What is the bipolar input and bipolar output truth table of ANDNOT function

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SUMMARY

The discussion focuses on the bipolar input and output truth table of the AND NOT function, often confused with the NAND operation. Bipolar values are defined as 0 mapping to -1 and 1 mapping to 1. The AND NOT function, or NAND, is clarified as mapping inputs (x, y) to the output $\overline{x \& y}$, resulting in a truth table that outputs 1 for all input pairs except (1, 1), which outputs 0. The importance of providing complete context in queries related to neural networks is emphasized for clarity.

PREREQUISITES
  • Understanding of bipolar logic values (0 to -1, 1 to 1)
  • Familiarity with Boolean algebra and truth tables
  • Knowledge of the NAND function and its representation
  • Basic concepts of neural networks and their operations
NEXT STEPS
  • Research the implementation of the AND NOT gate using an Adaline network
  • Study the properties and applications of bipolar logic in neural networks
  • Explore the differences between NAND and AND NOT functions in detail
  • Learn about truth tables for various logical operations in Boolean algebra
USEFUL FOR

This discussion is beneficial for students and professionals in computer science, particularly those focusing on digital logic design, neural networks, and Boolean algebra.

shivajikobardan
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What is the bipolar input and bipolar output truth table of ANDNOT function
Could you remind the definitions of bipolar output truth table and ANDNOT function?
 
Evgeny.Makarov said:
Could you remind the definitions of bipolar output truth table and ANDNOT function?
I forgot to clarify, bipolar means 0-->-1 and 1------->1 that's it. My confusion is with truth table of AND NOT function. What is its truth table. I have made one above and written books' truth table as well. Could you please clarify that only?
 
shivajikobardan said:
I forgot to clarify, bipolar means 0-->-1 and 1------->1
I have not encountered Boolean algebra with negative values like $-1$ above. If minus is a typo and you meant 0 --> 1 and 1 --> 1, then did you mean a constant function of one argument that is always equal to 1? How is it related to AND NOT?

If by AND NOT you mean NAND, which maps $x$ and $y$ to $\overline{x\&y}$, then it is described in Wikipedia. It maps all pairs of arguments to 1 except (1, 1), which it maps to 0. If I misunderstood your question, please write it more clearly.
 
Evgeny.Makarov said:
I have not encountered Boolean algebra with negative values like $-1$ above. If minus is a typo and you meant 0 --> 1 and 1 --> 1, then did you mean a constant function of one argument that is always equal to 1? How is it related to AND NOT?

If by AND NOT you mean NAND, which maps $x$ and $y$ to $\overline{x\&y}$, then it is described in Wikipedia. It maps all pairs of arguments to 1 except (1, 1), which it maps to 0. If I misunderstood your question, please write it more clearly.
https://www.geeksforgeeks.org/implementing-andnot-gate-using-adaline-network/I got it.
 
Glad you found the answer. Next time please write the complete problem statement and its context in the body of the first message and not only in the thread title. In this case it is essential that the question deals with neural networks.
 
Evgeny.Makarov said:
Glad you found the answer. Next time please write the complete problem statement and its context in the body of the first message and not only in the thread title. In this case it is essential that the question deals with neural networks.
Ok I will write everything in detail from now on. Thank for advice.
 

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