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A multiplexer (MUX) can be used to implement a Boolean function by selecting the appropriate input lines based on the control inputs. This method is efficient and reduces the complexity of the circuit.
Example
Let's implement the Boolean function ( F(A, B, C) = \Sigma(0, 1, 4, 6, 7) ) using a 4-to-1 multiplexer.
Steps:
Identify Variables: For the given function ( F(A, B, C) ), we have three variables: A, B, and C.
Select Lines: Choose A and B as the select lines.
Input Lines: The input lines will be determined by the variable C.
Truth Table:
| A | B | C | F | |---|---|---|---| | 0 | 0 | 0 | 1 | | 0 | 0 | 1 | 1 | | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 1 | | 1 | 0 | 0 | 1 | | 1 | 0 | 1 | 0 | | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 1 |
MUX Configuration:
Select Lines: A and B
Data Inputs: ( D_0 = C' ) ( D_1 = C ) ( D_2 = C' ) ( D_3 = C )
Implementation:
Implementation of boolean function in multiplexer | Solved Problems
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Multiplexers - GeeksforGeeks
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