Identities Flashcards

1
Q

Identity Law for AND

A

1x = x

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2
Q

Identity Law for OR

A

0 + x = x

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3
Q

Null Law for AND

A

0x = 0

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4
Q

Null Law for OR

A

1 + x = 1

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5
Q

Idempotent Law for AND

A

xx = x

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6
Q

Idempotent Law for OR

A

x + x = x

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7
Q

Inverse Law for AND

A

xx’ = 0

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8
Q

Inverse Law for OR

A

x + x’ = 1

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9
Q

Commutative Law for AND

A

xy = yx

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10
Q

Commutative Law for OR

A

x + y = y + x

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11
Q

Associative Law for AND

A

(xy)z = (x + y)(x + z)

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12
Q

Associative Law for OR

A

(x + y) + z = x + (y + z)

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13
Q

Distributive Law for AND

A

x + (yz) = (x + y)(x + z)

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14
Q

Distributive Law for OR

A

x(y + z) = xy + xz

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15
Q

Absorption Law for AND

A

x(x + y) = x

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16
Q

Absorption Law for OR

A

x + xy = x

17
Q

DeMorgan’s Law for AND

A

(xy)’ = x’ + y’

18
Q

DeMorgan’s Law for OR

A

(x + y)’ = x’y’

19
Q

Double Complement Law for AND

A

x’’ = x

20
Q

Double Complement Law for OR

A

x’’ = x