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[parent] Windows Calculator (Definition)

The Windows Calculator is a software calculator that comes bundled with the Windows operating system. The basic mode is called ``Standard'' and is the default, Scientific mode has most of the operations available on a typical scientific calculator. Note that switching between modes causes the loss of the current value displayed (unless of course that value is 0). For some reason, Standard mode has a square root key but Scientific mode does not. As a workaround in scientific mode, one can enter, say, [2] [x^y] [0] [.] [5].

Division by zero causes an error condition that must be cleared with the C key on the displayed keyboard (or the Escape key on the computer's keyboard). Integer values smaller than $10^{32}$ can be displayed in all their digits. According to the Help, the Windows Calculator truncates $\pi$ to 32 digits, but rational numbers are stored internally ``as fractions''.

Like most scientific calculators, the Windows Calculator can display results in binary, octal and hexadecimal, but is limited to integers in those bases. Additionally, negative numbers are shown in two's complement (and the sign change key performs two's complement on the displayed value). In those bases, the user can choose the data size: quadruple word (the default), double word, word or byte. Overflows don't trigger any kind of exception or error notification, the calculator quietly discards the more significant digits and displays the least significant digits that will fit in the currently selected data size.

Like the Mac OS Calculator, for the Windows Calculator $0^0 = 1$ .

Bibliography

1
David A. Karp, Tim O'Reilly & Troy Mott, Windows XP in a Nutshell Cambridge: O'Reilly (2002): 114 - 117




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"Windows Calculator" is owned by PrimeFan. [ full author list (3) ]
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Cross-references: Mac OS Calculator, least significant digits, size, complement, negative numbers, bases, hexadecimal, binary, rational numbers, digits, integer, computer's, division by zero, square root, current, scientific calculator, operations, mode, calculator
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This is version 5 of Windows Calculator, born on 2007-02-02, modified 2007-06-07.
Object id is 8861, canonical name is WindowsCalculator.
Accessed 6628 times total.

Classification:
AMS MSC00A05 (General :: General and miscellaneous specific topics :: General mathematics)
 01A07 (History and biography :: History of mathematics and mathematicians :: Ethnomathematics, general)

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Negative numbers raised to fractional exponents by PrimeFan on 2007-06-01 18:44:56
What is the sign of (-x)^(a/b) when (a/b) is not an integer? It tried (-2)^1.5 in the Windows Calculator and it said "Invalid input for function."
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What is wrong with 0^0=1? by Algeboy on 2007-02-02 19:38:57
I am not sure I understood why the 0^0=1 is indicated as an oddity of the calculators you describe.

This is true if you define it to be so and I don't see it getting in the way of any normal exponent laws. We do this for non-zero integers so that

1=x^n x^(-n)=x^(n+ -n)=x^0.

So perhaps it appears you have a problem along the lines of

 1=0^0=0^(n + -n)=0^n 0^(-n)=0.

But for 0 you don't have 0^(-n) so you cannot actually write this and so you don't have a real problem defining 0^0=1 just as we also define 0!=1 and so forth. After all, x^0 is just as much a matter of notation as is 0^0, there really isn't a 0 exponent until you define it. This is different from x^2 or x^9 where there is a prescribe solution already determined by multiplication.
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