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

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Discussion Overview

The discussion revolves around the bipolar input and output truth table of the ANDNOT function, with participants seeking clarification on definitions and the specific truth table associated with this function. The conversation touches on concepts from Boolean algebra and neural networks.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants seek clarification on the definitions of bipolar output truth tables and the ANDNOT function.
  • One participant defines bipolar as mapping 0 to -1 and 1 to 1, expressing confusion regarding the truth table of the AND NOT function.
  • Another participant questions whether the use of -1 is a typo, suggesting that if it were meant to be 0 to 1 and 1 to 1, it could imply a constant function always equal to 1.
  • There is a suggestion that if AND NOT refers to NAND, it maps pairs of arguments to 1 except for (1, 1), which maps to 0.
  • Participants express the need for clearer problem statements and context in future discussions, particularly regarding the relationship to neural networks.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definitions and implications of the ANDNOT function and its truth table. There are competing interpretations regarding the use of negative values in Boolean algebra and the relationship to neural networks.

Contextual Notes

There is uncertainty regarding the use of negative values in the context of Boolean algebra, and the discussion does not resolve whether the term "AND NOT" is correctly interpreted as NAND or another function.

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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