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- Signed_zero abstract "Signed zero is zero with an associated sign. In ordinary arithmetic, the number 0 does not have a sign, so that −0, +0 and 0 are identical. However, in computing, some number representations allow for the existence of two zeros, often denoted by −0 (negative zero) and +0 (positive zero), regarded as equal by the numerical comparison operations but with possible different behaviors in particular operations. This occurs in the sign and magnitude and ones' complement signed number representations for integers, and in most floating-point number representations. The number 0 is usually encoded as +0, but can be represented by either +0 or −0.The IEEE 754 standard for floating-point arithmetic (presently used by most computers and programming languages that support floating point numbers) requires both +0 and −0. Real arithmetic with signed zeros can be considered a variant of the extended real number line such that 1/−0 = −∞ and 1/+0 = +∞; division is only undefined for ±0/±0 and ±∞/±∞.Negatively signed zero echoes the mathematical analysis concept of approaching 0 from below as a one-sided limit, which may be denoted by x → 0−, x → 0−, or x → ↑0. The notation "−0" may be used informally to denote a small negative number that has been rounded to zero. The concept of negative zero also has some theoretical applications in statistical mechanics and other disciplines.It is claimed that the inclusion of signed zero in IEEE 754 makes it much easier to achieve numerical accuracy in some critical problems, in particular when computing with complex elementary functions. On the other hand, the concept of signed zero runs contrary to the general assumption made in most mathematical fields (and in most mathematics courses) that negative zero is the same thing as zero. Representations that allow negative zero can be a source of errors in programs, as software developers do not realize (or may forget) that, while the two zero representations behave as equal under numeric comparisons, they yield different results in some operations.".
- Signed_zero thumbnail IEEE_754_Single_Negative_Zero.svg?width=300.
- Signed_zero wikiPageID "2907387".
- Signed_zero wikiPageLength "11066".
- Signed_zero wikiPageOutDegree "47".
- Signed_zero wikiPageRevisionID "667420779".
- Signed_zero wikiPageWikiLink 0_(number).
- Signed_zero wikiPageWikiLink Arithmetic_underflow.
- Signed_zero wikiPageWikiLink C_(programming_language).
- Signed_zero wikiPageWikiLink Cast_(computer_programming).
- Signed_zero wikiPageWikiLink Category:0_(number).
- Signed_zero wikiPageWikiLink Category:Computer_arithmetic.
- Signed_zero wikiPageWikiLink Category:Integers.
- Signed_zero wikiPageWikiLink Celsius.
- Signed_zero wikiPageWikiLink Complex_number.
- Signed_zero wikiPageWikiLink Complex_numbers.
- Signed_zero wikiPageWikiLink Computing.
- Signed_zero wikiPageWikiLink Division_(mathematics).
- Signed_zero wikiPageWikiLink Division_by_zero.
- Signed_zero wikiPageWikiLink Exception_handling.
- Signed_zero wikiPageWikiLink Extended_real_number_line.
- Signed_zero wikiPageWikiLink Flag_(computing).
- Signed_zero wikiPageWikiLink Flag_field.
- Signed_zero wikiPageWikiLink Floating-point_number.
- Signed_zero wikiPageWikiLink Floating_point.
- Signed_zero wikiPageWikiLink Fortran.
- Signed_zero wikiPageWikiLink IEEE_754.
- Signed_zero wikiPageWikiLink IEEE_754-2008.
- Signed_zero wikiPageWikiLink IEEE_floating-point_standard.
- Signed_zero wikiPageWikiLink IEEE_floating_point.
- Signed_zero wikiPageWikiLink Indeterminate_form.
- Signed_zero wikiPageWikiLink Infinity.
- Signed_zero wikiPageWikiLink Java_(programming_language).
- Signed_zero wikiPageWikiLink Java_programming_language.
- Signed_zero wikiPageWikiLink Java_virtual_machine.
- Signed_zero wikiPageWikiLink Line_with_two_origins.
- Signed_zero wikiPageWikiLink Mathematical_analysis.
- Signed_zero wikiPageWikiLink Microsoft_Developer_Network.
- Signed_zero wikiPageWikiLink NaN.
- Signed_zero wikiPageWikiLink Negative_temperature.
- Signed_zero wikiPageWikiLink Non-Hausdorff_manifold.
- Signed_zero wikiPageWikiLink Not_a_Number.
- Signed_zero wikiPageWikiLink One-sided_limit.
- Signed_zero wikiPageWikiLink Ones_complement.
- Signed_zero wikiPageWikiLink Plus-minus_sign.
- Signed_zero wikiPageWikiLink Plus_and_minus_signs.
- Signed_zero wikiPageWikiLink Population_inversion.
- Signed_zero wikiPageWikiLink Rounding.
- Signed_zero wikiPageWikiLink Signed_magnitude.
- Signed_zero wikiPageWikiLink Signed_number_representation.
- Signed_zero wikiPageWikiLink Signed_number_representations.
- Signed_zero wikiPageWikiLink Significand.
- Signed_zero wikiPageWikiLink Statistical_mechanics.
- Signed_zero wikiPageWikiLink Twos_complement.
- Signed_zero wikiPageWikiLink Type_conversion.
- Signed_zero wikiPageWikiLink Type_punning.
- Signed_zero wikiPageWikiLink UNIVAC.
- Signed_zero wikiPageWikiLink Zero.
- Signed_zero wikiPageWikiLink File:IEEE_754_Single_Negative_Zero.svg.
- Signed_zero wikiPageWikiLinkText "Signed zero".
- Signed_zero wikiPageWikiLinkText "negative zero".
- Signed_zero wikiPageWikiLinkText "positive and negative zeros".
- Signed_zero wikiPageWikiLinkText "positive zero".
- Signed_zero wikiPageWikiLinkText "signed zero".
- Signed_zero wikiPageWikiLinkText "two representations of zero".
- Signed_zero hasPhotoCollection Signed_zero.
- Signed_zero wikiPageUsesTemplate Template:=.
- Signed_zero wikiPageUsesTemplate Template:Cite_paper.
- Signed_zero wikiPageUsesTemplate Template:Cite_web.
- Signed_zero wikiPageUsesTemplate Template:Gaps.
- Signed_zero wikiPageUsesTemplate Template:Refbegin.
- Signed_zero wikiPageUsesTemplate Template:Refend.
- Signed_zero wikiPageUsesTemplate Template:Reflist.
- Signed_zero subject Category:0_(number).
- Signed_zero subject Category:Computer_arithmetic.
- Signed_zero subject Category:Integers.
- Signed_zero type Integer.
- Signed_zero comment "Signed zero is zero with an associated sign. In ordinary arithmetic, the number 0 does not have a sign, so that −0, +0 and 0 are identical. However, in computing, some number representations allow for the existence of two zeros, often denoted by −0 (negative zero) and +0 (positive zero), regarded as equal by the numerical comparison operations but with possible different behaviors in particular operations.".
- Signed_zero label "Signed zero".
- Signed_zero sameAs Vorzeichenbehaftete_Null.
- Signed_zero sameAs -0.
- Signed_zero sameAs Cero_negativo.
- Signed_zero sameAs −0.
- Signed_zero sameAs −0.
- Signed_zero sameAs -0.
- Signed_zero sameAs -0.
- Signed_zero sameAs ±0.
- Signed_zero sameAs m.08bsll.
- Signed_zero sameAs Отрицательный_и_положительный_ноль.
- Signed_zero sameAs ศูนย์มีเครื่องหมาย.
- Signed_zero sameAs İşaretli_sıfır.
- Signed_zero sameAs xd0x92xd1x96xd0xb4xd1x94xd0xbcxd0xbdxd0xb8xd0xb9_xd1x96_xd0xb4xd0xbexd0xb4xd0xb0xd1x82xd0xbdxd0xb8xd0xb9_xd0xbdxd1x83xd0xbbxd1x8c.
- Signed_zero sameAs -0.
- Signed_zero sameAs Q217675.
- Signed_zero sameAs Q217675.
- Signed_zero sameAs −0.
- Signed_zero wasDerivedFrom Signed_zero?oldid=667420779.
- Signed_zero depiction IEEE_754_Single_Negative_Zero.svg.
- Signed_zero isPrimaryTopicOf Signed_zero.