least significant digit

The least significant digit of a number n written in a given positional base b is the digit in the least significant place value, and has to be in the range -1<d1<b. In the case of an integer, the least significant digit is the 1’s place value, usually written to the right of the b’s place value. In the case of a transcendental numberMathworldPlanetmath, there is no actual least significant digit, but for computational purposes the rational approximation would have a least significant digit.

In an array of digits k long meant for mathematical manipulation, it might be convenient to index the least significant digit with index 1 or 0, and the more significant digits with larger integers. (This enables the calculation of the value of a given digit as dibi rather than dibk-i.) For an array of digits meant for text string manipulation, however, the least significant digit might be placed at position k (for example, by Mathematica’s IntegerDigits function).

In binary, the least significant digit is often called the least significant bit.

Title least significant digit
Canonical name LeastSignificantDigit
Date of creation 2013-03-22 16:21:06
Last modified on 2013-03-22 16:21:06
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 5
Author PrimeFan (13766)
Entry type Definition
Classification msc 11A63
Defines least significant bit