Logical Disjunction - Properties

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 .

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