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Etymologie

Was (wer) ist XOR function - definition

TRUE WHEN EITHER BUT NOT BOTH INPUTS ARE TRUE

Xor; XOR function; Exclusive-or; Exclusive OR; XORed; Exclusive nand; XOR; BitXor; Bit xor; Logical inequality; Logical XOR; XOR (logic); Exclusive disjunction; ↮; Ex or; Exclusive Or; Exclusive-Or; EXOR (logic); ⊻; Exclusive-OR; EX-OR; Zhegalkin addition; Zegalkin addition; Žegalkin addition; Gegalkine addition; Gégalkine addition; Shegalkin addition; Schegalkin addition; Жега́лкин addition; ⩒

$binary]] representation. This is also the vector addition in <math>(\Z/2\Z)^4</math>.$

XOR cipher

ENCRYPTION BY SIMPLE EXCLUSIVE-OR LOGIC OPERATIONS

Simple XOR Cipher; Simple XOR cipher; XOR encryption; Xor encryption; Xor cipher

In cryptography, the simple XOR cipher is a type of additive cipher, an encryption algorithm that operates according to the principles:

https://en.wikipedia.org/wiki/XOR_cipher

XOR

¦ noun Electronics exclusive OR.

exclusive or

<logic> (XOR, EOR) /X or, E or/ A two-input Boolean logic function whose result is true if one input is true and the other is false. The truth table is A | B | A xor B --+---+-------- F | F | F F | T | T T | F | T T | T | F The output is thus true if the inputs are not equal. If one input is false, the other is passed unchanged whereas if one input is true, the other is inverted. In Boolean algebra, exclusive or is often written as a plus in a circle: "⊕". The circle may be omitted suggesting addition modulo two. In digital logic, an exclusive or logic gate is drawn like a normal inclusive or gate but with a curved line across both inputs: exclusive or gate (img:http://upload.wikimedia.org/wikipedia/commons/e/e0/XOR.jpg). (2006-12-13)

Wikipedia

Exclusive or

Exclusive or or exclusive disjunction is a logical operation that is true if and only if its arguments differ (one is true, the other is false).

It is symbolized by the prefix operator J and by the infix operators XOR (, , or ), EOR, EXOR, ⊻, ⩒, ⩛, ⊕, $\nleftrightarrow$ , and ≢. The negation of XOR is the logical biconditional, which yields true if and only if the two inputs are the same.

It gains the name "exclusive or" because the meaning of "or" is ambiguous when both operands are true; the exclusive or operator excludes that case. This is sometimes thought of as "one or the other but not both". This could be written as "A or B, but not, A and B".

Since it is associative, it may be considered to be an n-ary operator which is true if and only if an odd number of arguments are true. That is, a XOR b XOR ... may be treated as XOR(a,b,...).

https://en.wikipedia.org/wiki/Exclusive or