td>
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<td style="width:21px;"><b>H</b></td>
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<td style="width:21px;"><b>J</b></td>
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<td style="width:21px;"><b>K</b></td>
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<td style="width:21px;">10</td>
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<td style="width:21px;">...</td>
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</tr>
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</table>
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<h2>Letters (Base 26)</h2>
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<p>With "Base 26", you use the letters of the alphabet (not 0 to 9).</p>
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<p>Some people start with A=0, B=1, etc. But it seems more natural to use A=1, B=2, etc, as everyone thinks that A is the first letter, B is the second, and so on.</p>
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<p>So I use the A=1, B=2, convention, and I use "Z" for Zero! Like this:</p>
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<table style="border: 0;">
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<tr style="text-align:center;">
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<th>Decimal:</th>
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<td style="width:21px;">0</td>
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<td style="width:21px;">1</td>
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<td style="width:21px;">2</td>
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<td style="width:21px;">3</td>
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<td style="width:21px;">4</td>
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<td style="width:21px;">5</td>
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<td style="width:21px;">6</td>
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<td style="width:21px;">7</td>
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<td style="width:21px;">8</td>
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<td style="width:21px;">9</td>
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<td style="width:21px;">10</td>
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<td style="width:21px;">11</td>
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<td style="width:21px;">12</td>
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<td style="width:21px;">13</td>
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<td style="width:21px;">14</td>
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<td style="width:21px;">15</td>
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<td style="width:21px;">16</td>
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<td style="width:21px;">17</td>
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<td style="width:21px;">18</td>
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<td style="width:21px;">19</td>
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<td style="width:21px;">20</td>
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<td style="width:21px;">21</td>
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<td style="width:21px;">22</td>
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<td style="width:21px;">23</td>
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<td style="width:21px;">24</td>
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<td style="width:21px;">25</td>
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<td style="width:21px;">26</td>
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<td style="width:21px;">27</td>
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<td style="width:21px;">...</td>
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</tr>
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<tr style="text-align:center;">
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<th>Base 26:</th>
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<td style="width:21px;"><b>Z</b></td>
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<td style="width:21px;"><b>A</b></td>
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<td style="width:21px;"><b>B</b></td>
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<td style="width:21px;"><b>C</b></td>
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<td style="width:21px;"><b>D</b></td>
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<td style="width:21px;"><b>E</b></td>
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<td style="width:21px;"><b>F</b></td>
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<td style="width:21px;"><b>G</b></td>
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<td style="width:21px;"><b>H</b></td>
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<td style="width:21px;"><b>I</b></td>
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<td style="width:21px;"><b>J</b></td>
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<td style="width:21px;"><b>K</b></td>
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<td style="width:21px;"><b>L</b></td>
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<td style="width:21px;"><b>M</b></td>
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<td style="width:21px;"><b>N</b></td>
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<td style="width:21px;"><b>O</b></td>
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<td style="width:21px;"><b>P</b></td>
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<td style="width:21px;"><b>Q</b></td>
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<td style="width:21px;"><b>R</b></td>
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<td style="width:21px;"><b>S</b></td>
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<td style="width:21px;"><b>T</b></td>
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<td style="width:21px;"><b>U</b></td>
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<td style="width:21px;"><b>V</b></td>
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<td style="width:21px;"><b>W</b></td>
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<td style="width:21px;"><b>X</b></td>
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<td style="width:21px;"><b>Y</b></td>
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<td style="width:21px;"><b>AZ</b></td>
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<td style="width:21px;"><b>AA</b></td>
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<td style="width:21px;">...</td>
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</tr>
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</table>
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<p>It is fun to use Base 26, type your name in, and see what number you are!</p>
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<p>Also, try putting in decimal values after the ".", for example 0.1 produces "BOOO..."</p>
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<p> </p>
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<div class="related">
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<a href="../base-conversion-method.html">Base Conversion Method</a>
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<a href="../hexadecimals.html">Hexadecimal</a>
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