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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.
This is a feature of C# 9.0. ... Overflow exception control checked, unchecked: ... unsigned integer 0 through 65,535 16-bit (2-byte) 0: uint:
It is required to be at least 16 bits, and is often smaller than a standard integer, but this is not required. [9] [10] A conforming program can assume that it can safely store values between −(2 15 −1) [11] and 2 15 −1, [12] but it may not assume that the range is not larger. In Java, a short is always a 16-bit integer.
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 ...
The overflow flag is thus set when the most significant bit (here considered the sign bit) is changed by adding two numbers with the same sign (or subtracting two numbers with opposite signs). Overflow cannot occur when the sign of two addition operands are different (or the sign of two subtraction operands are the same). [1]
Example: 16 bit signed integer: 30000 + 30000 = −5536. The example given here of a negative number resulting from addition is an example of a signed integer overflow, but its usage immediately after the statement about C programming behavior is contradictory.
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 ...
The range of integer values that can be stored in 16 bits depends on the integer representation used. With the two most common representations, the range is 0 through 65,535 (2 16 − 1) for representation as an binary number, and −32,768 (−1 × 2 15) through 32,767 (2 15 − 1) for representation as two's complement.