Normalization - Revision history

Jnc: +car

2018-12-14T17:37:07Z

+car

Jnc: typo

2018-09-05T16:01:29Z

typo

Jnc: A decent start

2018-09-05T13:59:08Z

A decent start

New page

'''Normalization''' is an arithmetic operation used in working with [[floating point]] ('real') numbers.

In computers, most implementations of floating point separate the numbers info an exponent, and a mantissa (fractional part). A numeric operation may result in the creation of a number with zeros in the most significant bits of the mantissa; further operations with a number of this form may result in un-necessary loss of accuracy (since those bits are bot being used to hold useful information).

The usual response is to shift the mantissa left, to remove the zeros, and adjust the exponent accordingingly; this process is called 'normalization'.

In some implementations, since the most-significant bit would ''always'' be a one under this system, that bit is not stored, allowing one more bit of accuracy; this is sometimes referred to as a 'hidden' bit.

← Older revision		Revision as of 17:37, 14 December 2018
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	In some implementations, since the most-significant bit would ''always'' be a one under this system, that bit is not stored, allowing one more bit of accuracy to be retained; this is sometimes referred to as a 'hidden' bit.		In some implementations, since the most-significant bit would ''always'' be a one under this system, that bit is not stored, allowing one more bit of accuracy to be retained; this is sometimes referred to as a 'hidden' bit.
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		+	[[Category: Theory]]

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 '''Normalization''' is an arithmetic operation used in working with [[floating point]] ('real') numbers.
-In computers, most implementations of floating point separate the numbers info an exponent, and a mantissa (fractional part). A numeric operation may result in the creation of a number with zeros in the most significant bits of the mantissa; further operations with a number of this form may result in un-necessary loss of accuracy (since those bits are bot being used to hold useful information).
+In computers, most implementations of floating point separate the numbers info an exponent, and a mantissa (fractional part). A numeric operation may result in the creation of a number with zeros in the most significant bits of the mantissa; further operations with a number of this form may result in un-necessary loss of accuracy (since those bits are not being used to hold useful information).
-The usual response is to shift the mantissa left, to remove the zeros, and adjust the exponent accordingingly; this process is called 'normalization'.
+The usual response is to shift the mantissa to the left, removing the zeros, and adjusting the exponent accordingingly; this process is 'normalization'.
-In some implementations, since the most-significant bit would ''always'' be a one under this system, that bit is not stored, allowing one more bit of accuracy; this is sometimes referred to as a 'hidden' bit.
+In some implementations, since the most-significant bit would ''always'' be a one under this system, that bit is not stored, allowing one more bit of accuracy to be retained; this is sometimes referred to as a 'hidden' bit.