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Here the 'IEEE 754 double value' resulting of the 15 bit figure is 3.330560653658221E-15, which is rounded by Excel for the 'user interface' to 15 digits 3.33056065365822E-15, and then displayed with 30 decimals digits gets one 'fake zero' added, thus the 'binary' and 'decimal' values in the sample are identical only in display, the values ...
The main concepts are those of a grid of cells, called a sheet, with either raw data, called values, or formulas in the cells. Formulas say how to mechanically compute new values from existing values. Values are general numbers, but can also be pure text, dates, months, etc. Extensions of these concepts include logical spreadsheets.
An n-bit LUT can encode any n-input Boolean function by storing the truth table of the function in the LUT. This is an efficient way of encoding Boolean logic functions, and LUTs with 4-6 bits of input are in fact the key component of modern field-programmable gate arrays (FPGAs) which provide reconfigurable hardware logic capabilities.
Use of a user-defined function sq(x) in Microsoft Excel. The named variables x & y are identified in the Name Manager. The function sq is introduced using the Visual Basic editor supplied with Excel. Subroutine in Excel calculates the square of named column variable x read from the spreadsheet, and writes it into the named column variable y.
The computer may also offer facilities for splitting a product into a digit and carry without requiring the two operations of mod and div as in the example, and nearly all arithmetic units provide a carry flag which can be exploited in multiple-precision addition and subtraction. This sort of detail is the grist of machine-code programmers, and ...
This is known as triple product expansion, or Lagrange's formula, [2] [3] although the latter name is also used for several other formulas. Its right hand side can be remembered by using the mnemonic "ACB − ABC", provided one keeps in mind which vectors are dotted together.
Hoefler Text, a typeface designed in 1991, uses text figures. The ascending six and descending nines are minted on this 1996 U.S. penny. Text figures (also known as non-lining, lowercase, old style, [1] ranging, hanging, medieval, billing, [2] or antique [3] figures or numerals) are numerals designed with varying heights in a fashion that resembles a typical line of running text, hence the name.
In "old style" text figures, numerals 0, 1 and 2 are x-height; numerals 6 and 8 have bowls within x-height, plus ascenders; numerals 3, 5, 7 and 9 have descenders from x-height, with 3 resembling ʒ; and the numeral 4 extends a short distance both up and down from x-height. Old-style numerals are often used by British presses.