Questions and Answers
What is the Boolean addition?
X = A + B
What is the Boolean multiplication?
X = AB
What is the commutative law of addition?
A + B = B + A
What is the commutative law of multiplication?
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What is the associative law of addition?
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What is the associative law of multiplication?
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What is the distributive law?
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What are equivalent circuits?
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What is A * ______ equal to?
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What is ______ * 1 equal to?
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What is ______ + 0 equal to?
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What is A + ______ equal to?
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What is ______ * ______ equal to?
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What is ______ + ______ equal to?
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Study Notes
Leges e Regulas de Algebra Booleane
- Addition booleane: X = A + B, representa la operation de addition in algebra booleane.
- Multiplication booleane: X = AB, representa la operation de multiplication in algebra booleane.
Leges Commutative
- Lege commutative de addition: A + B = B + A, indica que le order de addendos non afecta le resultato.
- Lege commutative de multiplication: AB = BA, indica que le order de factores non afecta le producte.
Leges Associative
- Lege associative de addition: A + (B + C) = (A + B) + C, demonstra que le grouping de addendos non affecta le resultato.
- Lege associative de multiplication: A(BC) = (AB)C, demonstra que le grouping de factores non affecta le producte.
Lege Distributive
- Lege distributive: A(B + C) = AB + AC, permite expandir un expression quando multiplicando per un summe.
Circuite Equivalente
- Circuite equivalente: versiones simplificate de certe circuitos logicos combinatorial, utilizando menos gate.
Regulas Fundamentale
- Regula de zero: A * 0 = 0, multiplicar per zero sempre resulta in zero.
- Regula de uno: A * 1 = A, multiplicar per uno non cambia le valore.
- Regula de nulla: A + 0 = A, addition de zero non cambia le valore.
- Regula de uno: A + 1 = 1, addition de uno resulta in uno, independentemente del valore de A.
- Regula de auto-multiplication: A * A = A, un valore ANDed con se ipse resulta in se ipse.
- Regula de auto-addition: A + A = A, un valore ORed con se ipse resulta in se ipse.
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Description
Explora le fundationes de algebra booleane, inclusiv le addition, multiplication e le leges commutative e associative. Discover le lege distributive e como le circuitos equivalentes functiona in contextos logicos. Un quiz ideal pro student de algebra booleane.
