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<title>Binary Fingers!</title>
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<h1 class="center">Binary Fingers!</h1>
<p>Forget about counting to 10 on your fingers ... you can count past 1,000 if you want! </p>
<h2>Right Hand</h2><p>With just your right hand you can count to 31:</p>
<div class="center">
<div class="boxa"> <img src="images/hand-0.jpg" width="120" height="116" alt="hand 0" /><br>
No fingers up is <span class="large">0</span></div>
<div class="boxa"><img src="images/hand-1.jpg" width="120" height="116" alt="hand 1" /><br>
Thumb is <span class="large">1</span></div>
<div class="boxa"><img src="images/hand-2.jpg" width="120" height="116" alt="hand 2" /><br>
Index finger is<span class="large"> 2</span></div>
<div class="boxa"><img src="images/hand-3.jpg" width="120" height="116" alt="hand 3" /><br>
2 and 1 <br />
makes <span class="large">3</span></div>
<div class="boxa"><img src="images/hand-4.jpg" width="120" height="116" alt="hand 4" /><br>
Middle finger is <span class="large">4</span></div>
<div class="boxa"><img src="images/hand-5.jpg" width="120" height="116" alt="hand 5" /><br>
Add your thumb<br />
for <span class="large">5</span></div>
<div class="boxa"><img src="images/hand-6.jpg" width="120" height="116" alt="hand 6" /><br>
4 and<br />
2 makes <span class="large">6</span></div>
<div class="boxa"><img src="images/hand-7.jpg" width="120" height="116" alt="hand 7" /><br>
4 and 2 and 1 <br />
makes <span class="large">7</span></div>
<div class="boxa"><img src="images/hand-8.jpg" width="120" height="116" alt="hand 8" /><br>
Fourth finger is <span class="large">8</span></div>
</div>
<table border="0">
<tr>
<td><p>... and continue the pattern:</p>
<ul>
<li>add your thumb (+1) to make 9, </li>
<li>or add your index finger (+2) to make 10</li>
<li>or add thumb (+1) and index finger (+2) to make 11</li>
<li>etc.</li>
</ul>
<div style="clear:both"></div></td>
</tr>
</table>
<p>In fact you are counting in <a href="../binary-number-system.html">Binary</a>:</p>
<div class="simple">
<table border="0" align="center">
<tr>
<td align="center" valign="bottom" bgcolor="#FFFFFF"><b>Number</b></td>
<td align="center" valign="bottom" bgcolor="#FFFFFF"><b>Made by</b></td>
<td colspan="5" align="center" bgcolor="#FFFFFF"><img src="images/hand-right.jpg" width="150" height="156" alt="hand right: 16,8,4,2,1" /></td>
</tr>
<tr>
<td align="center"><b>1</b></td>
<td align="center">1</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
</tr>
<tr>
<td align="center"><b>2</b></td>
<td align="center">2</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
</tr>
<tr>
<td align="center"><b>3</b></td>
<td align="center">2+1</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">up</td>
</tr>
<tr>
<td align="center"><b>4</b></td>
<td align="center">4</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
</tr>
<tr>
<td align="center"><b>5</b></td>
<td align="center">4+1</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
</tr>
<tr>
<td align="center"><b>6</b></td>
<td align="center">4+2</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
</tr>
<tr>
<td align="center"><b>7</b></td>
<td align="center">4+2+1</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">up</td>
<td align="center">up</td>
</tr>
<tr>
<td align="center"><b>8</b></td>
<td align="center">8</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
</tr>
<tr>
<td align="center"><b>9</b></td>
<td align="center">8+1</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
</tr>
<tr>
<td align="center"><b>10</b></td>
<td align="center">8+2</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
</tr>
<tr>
<td align="center"><b>11</b></td>
<td align="center">8+2+1</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">up</td>
</tr>
<tr>
<td align="center"><b>12</b></td>
<td align="center">8+4</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
</tr>
<tr>
<td align="center"><b>13</b></td>
<td align="center">8+4+1</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
</tr>
<tr>
<td align="center"><b>14</b></td>
<td align="center">8+4+2</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">up</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
</tr>
<tr>
<td align="center"><b>15</b></td>
<td align="center">8+4+2+1</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
<td align="center">up</td>
<td align="center">up</td>
<td align="center">up</td>
</tr>
<tr>
<td align="center"><b>16</b></td>
<td align="center">16</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
</tr>
<tr>
<td align="center"><b>17</b></td>
<td align="center">16+1</td>
<td align="center">up</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">up</td>
</tr>
<tr>
<td align="center">&nbsp;</td>
<td align="center">etc....</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
<td align="center">&nbsp;</td>
</tr>
</table>
</div>
<p>Here are some more examples:</p>
<table border="0" style="float:left; margin: 0 10px 5px 0;">
<tr>
<td align="center"><img src="images/hand-26.jpg" width="120" height="116" alt="hand 26" /></td>
</tr>
<tr>
<td align="center">16+8+2 <br />
makes <span class="large">26</span></td>
</tr>
</table>
<table border="0" style="float:left; margin: 0 10px 5px 0;">
<tr>
<td align="center"><img src="images/hand-30.jpg" width="120" height="116" alt="hand 30" /></td>
</tr>
<tr>
<td align="center">16+8+4+2 <br />
makes <span class="large">30</span></td>
</tr>
</table>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<h2>Why?</h2>
<p>So you can count&nbsp;to bigger numbers when you don't have a pencil or paper.</p>
<p>You can also &quot;remember&quot; numbers by holding your fingers in the right way.</p>
<p>Or you can show someone a secret number using just your hand (or hands, see later).</p>
<h2>Your Turn</h2>
<div class="fun">
<p>Practice counting from 0 to 31 on your fingers, just like above.</p>
<p>Do it many times until it becomes easy.</p>
<p>When you can do it well, demonstrate it to your friends!</p>
</div>
<h2>Left Hand</h2>
<p>Want bigger numbers? Your left hand can help:</p>
<p><img src="images/hand-both.jpg" width="297" height="139" alt="hand both: 512,256,128,64,32,16,8,4,2,1" /></p>
<p>Now we can use all 10 fingers to make numbers like these: </p>
<table border="0" style="float:left; margin: 0 10px 5px 0;">
<tr>
<td align="center"><img src="images/hand-34.jpg" width="200" height="97" alt="hand 34" /></td>
</tr>
<tr>
<td align="center">32+2 <br />
makes <span class="large">34</span></td>
</tr>
</table> <table border="0" style="float:left; margin: 0 10px 5px 0;">
<tr>
<td align="center"><img src="images/hand-60.jpg" width="200" height="97" alt="hand 60" /></td>
</tr>
<tr>
<td align="center">32+16+8+4 <br />
makes <span class="large">60</span></td>
</tr>
</table>
<table border="0">
<tr>
<td align="center"><img src="images/hand-803.jpg" width="200" height="97" alt="hand 803" /></td>
</tr>
<tr>
<td align="center">512+256+32+2+1 <br />
makes <span class="large">803</span></td>
</tr>
</table>
<p>And lastly, what happens when all fingers are up? </p>
<table border="0" align="center">
<tr>
<td align="center"><img src="images/hand-1023.jpg" width="240" height="101" alt="hand 1023" /></td>
</tr>
<tr>
<td align="center">512+256+128+64+32+16+8+4+2+1<br />
makes <span class="large">1,023</span></td>
</tr>
</table>
<p>So now you can count just past 1,000 using only 10 fingers. Wow.</p>
<p>Practice this over the next few days ... you will gain a new skill and also find binary much easier to understand.</p>
<p>&nbsp;</p>
<div class="questions">
<script type="text/javascript">getQ(9389, 9390, 9391, 9392, 9393, 9394, 9395, 9396, 9397, 9398);</script>&nbsp;
</div>
<div class="related">
<a href="../binary-digits.html">Binary Digits</a> <a href="../binary-number-system.html">Binary Number System</a> <a href="index.html">Numbers Index</a>
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