• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
A + B + C
A + B + C

... In POS standard form, every variable in the domain must appear in each sum term of the expression. You can expand a nonstandard POS expression to standard form by adding the product of the missing variable and its complement and applying rule 12, which states that (A + B)(A + C) = A + BC. Convert X ...
Document
Document

...  The duality principle is formed by replacing AND with OR, OR with AND, 0 with 1, 1 with 0, variables and complements are left unchanged.  de Morgan’s laws Allow us to convert between types of gates; we can generalize them to n variables: ...
Document
Document

...  The duality principle is formed by replacing AND with OR, OR with AND, 0 with 1, 1 with 0, variables and complements are left unchanged.  de Morgan’s laws Allow us to convert between types of gates; we can generalize them to n variables: ...
1. Binary operators and their representations
1. Binary operators and their representations

...  Boolean algebra is the basic mathematics needed for logic design of digital systems; Boolean algebra uses Boolean (logical) variables with two values (0 or ...
Deriving the Formula for the Sum of a Geometric Series
Deriving the Formula for the Sum of a Geometric Series

... chunks", I promise to supply the formula for the sum of a geometric series and the mathematical derivation of it. Here it is. Consider a sum of terms each of which is a successively higher power of a number or an algebraic quantity represented by a variable: 1 + x + x 2 + ... + x n . Note that the f ...
Chapter5
Chapter5

Chapter 3.5
Chapter 3.5

Lecture #3
Lecture #3

< 1 ... 6 7 8 9 10

Canonical normal form

In Boolean algebra, any Boolean function can be put into the canonical disjunctive normal form (CDNF) or minterm canonical form and its dual canonical conjunctive normal form (CCNF) or maxterm canonical form. Other canonical forms include the complete sum of prime implicants or Blake canonical form (and its dual), and the algebraic normal form (also called Zhegalkin or Reed–Muller).Minterms are called products because they are the logical AND of a set of variables, and maxterms are called sums because they are the logical OR of a set of variables. These concepts are dual because of their complementary-symmetry relationship as expressed by De Morgan's laws.Two dual canonical forms of any Boolean function are a ""sum of minterms"" and a ""product of maxterms."" The term ""Sum of Products"" or ""SoP"" is widely used for the canonical form that is a disjunction (OR) of minterms. Its De Morgan dual is a ""Product of Sums"" or ""PoS"" for the canonical form that is a conjunction (AND) of maxterms. These forms can be useful for the simplification of these functions, which is of great importance in the minimization or other optimization of Boolean formulas in general and digital circuits in particular.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report