floating-point

(programming, mathematics)A number representation consistingof a mantissa, M, an exponent, E, and a radix (or"base"). The number represented is M*R^E where R is theradix.

In science and engineering, exponential notation orscientific notation uses a radix of ten so, for example, thenumber 93,000,000 might be written 9.3 x 10^7 (where ^7 issuperscript 7).

In computer hardware, floating point numbers are usuallyrepresented with a radix of two since the mantissa andexponent are stored in binary, though many differentrepresentations could be used. The IEEE specify astandard representation which is used by many hardwarefloating-point systems. Non-zero numbers are normalised sothat the binary point is immediately before the mostsignificant bit of the mantissa. Since the number isnon-zero, this bit must be a one so it need not be stored. Afixed "bias" is added to the exponent so that positive andnegative exponents can be represented without a sign bit.Finally, extreme values of exponent (all zeros and all ones)are used to represent special numbers like zero and positiveand negative infinity.

See also floating-point accelerator, floating-point unit.

Opposite: fixed-point.

单词	floating-point
释义	floating-point float·ing-point (flō′tĭng-point′)adj. Of, relating to, or being a method of writing numeric quantities with a mantissa representing the value of the digits and a characteristic indicating the power of the number base, such as 3 × 10^-5. floating-point floating-point (programming, mathematics)A number representation consistingof a mantissa, M, an exponent, E, and a radix (or"base"). The number represented is M*R^E where R is theradix. In science and engineering, exponential notation orscientific notation uses a radix of ten so, for example, thenumber 93,000,000 might be written 9.3 x 10^7 (where ^7 issuperscript 7). In computer hardware, floating point numbers are usuallyrepresented with a radix of two since the mantissa andexponent are stored in binary, though many differentrepresentations could be used. The IEEE specify astandard representation which is used by many hardwarefloating-point systems. Non-zero numbers are normalised sothat the binary point is immediately before the mostsignificant bit of the mantissa. Since the number isnon-zero, this bit must be a one so it need not be stored. Afixed "bias" is added to the exponent so that positive andnegative exponents can be represented without a sign bit.Finally, extreme values of exponent (all zeros and all ones)are used to represent special numbers like zero and positiveand negative infinity. See also floating-point accelerator, floating-point unit. Opposite: fixed-point.
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floating-point

float·ing-point

floating-point

floating-point