Boleova algebra izreki

Komutativnost:

x * y =
x v y =
- x * y = y * x
- x v y = y V x
Distributivnost:

x*(y v z) =
- x * (y v z) = (x * y) v (x * z)
- x v (y * z) = (x v y) * (x v z)
Komplement:
x * ~x =
x v ~x =
- x * ~x = 0
- x v *x = 1
Konstanta:
x v 0 =
x * 1 =
- x v 0 = x
- x * 1 = x
Asociativni izrek:
(x * y) * z =
(x v y) v z =
- (x * y) * z = x * (y * z) = x*y*z
- (x v y) v z = x v (y v z) = xvyvz
Konstanta:
x * 0 =
x v 1 =
- x * 0 = 0
- x v 1 = 1
Idempotenca:
x * x =
x v x =
- x * x = x
- x v x = x
Vsebovanost:
x * (x v y) =
x v (x * y) =
- x * (x v y) = x
- x v (x * y) = x
DeMorganov zakon:
~(x * y) =
~(x v y) =
~(x * y * z) =
~(x v y v z) =
- ~(x * y) = ~x v ~y
- ~(x v y) = ~x * ~y
- ~(x * y * z) = ~x v ~y v ~z
- ~(x v y v z) = ~x * ~y * ~z

Author

wolf

348958

Card Set

Boleova algebra izreki

Description

dfs

Updated

2019-10-20T19:57:02Z

Show Answers