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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.
[a] Thus, a signed 32-bit integer can only represent integer values from −(2 31) to 2 31 − 1 inclusive. Consequently, if a signed 32-bit integer is used to store Unix time, the latest time that can be stored is 2 31 − 1 (2,147,483,647) seconds after epoch, which is 03:14:07 on Tuesday, 19 January 2038. [ 7 ]
In the C# programming language, or any language that uses .NET, the DateTime structure stores absolute timestamps as the number of tenth-microseconds (10 −7 s, known as "ticks" [80]) since midnight UTC on 1 January 1 AD in the proleptic Gregorian calendar, [81] which will overflow a signed 64-bit integer on 14 September 29,228 at 02:48:05 ...
For integers, the term "integer underflow" typically refers to a special kind of integer overflow or integer wraparound condition whereby the result of subtraction would result in a value less than the minimum allowed for a given integer type, i.e. the ideal result was closer to negative infinity than the output type's representable value ...
Arbitrary-precision arithmetic can also be used to avoid overflow, which is an inherent limitation of fixed-precision arithmetic. Similar to an automobile's odometer display which may change from 99999 to 00000, a fixed-precision integer may exhibit wraparound if numbers grow too
For example, adjusting the volume level of a sound signal can result in overflow, and saturation causes significantly less distortion to the sound than wrap-around. In the words of researchers G. A. Constantinides et al.: [1] When adding two numbers using two's complement representation, overflow results in a "wrap-around" phenomenon.
Stack Overflow is a question-and-answer website for computer programmers. It is the flagship site of the Stack Exchange Network. [2] [3] [4] It was created in 2008 by Jeff Atwood and Joel Spolsky. [5] [6] It features questions and answers on certain computer programming topics.
In computing, a roundoff error, [1] also called rounding error, [2] is the difference between the result produced by a given algorithm using exact arithmetic and the result produced by the same algorithm using finite-precision, rounded arithmetic. [3]