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In one form, product activation refers to a method invented by Ric Richardson and patented (U.S. patent 5,490,216) by Uniloc where a software application hashes hardware serial numbers and an ID number specific to the product's license (a product key) to generate a unique installation ID.
On Windows 10 and Windows 11, the activation process can also generate a "digital entitlement", which allows the operating system's hardware and license status to be saved to the activation servers, so that the operating system's license can automatically be restored after a clean installation without the need to enter a product key.
Microsoft Office 2021 (third release codenamed Office 16) is a version of the Microsoft Office suite of applications for the Microsoft Windows and macOS operating systems.It was released on October 5, 2021. [6]
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Excel 4.0 was the first application to support new AppleScript. [175] Microsoft Office 4.2 for Mac was released in 1994. (Version 4.0 was skipped to synchronize version numbers with Office for Windows) Version 4.2 included Word 6.0, Excel 5.0, PowerPoint 4.0 and Mail 3.2. [183] It was the first Office suite for Power Macintosh. [175]
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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 ...
In the figure, the fraction 1/9000 is displayed in Excel. Although this number has a decimal representation that is an infinite string of ones, Excel displays only the leading 15 figures. In the second line, the number one is added to the fraction, and again Excel displays only 15 figures. In the third line, one is subtracted from the sum using ...