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Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...
u 2 + 2uv + v 2 = w 2 + 4s 2 and u 2 − 2uv + v 2 = w 2 − 4s 2, which can be expressed as (u + v) 2 = w 2 + 4s 2 and (u − v) 2 = w 2 − 4s 2. Multiplying these equations together yields (u 2 − v 2) 2 = w 4 − 16s 4. But as Fermat proved, there can be no integer solution to the equation x 4 − y 4 = z 2, of which this is a special case ...
LibreOffice Calc is the spreadsheet component of the LibreOffice software package. [6] [7]After forking from OpenOffice.org in 2010, LibreOffice Calc underwent a massive re-work of external reference handling to fix many defects in formula calculations involving external references, and to boost data caching performance, especially when referencing large data ranges.
The binary number system expresses any number as a sum of powers of 2, and denotes it as a sequence of 0 and 1, separated by a binary point, where 1 indicates a power of 2 that appears in the sum; the exponent is determined by the place of this 1: the nonnegative exponents are the rank of the 1 on the left of the point (starting from 0), and ...
Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS.It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA).
Engineering notation or engineering form (also technical notation) is a version of scientific notation in which the exponent of ten is always selected to be divisible by three to match the common metric prefixes, i.e. scientific notation that aligns with powers of a thousand, for example, 531×10 3 instead of 5.31×10 5 (but on calculator displays written without the ×10 to save space).
Microsoft Excel uses dedicated file formats that are not part of OOXML, and use the following extensions:.xlsb – Excel binary worksheet (BIFF12).xla – Excel add-in that can contain macros.xlam – Excel macro-enabled add-in.xll – Excel XLL add-in; a form of DLL-based add-in [1].xlw – Excel work space; previously known as "workbook"
Several earlier 16-bit floating point formats have existed including that of Hitachi's HD61810 DSP of 1982 (a 4-bit exponent and a 12-bit mantissa), [2] Thomas J. Scott's WIF of 1991 (5 exponent bits, 10 mantissa bits) [3] and the 3dfx Voodoo Graphics processor of 1995 (same as Hitachi).