BOOLE Flashcards

1
Q

Asociativa (def)

A

x+(y+z)=(x+y)+z
(x⋅y)⋅z=x⋅(y⋅z)

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2
Q

Identidad (def)

A

x+0A=x
x⋅1A=x

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3
Q

Conmutativa (def)

A

x+y=y+x
x⋅y=y⋅x

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4
Q

Distributiva (def)

A

x+(y⋅z)=(x+y)⋅(x+z)
x⋅(y+z)=x⋅y+x⋅z

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5
Q

Complementario (def)

A

x+x¯¯¯=1A
x⋅a¯¯¯=0A

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6
Q

Absorción (prop)

A

x+(x⋅y)=x
x⋅(x+y)=x

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7
Q

Idempotencia (prop)

A

x+x=x
x⋅x=x

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8
Q

Dominancia (prop)

A

x+1=1
0⋅x=0

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9
Q

De Morgan (prop)

A

(x+y¯¯¯¯¯¯¯¯¯¯¯)=x¯¯¯⋅y¯¯¯
x⋅y¯¯¯¯¯¯¯¯¯=x¯¯¯+y¯¯¯

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10
Q

Involución (prop)

A

x¯¯¯^¯¯¯=x

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11
Q

Propiedades de bool

A
  1. Absorción
  2. Idempotencia
  3. Dominancia
  4. Dominancia
  5. Involución
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12
Q

Definición de bool

A
  1. Asociativa
  2. Identidad
  3. Conmutativa
  4. Distributiva
  5. Complementario
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