Building a 128-to-1 Multiplexer with 8-to-1s and 2-to-1s

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Discussion Overview

The discussion revolves around the construction of a 128-to-1 multiplexer using 8-to-1 multiplexers and a 2-to-1 multiplexer. Participants are exploring how to represent the output of this configuration as a function of selection switches, specifically seeking to create a truth table or boolean equation for the outputs based on the selection inputs.

Discussion Character

  • Technical explanation
  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant describes their configuration of 16 8-to-1 multiplexers and one 2-to-1 multiplexer, assuming it is correct and seeking assistance in tabulating the output based on selection switches.
  • Another participant questions whether the original poster is looking to convert an 8-bit binary number to manipulate the multiplexers and suggests using EPROMS for this purpose.
  • A different participant expresses the need for the specific inputs of the multiplexers to determine the output, indicating that without this information, they cannot provide a boolean equation or further assistance.
  • There is a request for a method to simplify the boolean equation for the cascading multiplexers, as the original poster has seen simpler examples for smaller multiplexers but not for the larger configuration.

Areas of Agreement / Disagreement

Participants have not reached a consensus. There are differing interpretations of the original poster's question, with some focusing on the output representation and others on the input requirements. The discussion remains unresolved regarding the specific outputs and the method to derive them.

Contextual Notes

Limitations include the lack of information about the specific inputs to the multiplexers, which is necessary for determining the outputs. The discussion also highlights the complexity of creating a truth table or boolean equation for a large multiplexer configuration.

matticus1181
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Hi, new to the forums here. I'm looking for some help with multiplexers. I've created a 128-to-1 multiplexer with 8-to-1 multiplexers and one 2-to-1. Basically I have 16 8 to 1 in the first batch, 2 8 to 1 in the second and then a 2 to 1 to combine the last two. I'm assuming that's correct.
Here's my question. I need to tabulate the output as a function of the selection switches. Does anyone know how to do that? I've seen some truth like tables for 2 selection switches for a 4 to 1, but nothing this big. I'm assuming that I have to have 7 selection switches as 128 is 2^7. Please help! Thanks!
 
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Not 100% sure what you want to do. Are you looking for a way to convert an 8-bit 0-127 binary number (to select a channel) to manipulate your cascade of MUX's the way you want to select said input? If so, I'd suggest using one or more EPROMS.
 
What I'm really after is a boolean equation to represent the output of all the cascading MUX's. I've seen ones for a 4-to-1, but never one so big. Is there a way to simplify it?
 
Since you have not told me what the inputs of the MUX's are there is no way I can tell you the output. I would gather that the assumption in my previous post is correct. But unless I know what the input on each channel is (all 128) there is no way I can tell you the output. Exactly what is it that you are trying to do? Tell us the big picture.
 

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