BOOLE

Question 1

Asociativa (def)

Answer 1

x+(y+z)=(x+y)+z
(x⋅y)⋅z=x⋅(y⋅z)

Question 2

Identidad (def)

Answer 2

x+0A=x
x⋅1A=x

Question 3

Conmutativa (def)

Answer 3

x+y=y+x
x⋅y=y⋅x

Question 4

Distributiva (def)

Answer 4

x+(y⋅z)=(x+y)⋅(x+z)
x⋅(y+z)=x⋅y+x⋅z

Question 5

Complementario (def)

Answer 5

x+x¯¯¯=1A
x⋅a¯¯¯=0A

Question 6

Absorción (prop)

Answer 6

x+(x⋅y)=x
x⋅(x+y)=x

Question 7

Idempotencia (prop)

Answer 7

x+x=x
x⋅x=x

Question 8

Dominancia (prop)

Answer 8

x+1=1
0⋅x=0

Question 9

De Morgan (prop)

Answer 9

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

Question 10

Involución (prop)

Answer 10

x¯¯¯^¯¯¯=x

Question 11

Propiedades de bool

Answer 11

1. Absorción
2. Idempotencia
3. Dominancia
4. Dominancia
5. Involución

Question 12

Definición de bool

Answer 12

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