## 8:1 MUX Truth Table and Equation

A multiplexer (MUX) is a digital circuit that selects one of several input signals and routes it to a single output. The 8:1 MUX is a type of multiplexer that has eight input signals and one output signal. The MUX is controlled by three select lines, which are used to select which input signal is routed to the output. The truth table for an 8:1 MUX is shown below. The truth table shows the output of the MUX for all possible combinations of the select lines. | Select Lines | Input 1 | Input 2 | Input 3 | Input 4 | Input 5 | Input 6 | Input 7 | Input 8 | Output | |---|---|---|---|---|---|---|---|---|---| | 000 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | | 001 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | | 010 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 3 | | 011 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 4 | | 100 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 5 | | 101 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 6 | | 110 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 7 | | 111 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 8 | The equation for an 8:1 MUX is given below. ``` Y = S3S2S1X1 + S3S2S0X2 + S3S1S0X3 + S3S0X4 + S2S1S0X5 + S2S0X6 + S1S0X7 + X8 ``` where: * Y is the output of the MUX * X1-X8 are the input signals * S3, S2, and S1 are the select lines The 8:1 MUX is a versatile circuit that can be used in a variety of applications. For example, it can be used to select between multiple data sources, to control a multiplexed display, or to implement a digital switch. ## Conclusion The 8:1 MUX is a powerful circuit that can be used to implement a variety of digital logic functions. By understanding the truth table and equation for an 8:1 MUX, you can use this circuit to solve a variety of problems in digital electronics.Truth Table Of A 8 To 1 Multiplexer

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