shivajikobardan
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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.
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.
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.
Could you remind the definitions of bipolar output truth table and ANDNOT function?What is the bipolar input and bipolar output truth table of 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?Evgeny.Makarov said:Could you remind the definitions of bipolar output truth table and ANDNOT function?
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?shivajikobardan said:I forgot to clarify, bipolar means 0-->-1 and 1------->1
https://www.geeksforgeeks.org/implementing-andnot-gate-using-adaline-network/I got it.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.
Ok I will write everything in detail from now on. Thank for advice.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.