boolean algebra Flashcards

(9 cards)

1
Q

identity law:
A + 0 =
A . 1 =

A

A

A

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2
Q

Null laws:
A + 1 =
A . 0 =

A

1

0

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3
Q

idempotent laws:
A + A =
A . A =

A

A

A

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4
Q

Absorption laws:
A + (A . B) =
A . (A + B) =

A

A

A

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5
Q

Commutative laws:
A + B =
A . B =

A

B + A

B . A

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6
Q

complent laws:
A + ¬A =
A . ¬A =

A

1

0

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7
Q

associative laws:
(A + B) + C =
(A . B) . C =

A

A + (B + C)

A . (B . C)

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8
Q

distributive laws:
A . (B + C) =
A + (B . C) =

A

(A . B) + (A . C)

(A + B) . (A + C)

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9
Q

De Morgan’s Laws:
¬(A . B) =
¬(A + B) =

A

¬A + ¬B

¬A . ¬B

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