Team:INSA Toulouse/contenu/project/binary reminder

From 2013.igem.org

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   <h1 class="title1">Binary Reminder</h1>
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   <h1 class="title1">Boolean Logic Based Devices</h1>
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  <h2 class="title2">How to count with binary numbers?</h2>
 
-
 
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  <p class="texte">For those who don’t remember (or who don’t have any idea of) binary courses, a little reminder about binary counting is here for you!</p>
 
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  <img src="https://static.igem.org/mediawiki/2013/5/50/Binary_reminder.png" class="imgcontent" />
 
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<table class="tablecontent">
 
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<tr style="background-color:#20a8da; height:50px; color:#ffffff;" >
 
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<td style="border-bottom:4px solid #e5e6e6; border-top-left-radius:9px;"> </td>
 
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<td style="border-bottom:4px solid #e5e6e6;">Operation</td>
 
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                <td style="border-bottom:4px solid #e5e6e6;"> </td>
 
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<td style="border-bottom:4px solid #e5e6e6; border-top-right-radius:9px;">Result</td>
 
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</tr>
 
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<tr>
 
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<td style="border-right:1px solid #e5e6e6;">Decimal</td>
 
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<td style="border-right:1px solid #e5e6e6;">5</td>
 
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<td style="border-right:1px solid #e5e6e6;">2</td>
 
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<td>7</td>
 
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</tr>
 
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<tr style="border-top:1px solid #e5e6e6">
 
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<td style="border-right:1px solid #e5e6e6; border-top:1px solid #e5e6e6;">Binary</td>
 
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<td style="border-right:1px solid #e5e6e6; border-top:1px solid #e5e6e6;">1 (1*2^2)<br>0 (0*2^1)<br>1 (1*2^0)</td>
 
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<td style="border-right:1px solid #e5e6e6; border-top:1px solid #e5e6e6;">0 (0*2^2)<br>1 (1*2^1)<br>0 (0*2^0)</td>
 
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<td style="border-top:1px solid #e5e6e6;">1 (1*2^2)<br>1 (1*2^1)<br>1 (1*2^0)</td>
 
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</tr>
 
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</table>
 
   <h2 class="title2">What is a logic gate?</h2>
   <h2 class="title2">What is a logic gate?</h2>
<br>
<br>
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   <p class="texteright"><span class="spantitle">AND Gate</span></br>
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<p class="texte">A logic gate is an idealized or physical device implementing a Boolean function. In other terms it performs a logical operation on one or more logical inputs and produces a single logical output <a href="http://en.wikipedia.org/wiki/Logic_gate" target="_blank">(From Wikipedia)</a>. Simply said: logic gates are the devices that perform the boolean logic operations.</p>
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<br>For a AND gate, two inputs are needed to have a result egal 1.<p>
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   <p class="texteleft"><span class="spantitle">AND Gate</span></br>
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<br>For an AND gate, if the two inputs are equal to 1, the result equals 1.<p>
   <img src="https://static.igem.org/mediawiki/2013/2/2a/AND_Gate_-_30%2C5%25.png" class="imgcontentleft" />
   <img src="https://static.igem.org/mediawiki/2013/2/2a/AND_Gate_-_30%2C5%25.png" class="imgcontentleft" />
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   <img src="https://static.igem.org/mediawiki/2013/7/75/AND_Truthtable_-_30%2C5%25.png" class="imgcontentleft" />
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<br>
<br>
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   <p class="texteright"><span class="spantitle">OR Gate</span></br>
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   <p class="texteleft"><span class="spantitle">OR Gate</span></br>
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<br>For a OR gate, one or the other (or both) of the inputs are needed to have a result egal 1.<p>
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<br>For an OR gate, if one or the other (or both) of the inputs are equal to 1, the result equals 1.<p>
   <img src="https://static.igem.org/mediawiki/2013/2/2e/OR_Gate_-_30%2C5%25.png" class="imgcontentleft" />
   <img src="https://static.igem.org/mediawiki/2013/2/2e/OR_Gate_-_30%2C5%25.png" class="imgcontentleft" />
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   <img src="https://static.igem.org/mediawiki/2013/8/8d/OR_Truthtable_-_30%2C5%25.png" class="imgcontentleft" />
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   <img src="https://static.igem.org/mediawiki/2013/8/8d/OR_Truthtable_-_30%2C5%25.png" class="imgcontentright" />
<div class="clear"></div>
<div class="clear"></div>
<br>
<br>
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   <p class="texteright"><span class="spantitle">XOR Gate</span></br>
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   <p class="texteleft"><span class="spantitle">XOR Gate</span></br>
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<br>For a XOR gate, one or the other of the inputs are needed to have a result egal 1 but not both of them.<p>
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<br>For a XOR gate, if one or the other (but not both of them) of the inputs are equal to 1, the result equals 1.<p>
   <img src="https://static.igem.org/mediawiki/2013/7/77/XOR_Gate_-_30%2C5%25.png" class="imgcontentleft" />
   <img src="https://static.igem.org/mediawiki/2013/7/77/XOR_Gate_-_30%2C5%25.png" class="imgcontentleft" />
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   <img src="https://static.igem.org/mediawiki/2013/7/71/XOR_Truthtable_-_30%2C5%25.png" class="imgcontentleft" />
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   <img src="https://static.igem.org/mediawiki/2013/7/71/XOR_Truthtable_-_30%2C5%25.png" class="imgcontentright" />
<div class="clear"></div>
<div class="clear"></div>
<br>
<br>
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  <p class="texteleft"><span class="spantitle">Full Adder</span></br>
 
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<br>This is the truth table of a full adder.<p>
 
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   <img src="https://static.igem.org/mediawiki/2013/6/6e/Table_vérité_addition.png" class="imgcontentright" />
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 +
  <p class="texte"><span class="spantitle">Electronic Full Adder</span></p>
 +
 
 +
  <img src="https://static.igem.org/mediawiki/2013/9/9b/400px-Full_Adder.png" class="imgcontent" />
 +
 
 +
  <p class="texteright450">This is the truth table of a full adder.<p>
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 +
   <img src="https://static.igem.org/mediawiki/2013/5/52/Table_vérité_addition_-_200px.png" class="imgcontentleft" />
<div class="clear"></div>
<div class="clear"></div>
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 +
 +
 +
 +
 +
 +
  <h2 class="title2">How to count with binary numbers?</h2>
 +
 +
  <p class="texte">For those who don’t remember your binary counting courses (or for those who don’t have any idea about binary counting), we provide a little reminder!</p>
 +
 
 +
  <img src="https://static.igem.org/mediawiki/2013/c/c4/Binary_decimal_2.png" class="imgcontent" />
 +
 +
<table class="tablecontent">
 +
 +
<tr style="background-color:#20a8da; height:50px; color:#ffffff;" >
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<td style="border-bottom:4px solid #e5e6e6; border-top-left-radius:9px;"> </td>
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<td style="border-bottom:4px solid #e5e6e6; " colspan = "2">Operation</td>
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<td style="border-bottom:4px solid #e5e6e6; border-top-right-radius:9px;">Result</td>
 +
</tr>
 +
<tr>
 +
<td style="border-right:1px solid #e5e6e6;">Decimal</td>
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<td style="border-right:1px solid #e5e6e6;">5</td>
 +
<td style="border-right:1px solid #e5e6e6;">2</td>
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<td>7</td>
 +
</tr>
 +
<tr style="border-top:1px solid #e5e6e6">
 +
<td style="border-right:1px solid #e5e6e6; border-top:1px solid #e5e6e6;">Binary</td>
 +
<td style="border-right:1px solid #e5e6e6; border-top:1px solid #e5e6e6;">1 (1*2^2)<br>0 (0*2^1)<br>1 (1*2^0)</td>
 +
<td style="border-right:1px solid #e5e6e6; border-top:1px solid #e5e6e6;">0 (0*2^2)<br>1 (1*2^1)<br>0 (0*2^0)</td>
 +
<td style="border-top:1px solid #e5e6e6;">1 (1*2^2)<br>1 (1*2^1)<br>1 (1*2^0)</td>
 +
</tr>
 +
</table>
 +
 +
</div>
</div>

Latest revision as of 21:37, 3 October 2013

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Boolean Logic Based Devices

What is a logic gate?


A logic gate is an idealized or physical device implementing a Boolean function. In other terms it performs a logical operation on one or more logical inputs and produces a single logical output (From Wikipedia). Simply said: logic gates are the devices that perform the boolean logic operations.

AND Gate

For an AND gate, if the two inputs are equal to 1, the result equals 1.


OR Gate

For an OR gate, if one or the other (or both) of the inputs are equal to 1, the result equals 1.


XOR Gate

For a XOR gate, if one or the other (but not both of them) of the inputs are equal to 1, the result equals 1.


Electronic Full Adder

This is the truth table of a full adder.

How to count with binary numbers?

For those who don’t remember your binary counting courses (or for those who don’t have any idea about binary counting), we provide a little reminder!

Operation Result
Decimal 5 2 7
Binary 1 (1*2^2)
0 (0*2^1)
1 (1*2^0)		 0 (0*2^2)
1 (1*2^1)
0 (0*2^0)		 1 (1*2^2)
1 (1*2^1)
1 (1*2^0)

Retrieved from "http://2013.igem.org/Team:INSA_Toulouse/contenu/project/binary_reminder"