U.S. flag   An unofficial archive of your favorite United States government website
Dot gov

Official websites do not use .rip
We are an unofficial archive, replace .rip by .gov in the URL to access the official website. Access our document index here.

Https

We are building a provable archive!
A lock (Dot gov) or https:// don't prove our archive is authentic, only that you securely accessed it. Note that we are working to fix that :)

This is an archive
(replace .gov by .rip)
A  |  B  |  C  |  D  |  E  |  F  |  G  |  H  |  I  |  J  |  K  |  L  |  M  |  N  |  O  |  P  |  Q  |  R  |  S  |  T  |  U  |  V  |  W  |  X  |  Y  |  Z

exclusive-OR

Abbreviation(s) and Synonym(s):

eXclusive OR
Exclusive OR
Exclusive-or
XOR

Definition(s):

  Exclusive-OR operation.
Source(s):
FIPS 197 under XOR
FIPS 197 under ⊕

  Bitwise logical “exclusive-or”, where 0⊕ 0 = 0, 0⊕ 1 = 1, 1⊕ 0 = 1, and 1⊕ 1 = 0. For example: 01101⊕ 11010 = 10111.
Source(s):
NIST SP 800-106 under ⊕

  Bit-wise exclusive-or. A mathematical operation that is defined as: 0⊕ 0 = 0 0⊕ 1 = 1 1⊕ 0 = 1 , and 1⊕ 1 = 0
Source(s):
NIST SP 800-133 [Superseded] under ⊕

  A bitwise logical operation such that 1⊕ 1 = 0, 1⊕ 0 = 1, 0⊕ 0 = 0, and 0⊕ 1 = 1. For example, given a string A = 10 and a string B = 11, then A⊕ B = (1⊕ 1) || (0⊕ 1) = 01.
Source(s):
NIST SP 800-135 Rev. 1 under ⊕

  A XOR B is equivalent to A ⊕ B. See the definition of the bitwise logical operation ⊕ above.
Source(s):
NIST SP 800-135 Rev. 1 under XOR

  The bit-by-bit modulo 2 addition of binary vectors of equal length.
Source(s):
NIST SP 800-20 under Exclusive-OR
NIST SP 800-67 Rev. 2 under Exclusive-OR
NIST SP 800-67 Rev. 1 [Superseded] under Exclusive-OR

  The bitwise addition, modulo 2, of two bit strings of equal length.
Source(s):
NIST SP 800-38A under Exclusive-OR
NIST SP 800-38B under Exclusive-OR
NIST SP 800-38C under Exclusive-OR
NIST SP 800-38D under Exclusive-OR
NIST SP 800-38F

  Exclusive-OR.
Source(s):
NIST SP 800-38D under XOR

  A mathematical operation; the symbol⊕, defined as: 0⊕ 0 = 0 1⊕ 0 = 1 0⊕ 1 = 1 1⊕ 1 = 0 Equivalent to binary addition without carry.
Source(s):
NIST SP 800-90A Rev. 1 under Exclusive-or

  Exclusive-Or (XOR) operation, defined as bit-wise modulo 2 arithmetic with no carry.
Source(s):
NIST SP 800-56B Rev. 2 under Ꚛ

  Bit-wise exclusive-or. A mathematical operation that is defined as: 0 ⊕ 0 = 0, 0 ⊕ 1 = 1, 1 ⊕ 0 = 1, and 1 ⊕ 1 = 0
Source(s):
NIST SP 800-133 Rev.1 [Superseded] under ⊕
NIST SP 800-133 Rev. 2 under ⊕

  Exclusive-Or (XOR) operator, defined as bit-wise modulo 2 arithmetic with no carry.
Source(s):
NIST SP 800-56B Rev. 1 [Superseded] under ⊕