Embark on a journey of knowledge! Take the quiz and earn valuable credits.
Challenge yourself and boost your learning! Start the quiz now to earn credits.
Unlock your potential! Begin the quiz, answer questions, and accumulate credits along the way.
What is Algebraic Normal Form mean?
In Boolean algebra, the algebraic normal form (ANF), ring sum normal form (RSNF or RNF), Zhegalkin normal form, or Reed–Muller expansion is a way of writing logical formulas in one of three subforms:
The entire formula is purely true or false:10One or more variables are ANDed together into a term, then one or more terms are XORed together into ANF. No NOTs are permitted:a ⊕ b ⊕ ab ⊕ abcor in standard propositional logic symbols: a ⊻ b ⊻ ( a ∧ b ) ⊻ ( a ∧ b ∧ c ) {\displaystyle a\veebar b\veebar \left(a\wedge b\right)\veebar \left(a\wedge b\wedge c\right)} The previous subform with a purely true term:1 ⊕ a ⊕ b ⊕ ab ⊕ abcFormulas written in ANF are also known as Zhegalkin polynomials (Russian: полиномы Жегалкина) and Positive Polarity (or Parity) Reed–Muller expressions (PPRM).
referencePosted on 30 Oct 2024, this text provides information on Miscellaneous in Academic & Science related to Academic & Science. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
Turn Your Knowledge into Earnings.
Ever curious about what that abbreviation stands for? fullforms has got them all listed out for you to explore. Simply,Choose a subject/topic and get started on a self-paced learning journey in a world of fullforms.
Write Your Comments or Explanations to Help Others