Boolean Algebra Laws Flashcards

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.

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.