BOOLEAN EXPRESSION Flashcards

1
Q

Annulment Law

A

A.0 = 0

A + 1 = 1

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2
Q

Identity law

A

A + 0 = A

A.1 = A

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3
Q

Associative Law

A

A + (B + C) = A + B + C

A(B.C) = A.B.C

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4
Q

Absorptive law

A

A + (A.B) = A

A(A + B) = A

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5
Q

Distributive Law

A

A(B + C) = A.B + A.C

A + (B.C) = (A + B).(A + C)

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6
Q

Double Complement Law

A

𝐴̿ = A

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7
Q

Commutative Law

A

A.B = B.A

A + B = B + A

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8
Q

Complement Law

A

A.Ā = 0

A + Ā = 1

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9
Q

Idempotent Law

A

A + A = A

A.A = A

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10
Q

A.0 = 0

A + 1 = 1

A

Annulment Law

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11
Q

A + 0 = A

A.1 = A

A

Identity law

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12
Q

A + (B + C) = ( A + B + C

A(B.C) = A.B.C

A

Associative Law

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13
Q

A + (A.B) = A

A(A + B) = A

A

Absorptive law

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14
Q

A(B + C) = A.B + A.C

A + (B.C) = (A + B).(A + C)

A

Distributive Law

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15
Q

𝐴̿ = A

A

Double Complement Law

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16
Q

A.B = B.A

A + B = B + A

A

Commutative Law

17
Q

A.Ā = 0

A + Ā = 1

A

Complement Law

18
Q

A + A = A

A.A = A

A

Idempotent Law