Final answer:
A multiplexer is a logic circuit that selects one of many inputs and routes it to a single output based on the values of its select inputs. The function performed by the multiplexer can be represented using a minimized boolean equation.
Step-by-step explanation:
Multiplexers and Boolean Equations
A multiplexer is a logic circuit that selects one of many inputs and routes it to a single output based on the values of its select inputs. The function performed by the multiplexer can be represented using a minimized boolean equation.
Let's take an example of a 2-to-1 multiplexer. It has two inputs (A and B), one select input (S), and one output (Y). The boolean equation for this multiplexer is: Y = (A AND NOT S) OR (B AND S).
This equation states that the output Y is equal to A AND NOT S OR B AND S, depending on the value of the select input S.