Logic gates, inverting output without increasing transistor count

Click For Summary
SUMMARY

The discussion revolves around optimizing logic gate configurations to invert outputs without increasing the transistor count beyond eight. The original expression (A'.(B+C))' was simplified to A+B'.C', and the user explored using a combination of NAND and NOR gates. Ultimately, the user discovered that converting B'.C' to a NOR gate allowed for effective output inversion while maintaining the transistor limit, aided by the development of a truth table for clarity.

PREREQUISITES
  • Understanding of Boolean algebra and logic gate simplification
  • Familiarity with NAND and NOR gate functionalities
  • Knowledge of transistor count implications in circuit design
  • Experience with truth tables for logic function analysis
NEXT STEPS
  • Study the properties and applications of NAND and NOR gates in digital circuits
  • Learn about transistor-level design optimization techniques
  • Explore advanced Boolean algebra simplification methods
  • Investigate truth table construction for complex logic expressions
USEFUL FOR

Electronics students, circuit designers, and anyone interested in optimizing digital logic circuits while minimizing component usage.

sandy.bridge
Messages
797
Reaction score
1

Homework Statement


Hello all,
I have the following logic gates:
(A'.(B+C))' which I had reduced to A+B'.C'. I then want use a NAND gate connected to a NOR gate, then connected to an inverted. However, I have been informed that I need not to use ten transistors, and that 8 can get the job done. How exactly can I invert the output after the NOR gate without the addition of new transistors?
 
Physics news on Phys.org
Can you use an OR gate instead of NOR + NOT?

Otherwise, draw the arrangement you propose using, and you may be able to spot where you can economize on the number of gates.

B'.C' can be converted to a NOR
 
Last edited:
Thanks, I managed to get it. It was a lot more simple upon developing and then utilizing a truth table.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
5K
Replies
10
Views
4K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 7 ·
Replies
7
Views
8K
  • · Replies 1 ·
Replies
1
Views
7K
Replies
9
Views
3K
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
28K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K