Logic Gates (NAND to AND Gates)

  • Thread starter Thread starter desmond iking
  • Start date Start date
  • Tags Tags
    Logic Logic gates
Click For Summary
SUMMARY

The discussion clarifies the logic behind using two NAND gates to construct an AND gate. The input configuration is expressed as ( (XY)' (XY)' ) ', which simplifies to ( (XY)' ) ' and ultimately reduces to XY. This demonstrates that the output of the second NAND gate, which receives the inverted input from the first, confirms the equivalence of the two configurations. Participants agree that both representations lead to the same logical outcome, affirming the functionality of NAND gates in digital logic design.

PREREQUISITES
  • Understanding of basic logic gate operations
  • Familiarity with NAND gate functionality
  • Knowledge of Boolean algebra
  • Concept of logic gate inversion
NEXT STEPS
  • Study the construction of other logic gates using NAND gates
  • Learn about Boolean simplification techniques
  • Explore practical applications of NAND gates in digital circuits
  • Investigate the role of logic gates in computer architecture
USEFUL FOR

Electronics students, digital circuit designers, and anyone interested in understanding the fundamentals of logic gate operations and their applications in computing.

desmond iking
Messages
284
Reaction score
2
couldnt understand why the input is ( (XY)' (XY)' ) ' , IMO , it should be ((XY)' ) ' . because the 2nd logic gates receive (XY)' input from the first logic gates , and the second logic gates act as inverter for the first logic gates.
 

Attachments

  • IMG_20141215_104006[1].jpg
    IMG_20141215_104006[1].jpg
    39.2 KB · Views: 650
Engineering news on Phys.org
I think they did that because the (XY)' is the input to the second gate and both inputs are tied together then they said (XY)'(XY)' and the second gates output is then ( (XY)' (XY)' ) ' which can be reduced to ( (XY)' ) ' and the double negative to simply XY so it shows that two NAND gates can be used to construct an AND gate.
 
  • Like
Likes   Reactions: desmond iking
jedishrfu said:
I think they did that because the (XY)' is the input to the second gate and both inputs are tied together then they said (XY)'(XY)' and the second gates output is then ( (XY)' (XY)' ) ' which can be reduced to ( (XY)' ) ' and the double negative to simply XY so it shows that two NAND gates can be used to construct an AND gate.
Can I say the input is ((XY)' ) ' , which is also can be reduced to XY ?
 
Yes, I believe that's right.
 
  • Like
Likes   Reactions: desmond iking

Similar threads

Why digital electronics section start with analysis of inverter?
  • · Replies 16 ·
Replies
16
Views
2K
Ohmic Resistance and Logic gates
  • · Replies 10 ·
Replies
10
Views
2K
Combination Gates: Understanding NAND & NOR in Physics
  • · Replies 12 ·
Replies
12
Views
2K
Why Don't Wired Logic Gates Produce Physical Second-Level Gates?
  • · Replies 2 ·
Replies
2
Views
2K
Will the bleed resistors enable a shorter path to ground or not?
  • · Replies 80 ·
3
Replies
80
Views
5K
Troubleshooting a Boost Circuit: Voltage Rise & Gate Issues
  • · Replies 4 ·
Replies
4
Views
2K
Getting a High Speed Synchronous N-Channel MOSFET Driver working right
  • · Replies 39 ·
2
Replies
39
Views
6K
XAND Gate: Is it Real or Just a Rumor?
  • · Replies 8 ·
Replies
8
Views
8K
Undergrad Why NAND & NOR Gates are Necessary for LATCH Circuits
  • · Replies 3 ·
Replies
3
Views
2K
Compact Logic Gate Options for Efficient Circuit Design
  • · Replies 16 ·
Replies
16
Views
3K