Canonical Form (Boolean algebra): Boolean Algebra (logic), Boolean Function, Canonical Form - Softcover

 
9786131174162: Canonical Form (Boolean algebra): Boolean Algebra (logic), Boolean Function, Canonical Form
Softcover
ISBN 10: 6131174164 ISBN 13: 9786131174162
Verlag: OmniScriptum, 2010

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In Boolean algebra, any Boolean function can be expressed in a canonical form using the dual concepts of minterms and maxterms. 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 (further definition appears in the sections headed Minterms and Maxterms below). These concepts are called duals because of their complementary-symmetry relationship as expressed by De Morgan''s laws, which state that AND(x,y,z,...) = NOR(x'',y'',z'',...) and OR(x,y,z,...) = NAND(x'',y'',z'',...) (the apostrophe '' is an abbreviation for logical NOT, thus x'' " represents " NOT x ", the Boolean usage " x''y + xy'' " represents the logical equation " (NOT(x) AND y) OR (x AND NOT(y)) "). The 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. "

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In Boolean algebra, any Boolean function can be expressed in a canonical form using the dual concepts of minterms and maxterms. 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 (further definition appears in the sections headed Minterms and Maxterms below). These concepts are called duals because of their complementary-symmetry relationship as expressed by De Morgan''s laws, which state that AND(x,y,z,...) = NOR(x'',y'',z'',...) and OR(x,y,z,...) = NAND(x'',y'',z'',...) (the apostrophe '' is an abbreviation for logical NOT, thus x'' " represents " NOT x ", the Boolean usage " x''y + xy'' " represents the logical equation " (NOT(x) AND y) OR (x AND NOT(y)) "). The 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. "

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Verlag
OmniScriptum
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6131174164
ISBN 13 
9786131174162
Einband
Tapa blanda
Anzahl der Seiten
80
Herausgeber
Surhone Lambert M., Timpledon Miriam T., Marseken Susan F.
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar