Can someone show me what a 4 to 16 line decoder looks like?

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SUMMARY

This discussion focuses on the design and implementation of a 4 to 16 line decoder using two 3 to 8 line decoders and 16 2-input AND gates. Participants clarify the logic behind using AND gates instead of OR gates in decoder design, emphasizing the importance of understanding min terms. The conversation also highlights the lack of comprehensive online resources for digital design education, with references to specific textbooks like Wakerly's "Digital Design: Principles and Practices" and Kime's work, which some users find inadequate.

PREREQUISITES
  • Understanding of digital logic design principles
  • Familiarity with decoders, specifically 3 to 8 line decoders
  • Knowledge of logic gates, particularly AND and OR gates
  • Experience with K-Maps for simplifying logic expressions
NEXT STEPS
  • Research the design and functionality of 4 to 16 line decoders
  • Study the application of K-Maps in digital circuit design
  • Explore resources for digital design tutorials, focusing on comprehensive guides
  • Review Wakerly's "Digital Design: Principles and Practices" for deeper insights
USEFUL FOR

Students and professionals in computer engineering, digital circuit designers, and anyone seeking to enhance their understanding of decoder logic and digital design principles.

mr_coffee
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Hello everyone, I was wondering if someone could send me a website or a picture that shows what a 4 to 16 line decoder looks like, thanks.
 
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Here's a 2-to-4 http://www.play-hookey.com/digital/decoder_demux_four.html" , but what you'd have for 4 to 16 is basically add two more select lines and more outputs. Do you understand generally how they work? I just had exam over it.
 
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Thanks, yes i understand how they work but I'm confused on how u extend the theory to a 4 to 16 line, they want us to use two 3 to 8 line decoders and 16 2 input AND gates, this is what i came up with...
http://img143.imageshack.us/img143/5981/lastscan8mq.jpg look right? If it doesn't load the first time, hit the refresh button. THe site seems to be laggy
 
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here's how we did it...
 

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ahh i c, thanks a lot EvLer, makes sense to me!
 
actually AND gates in addition to 2 3-to-8 don't make sense to me... if anything, i would expect ORs.
 
Well in a decoder ur not finding the min terms...if u wanted the min terms then i can see why you would want ORs insteed of AND gates, but check this out, page 3 or 4: http://eshop.engineering.uiowa.edu/NI/pdfs/00/51/DS005122.pdf
 
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But that is not in addition to the decoder logic, i.e. the AND(NAND) are used in the logic of the decoder, that i know, but from the description it sounded like they wanted to use 16 gates in addition[/color] to a decoder.
perhaps i am missing something...
 
hah i have no idea either, god i wish there was a site that explained digital design, like this is the only course i can't find on the internet that has like tutorials and explanations, have you found any?
 
  • #10
mr_coffee said:
have you found any?
hmmm... no not really, that play-hookey site that i cited before has some stuff, but it's not that much in depth. So, i just come across random sites :frown: , read my book (Wakerly) and bother my TA's :-p during open lab hours.
edit: but we seem to have similar curriculum as you, guys... where do you go?
 
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  • #11
We have no TA's hah, so I'm **** out of luck. and my book blows, its Kime, which sucks bad, he makes everything so complicated. I got to Penn State for Computer Engineering, u?
 
  • #12
woooow...that does suck...
as far as the book, they have been using Wakerly (3rd ed.) Digital design: Principles and Practices, it's ok... i hardly ever read it though... but we have good lecture notes... and TA's... well we have several... each leads at least one lab and office hours, and the Prof teaching/overseeing it is great. I'm a CompE at Purdue.
 
  • #13
Cool, once i go to main campus next year (right now I'm at a branch, a very small branch) the TA's will be very abundant but for the time being i have to deal with the lack of assistance, oh well.
 
  • #14
mr_coffee said:
hah i have no idea either, god i wish there was a site that explained digital design, like this is the only course i can't find on the internet that has like tutorials and explanations, have you found any?

Actually, I have thought about putting a tutorial on K-Mapping on this forum, but I'm not sure that anyone would be interested. They are a lot more powerful than most people think. Also there is a lot of simple logic behind them.

KM
 
  • #15
Kenneth Mann said:
Actually, I have thought about putting a tutorial on K-Mapping on this forum, but I'm not sure that anyone would be interested. They are a lot more powerful than most people think. Also there is a lot of simple logic behind them.
KM
K-maps aren't bad when you get enough practice with them.
What would be esp. helpful is to show not only "how" but "why" it works. For instance, in my book Gray code is described in a chapter (which we did not cover) totally away from where the K-maps are. So, when it came to numbering of cells, i could not figure out the system ... until i happened to flip through the book out of boredom...and saw the Gray code and all that explanation.
But yeah... a thorough description would be a good idea. And also "where"/"when" they are useful besides when they explicitly say on the test.
 
  • #16
EvLer said:
K-maps aren't bad when you get enough practice with them.
What would be esp. helpful is to show not only "how" but "why" it works. For instance, in my book Gray code is described in a chapter (which we did not cover) totally away from where the K-maps are. So, when it came to numbering of cells, i could not figure out the system ... until i happened to flip through the book out of boredom...and saw the Gray code and all that explanation.
But yeah... a thorough description would be a good idea. And also "where"/"when" they are useful besides when they explicitly say on the test.


Understood! I intend to try if I can, but first, I have to learn a little about how tutorials on this forum are handled, and on that I need some introduction. As example, I see tutorial sections on physics and math, but none on engineering and other subjects. Where would they be handled, and how? Any guidance here would be helpful. (BTW What ever happened to 'spell-check' on this forum?)

KM
 
  • #17
If anyone is interested, I have started a K-Map tutorial thread.

KM
 

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