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Boolean Functions and Digital Circuits

 

Combinational logic circuits can be constructed to implement boolean functions.

Consider the boolean function X defined by

X = AB + C

Here, A, B and C are the independent boolean variables. In terms of gates we have the circuit of Figure 18.


  
Figure 18: Gate representation of the function X = AB + C.
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The algebraic expression and the circuit are equivalent representations of the same boolean function.



 
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