Integer (computer science) at least 32 bits on any computer. Programmers may also incorrectly assume that a pointer can be converted to an integer without loss of information, which may work on (some) 32-bit computers, but fail on 64-bit computers with 64-bit pointers and 32-bit integers. A "short integer" can represent a whole number that may take less storage, while having a smaller range, compared with a standard integer on the same machine. In C, it is denoted by short. It is required to be at least 16 bits, and is often smaller than a standard integer, but this is not required. A
Non-integer representation integer "k" such that . Set and For , put In other words, the canonical β-expansion of "x" is defined by choosing the largest "d" such that , then choosing the largest "d" such that , etc. Thus it chooses the lexicographically largest string representing "x". With an integer base, this defines the usual radix expansion for the number "x". This construction extends the usual algorithm to possibly non-integer values of β. Base behaves in a very similar way to base 2 as all one has to do to convert a number from binary into base is put a zero