Properties
commutativity: yes
associativity: yes
distributivity: with various operations, especially with and
| others | ||||||||||||||||||||||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
with biconditional: with material implication: with itself: |
idempotency: yes
monotonicity: yes
truth-preserving: yes
When all inputs are true, the output is true.
falsehood-preserving: yes
When all inputs are false, the output is false.
Walsh spectrum: (3,-1,-1,-1)
Nonlinearity: 1 (the function is bent)
If using binary values for true (1) and false (0), then logical disjunction works almost like binary addition. The only difference is that, while .
Read more about this topic: Logical Disjunction
Famous quotes containing the word properties:
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)