XOR is operator logic wich means "eXclusive OR". This operator is very used in cryptography, and is highly used in symmetrical cryptography.
Its table of truth for a binary mode is :
| a | b | a XOR b |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 1 | 0 |
| 1 | 0 | 1 |
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Some operating proprieties[]
a XOR b = c => c XOR b = a
a XOR b = b XOR a
a XOR b = NOT ( a <=> b ) = NOT ( a => b AND b => a) = NOT( (NOT a AND b) AND (NOT b AND a) )
= (a OR b) AND (NOT a OR NOT b)