Boolean Algebra Flashcards

1
Q

A v (A^B)

A

A

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2
Q

A ^ 1

A

A

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3
Q

A v 0

A

A

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4
Q

A ^ A

A

A

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5
Q

A v A

A

A

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6
Q

A v !A

A

1

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7
Q

A ^ !A

A

0

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8
Q

!!A

A

A

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9
Q

A ^ 0

A

0

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10
Q

A v 1

A

1

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11
Q

X ^ (Y ^ Z)

A

(X ^ Y) ^ Z
same with or
Operators must be the same
Associative law

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12
Q

X v (X ^ Y)

A

X
Absorption law
Operations must be different

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13
Q

X ^ (X v Y)

A

X
Absorption law
Operations must be different

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14
Q

X ^ (Y v Z)

A

(X ^ Y) v (X ^ Z)
Distributive law

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15
Q

(X ^ Y) v (X ^ Z)

A

X ^ (Y v Z)
Distributive law

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16
Q

X v (Y ^ Z)

A

(X v Y) ^ (X v Z)
Distributive law

17
Q

(X v Y) ^ (X v Z)

A

X v (Y ^ Z)
Distributive law

18
Q

! (!X v !Y)

A

X ^ Y
De Morgan’s law

19
Q

! (!X ^ !Y)

A

X v Y
De Morgan’s law