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Application example. That addition, admittedly, reads more like an engineering text, departing from the dry academic tone of the first part. I think it's a useful thing to do here even if it is a change of tone, but I did tone down the most colorful image (lemon/lemonade). I'm definitely a beginner at Wiki-ing, so I hope it's not ill-mannered to have removed the front notes about tone and citations (having addressed both issues to some extent).
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I don't care much what the new title would be. Fact is that while CDNF and CCNF are similar, they are not the same. A redirect should go to an article that is a synonym, or a wider article that contains information about the subject that was redirected from. CDNF is not more abstract/wider than CCNF
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This article covers the canonical disjunctive and conjunctive normal forms in
Boolean algebra, which are very similar in a deep sense (they are dual). The article title was recently changed to "canonical normal form", which is too vague: there are lots of canonical normal forms: in Unicode, in game
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I don't know for sure, but maybe because classical
Boolean algebra is performed as conventional arithmetic on variables assigned a restricted set of values { 0, 1 }, the terms "conjunctive" and "disjunctive" from set theory/logic don't apply. As I go through this, I observe that the sign " + " is a
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I've tried to respond to the editors' desire for expansion and clarification, plus all the issues raised in readers' posts. My viewpoint, as one of the designers of the Apollo
Guidance Computer, is to pursue two goals. The first is of course the academic definition of canonical form, minterms, and
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First, thanks to Jwh335 for his careful and systematic editing, including standardization of table formats. I put in an expanded section title where he expressed uncertainty. As to whether it reads like an encyclopedic article, I think I preserved the original style up to my major addition of the
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The fact that every
Boolean expression can be written in both forms holds in an arbitrary Boolean algebra, because it follows from Boolean algebra (uncountable). I will remove the definite article, change the link, and edit the article so it also mentions the terms that mathematicians use:
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I've been taught that theres a standard way to number minterms, and I was wondering if everyone numbers minterms the same way - and if so, then how exactly is it determined. I know one format we use for four variables, but it may not be the only way. Does anyone know about this?
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or the other way around and they are not the same thing, and redirecting one to the other suggested otherwise. I think it could even be redirected to "Canonical disjunctive and conjunctive normal form" or something like that.
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I would think that would be a sufficient explanation of a synonym used. There is a lot of explanation of the concepts elsewhere in the article. I don't know what you're expecting to be present in the article.
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theory, in computer algebra, etc. Perhaps the article should be entitled "canonical normal form (Boolean algebra)". But in that case, it should cover all the canonical forms in
Boolean algebra. --
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i'v replaced ...a
Boolean function that is composed of standard logical operators... with ...any boolean function... since any boolean function can be expressed as pos/sop.
885:. This needs more research. I have pdf cc's of some old stuff downloaded from googlebooks.com (Boole, Venn, etc). Maybe I can find something of historical import. Bill
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on
Knowledge. If you would like to support the project, please visit the project page, where you can get more details on how you can help, and where you can join the
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The main problem with the overall tone is that it reads as if one is being instructed through a how to article. I will see what I can do to revise this.
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i'v also added a section about non cannonical sop.pos forms. since they both refer here i feel it is important to have a section about them.
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For computer logic design, in my experience, numbering goes like the "indexing minterms" section says. It's a logical definition IMO. -
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Ok, its fine now. I just expected that you wouldn't have to scour the article to find something about a term that links to the page.
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This article is inaccurate, as there are more canonical forms than conjunctive and disjunctive normal forms. For example, there is
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If both "sum of products" and "product of sums" redirects here, this page should have some discussion at *least* about the terms.
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Thus the sum of products canonical form in
Boolean algebra looks like DNF but isn't really quite the same thing
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A terrible description of canonical form. Do some research and figure out what canonical form really is please.
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Ok, I read closer. I saw each term mentioned once. No explanation about what either of them mean.
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It'd probably help to put them in the head. SoP and PoS seem to be pretty commonly used. -
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is an arbitrary
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This article is just wrong: there are no canonical CNF or DNF! Only ANF is canonical.
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