Podcast
Questions and Answers
What is the Commutative Law for conjunction in Boolean algebra?
What is the Commutative Law for conjunction in Boolean algebra?
What does the Associative Law state for conjunction?
What does the Associative Law state for conjunction?
Which of the following is part of the Distributive Law?
Which of the following is part of the Distributive Law?
What do Idempotent Laws state in Boolean algebra?
What do Idempotent Laws state in Boolean algebra?
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What does the Identity Law for conjunction state?
What does the Identity Law for conjunction state?
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What do the Complement Laws state?
What do the Complement Laws state?
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What does the Involution Law state?
What does the Involution Law state?
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Which of the following is part of DeMorgan's Laws?
Which of the following is part of DeMorgan's Laws?
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Study Notes
Commutative Laws
- States that the order of operands does not affect the result.
- For AND operation: A ^ B = B ^ A.
- For OR operation: A ˅ B = B ˅ A.
Associative Laws
- Indicates that how operands are grouped does not change the outcome.
- For AND operation: A ^ (B ^ C) = (A ^ B) ^ C.
- For OR operation: A ˅ (B ˅ C) = (A ˅ B) ˅ C.
Distributive Laws
- Demonstrates how AND and OR operations can distribute over each other.
- For AND over OR: A ^ (B ˅ C) = (A ^ B) ˅ (A ^ C).
- For OR over AND: A ˅ (B ^ C) = (A ˅ B) ^ (A ˅ C).
Idempotent Laws
- Show that applying the same operation multiple times yields no change in result.
- For AND operation: A ^ A = A.
- For OR operation: A ˅ A = A.
Identity Laws
- Define how identities for AND and OR do not alter the operand.
- For AND operation: A ^ (A ˅ B) = A.
- For OR operation: A ˅ (A ^ B) = A.
Complement Laws
- Relate an operand with its complement to produce constant results.
- For AND operation: A ^ ¬A = F (false).
- For OR operation: A ˅ ¬A = T (true).
Involution Law
- Explores the effect of double negation.
- States that negating a negation returns the original value: ¬(¬A) = A.
DeMorgan's Laws
- Transforms expressions involving negations of AND and OR operations.
- Negation of AND: ¬(A ^ B) = (¬A) ˅ (¬B).
- Negation of OR: ¬(A ˅ B) = (¬A) ^ (¬B).
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Description
Explore the fundamental rules of Boolean Algebra with these flashcards. Each card presents a key rule, such as Commutative, Associative, and Distributive Laws, along with their definitions. Perfect for quick reviews and enhancing your understanding of Boolean logic.
