Logic question, 3 input OR to 2 input OR

  • Thread starter Thread starter mathrocks
  • Start date Start date
  • Tags Tags
    Input Logic
Click For Summary

Discussion Overview

The discussion revolves around the conversion of a 3-input OR gate into a configuration using only 2-input OR gates, with additional considerations for using NAND gates and inverters. The scope includes theoretical and practical aspects of digital logic design.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks clarification on how to construct a 3-input OR gate using only 2-input OR gates.
  • Another participant questions the completeness of the problem statement and whether it is for independent work.
  • A later reply suggests that to build a 3-input OR gate, one can cascade two 2-input OR gates, feeding the output of one into the second.
  • One participant proposes that to create a 4-input OR gate, two 2-input OR gates can be fed into a third 2-input OR gate.
  • Another participant mentions that using NAND gates instead of OR gates requires additional inverters and highlights the complexity of achieving the desired OR-OR condition.
  • Some participants express confusion regarding the clarity of the original problem statement.

Areas of Agreement / Disagreement

Participants express differing levels of understanding regarding the problem statement, with some agreeing on the method to cascade OR gates while others highlight potential misunderstandings. The discussion remains unresolved on certain aspects, particularly regarding the clarity of the initial question and the specific requirements for using NAND gates.

Contextual Notes

There are limitations in the clarity of the problem statement, which affects participants' interpretations and responses. The discussion also involves assumptions about the use of additional components like inverters and the implications of cascading gates.

mathrocks
Messages
105
Reaction score
0
Hi, I'm trying to convert a 3 input OR gate using only 2 input OR gates . How exactly will this look like?

Thanks
 
Engineering news on Phys.org
Convert it to what?
 
enigma said:
Convert it to what?

to two 2 input OR Gates
 
I'm sorry. I'm still a little confused what your problem is asking.

Do you have the complete problem statement, or is this for independent work?
 
enigma said:
I'm sorry. I'm still a little confused what your problem is asking.

Do you have the complete problem statement, or is this for independent work?

Ok,

I need to build a 3 input OR gate using only 2 input NAND gates and inverters. The only way to do this is if I build the 3 input OR gate to use 2 input OR gates and then convert that into a NAND.

If you know how to build a 4 input OR gate using only 2 input OR gates that would be helpful also.
 
I think I answered this in another post. Cascade.

This is pretty simple. Draw out the truth table. You can get this result using one cent diodes...

Cliff
 
Simple, ground one input.

KM
 
Kenneth Mann said:
Simple, ground one input.
I believe you read the problem statement incorrectly.

- Warren
 
You're probably right. The original statement isn't very clear. If the author wants to ust (multiple) dual input ORs to create a three input OR, the answer is just as simple. Feed the output of one OR to one input of a second OR. Then, the remaining three inputs comprise a Three Input OR.

KM
 
  • #10
To get a four input OR simply feed two Two input ORs into a third Two input OR. Using three two input NANDs instead of ORs, do the same thing, but put inverters before each NAND input. This requires six (ugh) inverters. The problem using cascaded NANDs is that they automatically give you an AND (first stage)- OR (second stage) condition. What you want is an OR-OR condition. The simplest way to get this would be to feed two NORs into a NAND.

KM
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 27 ·
Replies
27
Views
2K
Replies
8
Views
3K
Replies
55
Views
8K
Replies
2
Views
2K
Replies
4
Views
2K
Replies
3
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
7K