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
Quadratic integer norm of a quadratic integer is always an integer. If , the norm of a quadratic integer is the square of its absolute value as a complex number (this is false if ). The norm is a completely multiplicative function, which means that the norm of a product of quadratic integers is always the product of their norms. Every quadratic integer has a conjugate An algebraic integer has the same norm as its conjugate, and this norm is the product of the algebraic integer and its conjugate. The conjugate of a sum or a product of algebraic integers is the