Integer multiple in the context of Zero

⭐ Core Definition: Integer multiple

In mathematics, a multiple is the product of any quantity and an integer. In other words, for the quantities a and b, it can be said that b is a multiple of a if b = na for some integer n, which is called the multiplier. If a is not zero, this is equivalent to saying that $b/a$ is an integer.

When a and b are both integers, and b is a multiple of a, then a is called a divisor of b. One says also that a divides b. If a and b are not integers, mathematicians prefer generally to use integer multiple instead of multiple, for clarification. In fact, multiple is used for other kinds of product; for example, a polynomial p is a multiple of another polynomial q if there exists third polynomial r such that p = qr.

↓ Menu

Integer multiple in the context of Fixed-point arithmetic

In computing, fixed-point is a method of representing fractional (non-integer) numbers by storing a fixed number of digits of their fractional part. Dollar amounts, for example, are often stored with exactly two fractional digits, representing the cents (1/100 of a dollar). More generally, the term may refer to representing fractional values as integer multiples of some fixed small unit, e.g., a fractional amount of hours as an integer multiple of ten-minute intervals. Fixed-point number representation is often contrasted to the more complicated and computationally demanding floating-point representation.

In the fixed-point representation, the fraction is often expressed in the same number base as the integer part, but using negative powers of the base b. The most common variants are decimal (base 10) and binary (base 2). The latter is commonly known also as binary scaling. Thus, if n fraction digits are stored, the value will always be an integer multiple of b. Fixed-point representation can also be used to omit the low-order digits of integer values, for instance, when representing large dollar values as multiples of $1000 ($1K).

View the full Wikipedia page for Fixed-point arithmetic

↑ Return to Menu

Integer multiple in the context of Zero

Integer multiple Study page number 1 of 1

Play TriviaQuestions Online!

Skip to study material about Integer multiple in the context of "Zero"

⭐ Core Definition: Integer multiple

Integer multiple in the context of Fixed-point arithmetic