Boolean algebra Flashcards by Cat Unknown

Q

A.1 =

A

A

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Q

A + 0 =

A

A

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Q

A . A =

A

A

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Q

A + A =

A

A

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Q

A + ¬A =

A

0

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Q

A . ¬A =

A

0

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Q

¬¬A =

A

A

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Q

A . 0 =

A

0

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Q

A + 1 =

A

1

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Q

Commutative law

A

X . Y = Y . X

X + Y = Y + X

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Q

Associative law

A

X. (Y . Z) = (X . Y) . Z

X + (Y + Z) = (X + Y) + Z

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Q

Absorption law

A

X + (X . Y) = X

X . ( X + Y) = X

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Q

Distributive law

A

X . (Y + Z) = (X.Y) + (X .Z)

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Q

De Morgan’s laws

A

X .Y = ¬(¬X + ¬Y)

X + Y = ¬(¬X . ¬Y)

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