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 How and When (Posted on 2009-07-29)
Solve this alphametic, where each of the capital letters in bold denotes a different decimal digit from 0 to 9. None of the numbers can contain any leading zero.

3√(HOW)+ 3√(AND) = 3√(WHEN)

 No Solution Yet Submitted by K Sengupta No Rating

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 re: Precisely | Comment 15 of 17 |
(In reply to Precisely by ed bottemiller)

The language system or spreadsheet program has to know how much space to allocate for given variables, and so sets the precision of the numbers.  A 32-bit or 64-bit or 16-bit operating system will just gulp given portions of memory faster or slower than another operating system/processor combination.

`  ?Limits to QuickBASIC?   ?Names, Strings and Numbers?   ?Contents?   ?Index?------------------------------------------------------------------------------Limits to QuickBASIC - Names, Strings, and Numbers                                       Maximum                 MinimumVariable name length                   40 characters           1 characterString length                          32,767 characters       0 charactersIntegers                               32,767                 -32,768Long Integers                          2,147,483,647          -2,147,483,648Single precision numbers (positive)    3.402823 E+38           1.401298 E-45Single precision numbers (negative)   -1.401298 E-45          -3.402823 E+38Double precision numbers (positive)                          Maximum:     1.797693134862315 D+308                          Minimum:     4.940656458412465 D-324Double precision (negative)                          Maximum:    -4.940656458412465 D-324                          Minimum:    -1.797693134862315 D+308                 `

The above comes from the QuickBasic help.

Note the maximum long integer above, 2,147,483,647, for QuickBasic, a DOS product, that ran on 16-bit machines.  This number is 7FFFFFFF in hex, which is 31 bits, and the sign bit makes it 32. It did (and does) this without regard to a 32-bit processor or operating system.

The double-precision floating point numbers are even more precise and indeed also have to allow bits for the exponent portion, as in scientific notation, though binary is used rather than decimal. It requires 8 bytes, or 64 bits. There's a discussion in Wikipedia at http://en.wikipedia.org/wiki/Double_precision_floating-point_format.

 Posted by Charlie on 2009-07-31 14:20:28

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