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  2. Type conversion - Wikipedia

    en.wikipedia.org/wiki/Type_conversion

    Conversely, precision can be lost when converting representations from integer to floating-point, since a floating-point type may be unable to exactly represent all possible values of some integer type. For example, float might be an IEEE 754 single precision type, which cannot represent the integer 16777217 exactly, while a 32-bit integer type ...

  3. Integer overflow - Wikipedia

    en.wikipedia.org/wiki/Integer_overflow

    Integer overflow can be demonstrated through an odometer overflowing, a mechanical version of the phenomenon. All digits are set to the maximum 9 and the next increment of the white digit causes a cascade of carry-over additions setting all digits to 0, but there is no higher digit (1,000,000s digit) to change to a 1, so the counter resets to zero.

  4. Computer number format - Wikipedia

    en.wikipedia.org/wiki/Computer_number_format

    If a very small floating-point number is added to a large one, the result is just the large one. The small number was too small to even show up in 15 or 16 digits of resolution, and the computer effectively discards it. Analyzing the effect of limited precision is a well-studied problem. Estimates of the magnitude of round-off errors and ...

  5. Decimal data type - Wikipedia

    en.wikipedia.org/wiki/Decimal_data_type

    In the floating-point case, a variable exponent would represent the power of ten to which the mantissa of the number is multiplied. Languages that support a rational data type usually allow the construction of such a value from two integers, instead of a base-2 floating-point number, due to the loss of exactness the latter would cause.

  6. Arbitrary-precision arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arbitrary-precision_arithmetic

    Some programming languages such as Lisp, Python, Perl, Haskell, Ruby and Raku use, or have an option to use, arbitrary-precision numbers for all integer arithmetic. Although this reduces performance, it eliminates the possibility of incorrect results (or exceptions) due to simple overflow.

  7. 4,294,967,295 - Wikipedia

    en.wikipedia.org/wiki/4,294,967,295

    The number 4,294,967,295, equivalent to the hexadecimal value FFFFFFFF 16, is the maximum value for a 32-bit unsigned integer in computing. [6] It is therefore the maximum value for a variable declared as an unsigned integer (usually indicated by the unsigned codeword) in many programming languages running on modern computers. The presence of ...

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  9. List of arbitrary-precision arithmetic software - Wikipedia

    en.wikipedia.org/wiki/List_of_arbitrary...

    Standard ML: The optional built-in IntInf structure implements the INTEGER signature and supports arbitrary-precision integers. Tcl: As of version 8.5 (2007), integers are arbitrary-precision by default. (Behind the scenes, the language switches to using an arbitrary-precision internal representation for integers too large to fit in a machine word.