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 Pell's equations, and other questions related to integral quadratic forms. The study of rings of quadratic integers is basic for many questions of algebraic number theory. Medieval Indian mathematicians had already discovered a multiplication of quadratic integers of the same , which allowed them to solve some cases of Pell's equation. The characterization of the quadratic integers was first given by Richard Dedekind in 1871. A quadratic integer is an algebraic integer of degree two. More explicitly, it is a complex number formula_1, which solves an equation of the form , with "B" and "C" integers. Each quadratic integer that