For negation in linguistics, see Affirmation and negation. For other uses, see Negation (disambiguation).
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Negation
NOT
Definition
Truth table
Logic gate
Normal forms
Disjunctive
Conjunctive
Zhegalkin polynomial
Post's lattices
0-preserving
no
1-preserving
no
Monotone
no
Affine
yes
v
t
e
Logical connectives
AND
, , , ,
equivalent
, ,
implies
, ,
NAND
, , ,
nonequivalent
, ,
NOR
, ,
NOT
, , ,
OR
, , ,
XNOR
XOR
,
converse
, ,
Related concepts
Propositional calculus
Predicate logic
Boolean algebra
Truth table
Truth function
Boolean function
Functional completeness
Applications
Digital logic
Programming languages
Mathematical logic
Philosophy of logic
Category
v
t
e
In logic, negation, also called the logical not or logical complement, is an operation that takes a proposition to another proposition "not ", standing for " is not true", written , or . It is interpreted intuitively as being true when is false, and false when is true.[1][2] Negation is thus a unary logical connective. It may be applied as an operation on notions, propositions, truth values, or semantic values more generally. In classical logic, negation is normally identified with the truth function that takes truth to falsity (and vice versa). In intuitionistic logic, according to the Brouwer–Heyting–Kolmogorov interpretation, the negation of a proposition is the proposition whose proofs are the refutations of .
An operand of a negation is a negand,[3] or negatum.[3]
^Weisstein, Eric W. "Negation". mathworld.wolfram.com. Retrieved 2 September 2020.
^"Logic and Mathematical Statements - Worked Examples". www.math.toronto.edu. Retrieved 2 September 2020.
^ abBeall, Jeffrey C. (2010). Logic: the basics. The basics (1. publ ed.). London: Routledge. p. 57. ISBN 978-0-203-85155-5.
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depends on the width of the data type. - is negation here, not subtraction - is subtraction here, not negation Online Bitwise Calculator supports Bitwise...
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