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In mathematics, truncation is the term for limiting the number of digits right of the decimal point, by discarding the least significant ones.

For example, consider the real numbers

- 5.6341432543653654

- 32.438191288

- 6.3444444444444

To truncate these numbers to 4 decimal digits, we only consider the 4 digits to the right of the decimal point.

The result would be:

- 5.6341

- 32.4381

- 6.3444

Note that in some cases, truncating would yield the same result as rounding, but truncation does not round up or round down the digits; it merely cuts off at the specified digit. The truncation error can be twice the maximum error in rounding.

- $mbox\{trunc\}\; left(x,n\; right)\; =\; frac\{lfloor\; 10^n\; cdot\; x\; rfloor\}\{10^n\}.$

For negative numbers truncation does not round in the same direction as the floor function: truncation rounds toward zero, the floor function rounds down.

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Last updated on Wednesday September 24, 2008 at 02:32:21 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Wednesday September 24, 2008 at 02:32:21 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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