Full adder circuit using NAND v NOT, AND, OR v PLA logic

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    Adder Circuit Logic
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SUMMARY

The discussion focuses on the design of a full adder circuit using various logic gate configurations: NOT, AND, OR, NAND, and Programmable Logic Array (PLA). The initial implementation with NOT, AND, and OR gates required a total of 6 chips, while the NAND logic configuration was optimized from 40 to 26 gates, resulting in 7 chips. The PLA configuration proved to be the most efficient, requiring only 4 chips. The user seeks clarification on the benefits of using a single type of chip, such as NAND, compared to a combination of NOT, AND, and OR gates.

PREREQUISITES
  • Understanding of digital logic design principles
  • Familiarity with logic gate types: NOT, AND, OR, NAND
  • Knowledge of Programmable Logic Arrays (PLAs)
  • Basic skills in circuit optimization techniques
NEXT STEPS
  • Research the specifications and capabilities of different PLA ICs
  • Learn about circuit design optimization techniques for full adders
  • Explore the advantages of using NAND gates in digital circuits
  • Investigate the cost-benefit analysis of various logic gate configurations
USEFUL FOR

Electronics engineers, digital circuit designers, and students studying digital logic who are interested in optimizing circuit designs for efficiency and cost-effectiveness.

Bourbon daddy
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I have designed a full adder circuit, first of all implementing NOT, AND, OR logic, then redesigned NAND logic and finally Programmable Logic Array.

I would like to talk evaluate my designs a little and need a bit of help.

When using NOT, AND, OR gates I used the following;

NOT x 3 = 1 chip
AND x 11 = 3 chips
OR x 5 = 2 chips

Total 6 chips required

Using NAND Logic, I think I originally used 40 NAND gates, but reduced it to 26, so 7 chips would be required.

PLA:

NOT x 3 = 1 chip
AND x 7 = 2 chips
OR x 2 = 1 chip

Total 4 chips required.

Obviously, PLA offers the best solution for this scenario regarding efficiency, cost, speed and reliability.

I was wondering if using just one type of chip, such as the NAND offers any benefits to using various types of chip(NOT, AND and OR). If not, am I right in thinking that in this situation, using NAND logic offers no benefits to this circuit over NOT, AND, OR logic.

Regards
 
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Bourbon daddy said:
I have designed a full adder circuit, first of all implementing NOT, AND, OR logic, then redesigned NAND logic and finally Programmable Logic Array.

I would like to talk evaluate my designs a little and need a bit of help.

When using NOT, AND, OR gates I used the following;

NOT x 3 = 1 chip
AND x 11 = 3 chips
OR x 5 = 2 chips

Total 6 chips required

Using NAND Logic, I think I originally used 40 NAND gates, but reduced it to 26, so 7 chips would be required.

PLA:

NOT x 3 = 1 chip
AND x 7 = 2 chips
OR x 2 = 1 chip

Total 4 chips required.

Obviously, PLA offers the best solution for this scenario regarding efficiency, cost, speed and reliability.

I was wondering if using just one type of chip, such as the NAND offers any benefits to using various types of chip(NOT, AND and OR). If not, am I right in thinking that in this situation, using NAND logic offers no benefits to this circuit over NOT, AND, OR logic.

Regards

Why is the PLA solution a multi-chip solution? You should be able to do it all in one PLA IC of some modest size. Which PLA did you target?
 

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