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significand

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Also known as coefficient, mantissa

The significand (also coefficient, sometimes argument, or more ambiguously mantissa, fraction, or characteristic) is the first (left) part of a number in scientific notation or related concepts in floating-point representation, consisting of its significant digits. For negative numbers, it does not include the initial minus sign.

Wikidata facts

Subclass of
fractional part
Has parts of class
significant figure
Show 1 more fact
maintained by WikiProject
WikiProject Mathematics
Sources (1)

via Wikidata · CC0

~5 min read

Encyclopedic overview

6 sections
Contents
  • Example
  • The hidden bit in floating point
  • Floating-point mantissa
  • See also
  • Notes
  • References

The significand (also coefficient, sometimes argument, or more ambiguously mantissa, fraction, or characteristic) is the first (left) part of a number in scientific notation or related concepts in floating-point representation, consisting of its significant digits. For negative numbers, it does not include the initial minus sign.

Depending on the interpretation of the exponent, the significand may represent an integer or a fractional number, which may cause the term "mantissa" to be misleading, since the mantissa of a logarithm is always its fractional part. Although the other names mentioned are common, significand is the word used by IEEE 754, an important technical standard for floating-point arithmetic. In mathematics, the term "argument" may also be ambiguous, since "the argument of a number" sometimes refers to the length of a circular arc from 1 to a number on the unit circle in the complex plane.

Excerpted from Wikipedia’s “significand” article, available under the CC BY-SA 4.0 licence.