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

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SUMMARY

The discussion centers on constructing a 128-to-1 multiplexer using 16 8-to-1 multiplexers and one 2-to-1 multiplexer. The user seeks assistance in tabulating the output based on selection switches, confirming the need for 7 selection switches since 128 equals 2 raised to the power of 7. Additionally, there is a request for a boolean equation to represent the output of the cascading multiplexers, highlighting the necessity of knowing the inputs for accurate output determination.

PREREQUISITES
  • Understanding of multiplexer design, specifically 8-to-1 and 2-to-1 configurations.
  • Knowledge of binary number representation and selection switch functionality.
  • Familiarity with boolean algebra for simplifying logical expressions.
  • Experience with truth tables and their application in digital logic design.
NEXT STEPS
  • Research how to create truth tables for larger multiplexers, specifically for 128-to-1 configurations.
  • Learn about boolean equation simplification techniques applicable to cascading multiplexers.
  • Explore the use of EPROMS in digital circuit design for managing complex selection logic.
  • Investigate simulation tools for testing multiplexer designs and outputs before physical implementation.
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Electronics engineers, digital circuit designers, and students studying digital logic who are involved in designing and analyzing multiplexer systems.

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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