Questions and Answers
What is the Identity Law for AND?
What is the Identity Law for OR?
What is the Null Law for AND?
What is the Null Law for OR?
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What is the Idempotent Law for AND?
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What is the Idempotent Law for OR?
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What is the Inverse Law for AND?
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What is the Inverse Law for OR?
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What is the Commutative Law for AND?
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What is the Commutative Law for OR?
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What is the Associative Law for AND?
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What is the Associative Law for OR?
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What is the Distributive Law for AND?
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What is the Distributive Law for OR?
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What is the Absorption Law for AND?
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What is the Absorption Law for OR?
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What is DeMorgan's Law for AND?
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What is DeMorgan's Law for OR?
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Study Notes
Boolean Algebra Laws
- Identity Law - AND: 1A = A indicates that any variable ANDed with 1 remains unchanged.
- Identity Law - OR: 0 + A = A signifies that any variable ORed with 0 remains unchanged.
Null Law
- Null Law - AND: 0A = 0 shows that any variable ANDed with 0 results in 0.
- Null Law - OR: 1 + A = 1 indicates that any variable ORed with 1 will always equal 1.
Idempotent Law
- Idempotent Law - AND: AA = A indicates that ANDing a variable with itself does not change the variable.
- Idempotent Law - OR: A + A = A shows that ORing a variable with itself also does not change the variable.
Inverse Law
- Inverse Law - AND: AA' = 0 demonstrates that a variable ANDed with its complement results in 0.
- Inverse Law - OR: A + A' = 1 signifies that a variable ORed with its complement results in 1.
Commutative Law
- Commutative Law - AND: AB = BA shows that the order of ANDing two variables does not affect the result.
- Commutative Law - OR: A + B = B + A indicates the order of ORing two variables does not affect the result.
Associative Law
- Associative Law - AND: AB(C) = A(BC) states that the grouping of variables in ANDing does not affect the result.
- Associative Law - OR: (A + B) + C = A + (B + C) indicates that the grouping of variables in ORing does not affect the result.
Distributive Law
- Distributive Law - AND: A + BC = (A + B)(A + C) shows how OR distributes over AND.
- Distributive Law - OR: A(B + C) = AB + AC illustrates how AND distributes over OR.
Absorption Law
- Absorption Law - AND: A(A + B) = A demonstrates that a variable can absorb combinations with itself.
- Absorption Law - OR: A + AB = A indicates that a variable can absorb products involving itself.
DeMorgan's Law
- DeMorgan's Law - AND: A'B' = A' + B' reveals the relationship between the complement of a product and the sum of complements.
- DeMorgan's Law - OR: A' + B' = A'B' shows the relationship between the complement of a sum and the product of complements.
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Description
Enhance your understanding of the laws of Boolean Algebra with these flashcards. Each card features a key law, such as the Identity Law, Null Law, and Idempotent Law, along with its definition. Perfect for students looking to master these essential concepts in computer science and mathematics.
