3 Input Majority Logic Circuit

In summary, the conversation discusses the implementation of a three input majority logic using only 2-input NAND gates. The goal is to find the simplest solution with the lowest number of NAND gates, preferably less than 6. The conversation also mentions alternative solutions using 2-input open collector NAND gates and resistor OR-ing. It is suggested that this is part of a pre-laboratory assignment and will be implemented in the lab.
  • #1
eren.kizildag
5
0
I want to implement a three input majority logic (when at least two of its inputs are 1, the output will be logic 1) by using only 2-input NAND gates. It is required to find the most simple one, with the lowest number of NAND gates, I could construct one with 6 NAND gates, but does anybody know a much simpler way for this? Or six gates is the simplest one? Any help is appreciated...
 
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  • #2
Is this homework?
 
  • #3
Actually, it is like a homework; it is a part of pre-laboratory which should be designed before coming to lab.. And it will be implemented on lab.
 
  • #4
Using only 2 input nand gates I can't find a solution with less than 6 either.
 
  • #5
Can you use 2-input open collector NAND gates (SN7401's) and resistor OR-ing?
 

What is a 3 Input Majority Logic Circuit?

A 3 Input Majority Logic Circuit is a digital electronic circuit that takes in three inputs and produces an output based on the majority of the inputs. It follows the principle of majority voting, where the output will be 1 if two or three of the inputs are 1, and 0 if one or none of the inputs are 1.

How does a 3 Input Majority Logic Circuit work?

A 3 Input Majority Logic Circuit works by using logic gates, such as AND, OR, and NOT gates, to compare the three inputs and determine the majority. The inputs are compared in pairs, and the output of each pair is then compared to the third input. The final output is determined by the majority of the inputs being 1 or 0.

What are the applications of a 3 Input Majority Logic Circuit?

A 3 Input Majority Logic Circuit is commonly used in digital systems, such as computers and calculators, to perform decision-making tasks. It is also used in error detection and correction systems, as well as in electronic voting systems.

What are the advantages of using a 3 Input Majority Logic Circuit?

The main advantage of a 3 Input Majority Logic Circuit is its simplicity and efficiency. It requires fewer logic gates compared to other types of logic circuits, making it cost-effective and easy to implement. It is also less prone to errors, making it a reliable choice for critical applications.

What are the limitations of a 3 Input Majority Logic Circuit?

One limitation of a 3 Input Majority Logic Circuit is that it can only handle three inputs. If more inputs are needed, multiple circuits would need to be connected, increasing the complexity and cost. It also assumes that all inputs are equally important, which may not always be the case in real-world scenarios.

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