Combination Circuits

Combination circuits are digital circuits that produce outputs based solely on the current input values, without any regard for previous inputs or outputs. These circuits are also known as combinational logic circuits. They consist of logic gates that are interconnected to perform a specific logical function.

Multiplexers

Multiplexers, also known as data selectors, are a type of combinational circuit. They have multiple input lines, one or more control inputs, and a single output line. The control inputs determine which input line is selected and passed through to the output.

Working of a Multiplexer

A multiplexer has 2^n input lines, where n is the number of control inputs. The number of control inputs determines the number of input lines that can be selected. For example, a multiplexer with 2 control inputs can select one of four input lines, while a multiplexer with 3 control inputs can select one of eight input lines.

The control inputs of a multiplexer are typically in binary format. The binary value of the control inputs determines the selected input line. For example, if there are 2 control inputs, the binary values 00, 01, 10, and 11 can be used to select one of the four input lines.

When the control inputs are set to a specific binary value, the selected input line is passed through to the output line. The other input lines are ignored. This functionality makes multiplexers useful for data routing and selection applications.

Applications of Multiplexers

Multiplexers are widely used in digital systems for various applications, including:
- Data routing and selection in communication systems
- Memory address decoding in computer systems
- Logic function implementation
- Arithmetic operations in digital arithmetic circuits

Conclusion

In conclusion, multiplexers are an example of combinational circuits. They have multiple input lines, one or more control inputs, and a single output line. The control inputs determine which input line is selected and passed through to the output. Multiplexers are widely used in digital systems for data routing, memory address decoding, logic function implementation, and arithmetic operations.