How to Convert AND/OR Circuits to NAND/NAND Using Only NAND and NOT Gates?

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SUMMARY

This discussion focuses on converting AND/OR circuits into NAND/NAND configurations using only NAND and NOT gates for driving a 7-segment LED. The key method involves utilizing a simple NAND truth table and breaking down multi-input AND gates into combinations of two-input NAND gates. Specifically, a 3-input AND can be represented by cascading two 2-input AND gates, while a 4-input AND can be constructed using three 2-input AND gates. This approach simplifies the circuit design process.

PREREQUISITES
  • Understanding of digital logic gates, specifically NAND and NOT gates.
  • Familiarity with truth tables and Karnaugh maps for circuit simplification.
  • Knowledge of circuit design principles, particularly for multi-input gates.
  • Experience with 7-segment LED configurations and their control logic.
NEXT STEPS
  • Study the principles of digital logic design using only NAND gates.
  • Learn how to construct truth tables for complex circuits.
  • Research techniques for simplifying circuits using Karnaugh maps.
  • Explore practical applications of NAND gate circuits in LED driving configurations.
USEFUL FOR

Electronics engineers, digital circuit designers, and students studying digital logic who need to understand the conversion of AND/OR circuits to NAND/NAND configurations.

mathrocks
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I have to make a circuit using only NAND and NOT gates to drive a 7 segment LED. My problem is that after I make the truth table and draw the karnaugh maps I of course end up with a AND/OR circuit...how exactly can I convert the AND/OR to a NAND/NAND. Also, how can I break up the 3 and 4 input AND gates to 2 input NAND gates.

I really need help with this, I've been racking my brain trying to figure this out.

Thanks a lot!
 
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Ok, think of this. Take a simple NAND truth table.

NOT the output. You get ________

NOT the two inputs. You get ________

A 3 input AND can be 2 inputs into an AND with output fed into another AND along with the third input. A four input, use three ANDs. Etc.

If you draw it out I believe its that simple.

Cliff
 

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