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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
integer
whole number
(Or "whole number") One of the numbers in the set
..., -3, -2, -1, 0, 1, 2, 3, ...
There are an infinite number of integers, though each one is
finite.
An inductive definition of an integer is a number that is either
zero or an integer plus or minus one. An integer has no
fractional part. If written as a real number, e.g. 42.0, the
part after the decimal point will be zero.
A natural number is a non-negative integer.
Computers usually store integers in binary. Natural numbers can
be stored as unsigned integers and integers that may be negative
require a sign bit and typically use twos complement
representation. Other representations have been used, such as
binary-coded decimal.
(2002-04-07)