exclusive

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, ⊻, ⩒, ⩛, ⊕,






{\displaystyle \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,...).

You do not have permission to view the full content of this post. Log in or register now.
  • P
    3

    PHC-SeKai

    Forum Veteran From My Name
    • Posts
      3,292
    • Solutions
      26
    • Reaction
      18,332
    • Points
      238
  • S
    2

    SeKai

    Honorary Poster From PH Corner
    • Posts
      554
    • Reaction
      5,347
    • Points
      112
  • M
    1

    masterrjosh

    Leecher
    • Posts
      7
    • Reaction
      12
    • Points
      62
  • H
    1

    Hapahopi

    Eternal Poster
    • Posts
      1,951
    • Solutions
      1
    • Reaction
      479
    • Points
      123
  • D
    1

    DOMOo

    Eternal Poster
    • Posts
      1,310
    • Solutions
      1
    • Reaction
      52,275
    • Points
      183
  • T
    1

    tamagoyaki21

    Enthusiast From CALABARZON
    • Posts
      127
    • Reaction
      56
    • Points
      95
  • W
    1

    White Void

    Honorary Poster 25 From manila
    • Posts
      566
    • Reaction
      209
    • Points
      125
  • F
    1

    fuzzyfuzz

    Leecher
    • Posts
      11
    • Reaction
      424
    • Points
      95
  • T
    1

    Toshinori Yagi

    Eternal Poster
    • Posts
      1,354
    • Reaction
      213
    • Points
      138
  • J
    1

    jin aian lui

    Addict 35 From Manila, Philippines
    • Posts
      228
    • Reaction
      1,310
    • Points
      160
  • F
    1

    Freenet Man

    Honorary Poster
    • Posts
      590
    • Reaction
      1,433
    • Points
      128
  • E
    1

    ElenaDrake -OFFICIAL-

    Addict
    • Posts
      432
    • Reaction
      1,074
    • Points
      138
  • V
    1

    vanAstrea

    Honorary Poster
    • Posts
      773
    • Reaction
      224
    • Points
      93
  • P
    1

    pochamac

    Journeyman 31
    • Posts
      94
    • Reaction
      9
    • Points
      54
  • S
    1

    starsgreen

    Enthusiast
    • Posts
      179
    • Reaction
      1,118
    • Points
      162
  • P
    1

    PHC-SuperCraig

    Enthusiast 19
    • Posts
      196
    • Reaction
      369
    • Points
      122
  • D
    1

    DANocturnal

    Honorary Poster
    • Posts
      599
    • Reaction
      266
    • Points
      140
  • Y
    1

    young14boy

    Addict 25
    • Posts
      338
    • Reaction
      154
    • Points
      115
  • D
    1

    domdee71

    Eternal Poster
    • Posts
      1,766
    • Reaction
      2,223
    • Points
      195
  • Top