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
Transposable integer at all the steps: and also note that: By observing the remainders at each step, we can thus perform a desired cyclic permutation by multiplication. E.g., In this manner, cyclical left or right shift of any number of positions can be performed. Less importantly, this technique can be applied to any integer to shift cyclically right or left by any given number of places for the following reason: An integer "X" shift cyclically right by "k" positions when it is multiplied by an integer "n". Prove its formula. Proof First recognize that "X" is the repeating digits of a repeating