Properties of
Boolean Algebra
v
Associative Property
-
(X
* Y) * Z = X * (Y * Z)
-
(X
+ Y) + Z = X + (Y + Z)
Truth Table
|
x |
y |
z |
(xy) |
(xy)z |
(yz) |
x(yz) |
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
0 |
1 |
0 |
0 |
0 |
0 |
0 |
|
0 |
1 |
1 |
0 |
0 |
1 |
0 |
|
1 |
0 |
0 |
0 |
0 |
0 |
0 |
|
1 |
0 |
1 |
0 |
0 |
0 |
0 |
|
1 |
1 |
0 |
1 |
0 |
0 |
0 |
|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
