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What is a multiplexer (MUX) and how does it select input signals?

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A multiplexer, often abbreviated as MUX, is a digital electronic device used to select one of several input signals and pass it through to a single output. It is commonly used in digital circuits and systems to efficiently switch between different input sources.

A multiplexer has two main components:

Input Lines: These are the various input signals that you want to select from. The number of input lines determines how many input signals the multiplexer can handle. A multiplexer with "n" input lines can choose between "n" different input signals.

Control Inputs: These inputs determine which input line is selected to be passed through to the output. The number of control inputs depends on the number of input lines. For example, if a multiplexer has 2^n input lines, it will have "n" control inputs.

The selection of input signals is based on binary values applied to the control inputs. Each binary combination of the control inputs corresponds to selecting a specific input line. The binary values are decoded internally to determine which input is active.

Here's a simple example to illustrate the concept. Let's say you have a 2-to-1 multiplexer (2 input lines and 1 output line) with a single control input, labeled as "S" (for selection). The truth table for this multiplexer would look like this:

S    Input A    Input B    Output
0    0    0    0
1    0    1    1

When "S" is 0, the output is connected to Input A, and when "S" is 1, the output is connected to Input B.

For larger multiplexers with more input lines, the truth table and control inputs become more complex, but the fundamental principle remains the same. Multiplexers are often used in combination with other digital components to create more complex logic circuits, such as data selectors, address decoders, and more.

In summary, a multiplexer (MUX) is a digital device that selects one of several input signals and routes it to a single output based on the values of control inputs. It allows for efficient switching and routing of digital data in electronic circuits.
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