The representation of big integers used in this section is very inefficient because only one decimal digit is stored in each Fortran integer array element. It is possible to store a number as large as...



The representation of big integers used in this section is very inefficient because


only one decimal digit is stored in each Fortran integer array element. It is possible


to store a number as large as possible, but not so large that when two are multiplied, there is overflow. This largest value can be determined portably on any system with the statements


On a typical system that uses 32 bits to store an integer, with 1 bit used for the


sign, the value of the intrinsic inquiry function range(0) is 9 because 109 <>


1010. To ensure that there is no chance of overflow in multiplication, this number is


decreased by one before dividing by two to determine the number of decimal digits d that can be stored in one array element digit of a big integer. In our example,


this would set d to 4. The value of base is then 10**d, or 104 = 10,000. With this


scheme, instead of storing a number from 0 to 9 in one integer array element, it is


possible to store a number from 0 to base 1, which is 9,999 in the example. In effect, the big number system uses base 10,000 instead of base 10 (decimal).


Determine the value of range (0) on your system.



May 26, 2022
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