floating-point number

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floating-point number

A student enters a floating-point number into a computer program.

Definition
  1. Noun:
    • A number represented in floating-point notation: A floating-point number is a way of representing real numbers in computing, approximating a wide range of values by using a formula that includes a significand (or mantissa), a base, and an exponent. This system allows for the representation of very large numbers, very small fractions, and non-integer values.
Usage
  • A is used in programming, scientific computing, and any digital system that must handle a broad spectrum of numeric values with a finite amount of memory.
  • It is the standard data type for representing numbers with decimal points in most programming languages (e.g., or ).
Examples
  • Noun:
    • The result of the calculation was stored as a floating-point number.
    • When you divide 10 by 3 in a computer, the answer is an approximation represented as a floating-point number.
    • The variable pi is typically declared as a floating-point number to hold its decimal value.
Advanced Usage
  • Floating-point arithmetic: The branch of computer arithmetic concerning operations on .
    • Floating-point arithmetic is essential for scientific simulations.
  • Floating-point unit (FPU): A part of a computer system specially designed to carry out operations on .
    • The processor's FPU handles all floating-point calculations efficiently.
Variants and Related Words
  • Float (n, informal): A common shorthand in programming for a of single precision.
    • In C, you declare a single-precision variable with the float keyword.
  • Double (n, informal): A common shorthand for a double-precision , which uses more bits for greater accuracy and range.
    • For higher precision, use a double instead of a float.
Synonyms
  • Real number (in computing context): While mathematically distinct, in many programming contexts, a is the data type used to approximate a real number.
Related Phrases and Concepts
  • Floating-point representation: The specific method of encoding a in bits.
    • The IEEE 754 standard defines the floating-point representation.
  • Floating-point error/rounding error: The imprecision that can occur because a is an approximation.
    • The tiny discrepancy was due to a floating-point error.
  • Single-precision: A format that typically uses 32 bits.
  • Double-precision: A format that typically uses 64 bits.
floating-point number

A student enters a floating-point number into a computer program.

Noun
  1. a number represented in floating-point notation