Sunday, 8 May 2011

logic gates














































 
Logic Circuits
  
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Boolean algebra is ideal for expressing the behavior of logic circuits.
  
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A circuit can be expressed as a logic design and implemented as a collection of individual connected logic gates.
  
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 ../images/main/bulllet_4dots_orange.gifFixed Logic Systems
A fixed logic system has two possible choices for representing true and false.
  
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 ../images/main/bullet_star_pink.gifPositive Logic
In a positive logic system, a high voltage is used to represent logical true (1), and a low voltage for a logical false (0).
  
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 ../images/main/bullet_star_pink.gifNegative Logic
In a negative logic system, a low voltage is used to represent logical true (1), and a high voltage for a logical false (0).
  
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In positive logic circuits it is normal to use +5V for true and 0V for false.
  
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 ../images/main/bulllet_4dots_orange.gifSwitching Circuits
The abstract logic described previously can be implemented as an actual circuit. Switches are left open for logic 0 and closed for logic 1.
  
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 ../images/main/bullet_star_pink.gifTwo variable AND circuit X.Y
  
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../images/digital/boolea_0.gif
  
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 ../images/main/bullet_star_pink.gifTwo variable OR circuit X + Y
  
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../images/digital/boolea_2.gif
  
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 ../images/main/bullet_star_pink.gifFour variable circuit U.V.(X + Y)
  
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../images/digital/boolea7.gif
  
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 ../images/main/bulllet_4dots_orange.gifTruth Table
A truth table is a means for describing how a logic circuit's output depends on the logic levels present at the circuit's inputs.
  
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In the following twos-inputs logic circuit, the table lists all possible combinations of logic levels present at inputs X and Y along with the corresponding output level F.
  
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../images/digital/port.gif
  
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X
Y
F = X*Y
0
0
0
0
1
0
1
0
0
1
1
1
  
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When either input X AND Y is 1, the output F is 1. Therefore the "?" in the box is an AND gate.
  
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