Images of IEC 80000-6
三分一技術士事務所Issues on Spec 2.1 JIS X 7206:2020Issues on Spec 2.1Spec 2.1 is NOT edited sufficiently clear and consistentlyIEEE Standard for Floating-Point ArithmeticISO 80000-1:2009(E)Rounding of numbersB.1 Rounding means replacing the magnitude of a given number by another number called the rounded number, selected from the sequence of integral multiples of a chosen rounding range.EXAMPLE 1rounding range:0,1integral multiple:2,1; 12,2; 12,3; 12,4; etc.EXAMPLE 2rounding range:10integral multiple:1 210; 1 220; 1 230; 1 240; etc.B.2 If there is only one integral multiple nearest the given number, then that is accepted as the rounded number.EXAMPLE 3rounding range:0,1given numberrounded number12,23312,212,25112,312,27512,3EXAMPLE 4rounding range:10given numberrounded number1 223,31 2201 225,11 2301 227,51 230B.3 If there are two successive integral multiples equally near the given number, two different rules are in use.Rule A: The even multiple is selected as the rounded number.EXAMPLE 5rounding range:0,1given numberrounded number12,2512,212,3512,4EXAMPLE 6rounding range:10given numberrounded number1 225,01 2201 235,01 240Rule B: The greater in multitude is selected as the rounded number.EXAMPLE 7rounding range:0,1given numberrounded number12,2512,312,3512,4-12,25-12,3-12,35-12,4EXAMPLE 8rounding range:10given numberrounded number1 225,01 2301 235,01 240-1 225,0-1 230-1 235,0-1 240Rule A is generally preferable and of special advantage when treating, for example, series of measurements in such a way that the rounding errors are minimized.Rule B is sometimes used in computers.B.4 Rounding in more than one stage by the application of the rules given above may lead to errors. Therefore, the rounding shall always be carried out in only one step.EXAMPLE 12,254 should be rounded to 12,3 and not first to 12,25 and then to 12,2.B.5 The rules given above should be used only if no special criteria for the selection of the rounded number have to be taken into account. For instance, in case where safety requirements or other limits have to be respected, it is advisable to round only in one direction.B.6 The rounding range should always be indicated.Share this...emailFacebookTwitterLinkedin B.1 Rounding means replacing the magnitude of a given number by another number called the rounded number, selected from the sequence of integral multiples of a chosen rounding range.EXAMPLE 1rounding range:0,1integral multiple:2,1; 12,2; 12,3; 12,4; etc.EXAMPLE 2rounding range:10integral multiple:1 210; 1 220; 1 230; 1 240; etc.B.2 If there is only one integral multiple nearest the given number, then that is accepted as the rounded number.EXAMPLE 3rounding range:0,1given numberrounded number12,23312,212,25112,312,27512,3EXAMPLE 4rounding range:10given numberrounded number1 223,31 2201 225,11 2301 227,51 230B.3 If there are two successive integral multiples equally near the given number, two different rules are in use.Rule A: The even multiple is selected as the rounded number.EXAMPLE 5rounding range:0,1given numberrounded number12,2512,212,3512,4EXAMPLE 6rounding range:10given numberrounded number1 225,01 2201 235,01 240Rule B: The greater in multitude is selected as the rounded number.EXAMPLE 7rounding range:0,1given numberrounded number12,2512,312,3512,4-12,25-12,3-12,35-12,4EXAMPLE 8rounding range:10given numberrounded number1 225,01 2301 235,01 240-1 225,0-1 230-1 235,0-1 240Rule A is generally preferable and of special advantage when treating, for example, series of measurements in such a way that the rounding errors are minimized.Rule B is sometimes used in computers.B.4 Rounding in more than one stage by the application of the rules given above may lead to errors. Therefore, the rounding shall always be carried out in only one step.EXAMPLE 12,254 should be rounded to 12,3 and not first to 12,25 and then to 12,2.B.5 The rules given above should be used only if no special criteria for the selection of the rounded number have to be taken into account. For instance, in case where safety requirements or other limits have to be respected, it is advisable to round only in one direction.B.6 The rounding range should always be indicated.Share this...emailFacebookTwitterLinkedin
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ISO/IEC 27000 Origen ISO 27001 Esquema BS 7799-2 ISO 27002 ISO/IEC 27011 ISO 27002 ISO/IEC 27033 ISO/IEC 27004 ISO 27003 ISO/IEC 27006 ISO/IEC 27007 ISO/IEC 27034 ISO/IEC 27035 ISO/IEC 27005 ISO/IEC 27010 ISO/IEC 27013 ISO/IEC 27015 ISO/IEC 27037 ISO/IEC 27032 ISO/IEC TR 27019 ISO/IEC 27014 ISO/IEC 27023 ISO/IEC 27031 ISO/IEC 27016 ISO/IEC 27038 ISO/IEC 27018 ISO/IEC 27036 ISO/IEC 27017 ISO/IEC 27042 ISO/IEC 27039 ISO/IEC 27040 ISO/IEC 27041 ISO/IEC 27043 ISO/IEC 27009 ISO/IEC 27050 ISO/IEC TR 27103:2018
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IEC 80000-6
