Author: M Abo Bakar Aslam

2x1 Multiplexer (MUX)

A 2x1 Multiplexer (MUX) is the simplest form of a multiplexer that selects one of two input signals and forwards it to a single output line. The selection of input is controlled by a single selection line.

1. Truth Table - 2x1 Multiplexer

Suppose inputs are Input-0 and Input-1 and selection line is S. The outputs are represented as out-0 and out-1.
Total Number of Rows = 2^(number of selection lines) = 2¹ = 2
InputsSelection (S)Output
Input-0, Input-10Input-0 → out-0
Input-0, Input-11Input-1 → out-1

2. Boolean Expression for Output

As there is only one output, we will derive its Boolean expression.

Output = out-0 OR out-1

Output = out-0 + out-1

Output = Input-0 S' + Input-1 S

3. Circuit Diagram

a. Using Basic Gates

The circuit diagram of 2x1 MUX can be implemented using AND, OR, and NOT gates.

Circuit Diagram for 2x1 MUX using basic gates - visualized by edu2skill.com
Figure 2: Circuit Diagram for 2x1 MUX using basic gates

b. Block Diagram Representation

Multiplexer is commonly represented using a block diagram.

2x1 Multiplexer Block Diagram - visualized by edu2skill.com
Figure 3: 2x1 Multiplexer Block Diagram