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### SIGNIFICANT DIGITS

significant digits Definition

• | > > > PARTNER SPOTLIGHT Search: Definition of: significant digits Those digits in a number that add value to the number.
• . For example, in the number 00006508, 6508 are the significant digits.

Significant Digits
• Measurements and Significant Digits The valid digits is a measurement are called significant digits.
• . Thus, the measurement has four significant digits.
• . All nonzero digits in a measurement are significant (1, 2, 3, 4, 5, 6, 7, 8, 9).
• . For example, if you reported the measured length of an object to be 0.0030400 m, it would have only five significant digits.
• . The other two are between two significant digits (3, and the last zero) and will always be significant in this position.
• . The total number of significant digits is the sum of all the black digits in the measurements 0.0 860 m 1.0030 s 0.0000 10203 m \$ 18, 000 \$ 18, 000.00 \$ 18, 000.
• . 0 .10001 cm The following rules summarize how to determine the number of significant digits.
• . Nonzero digits are always significant All final zeroes after a decimal point are significant Zeroes between two other significant digits are always significant Zeroes used soley as placeholders are NOT significant Zeroes between a decimal point and a nonzero digit are significant.

Microsoft Excel Significant Digit Assistant
• Time Saving Microsoft Excel Add-ins Significant Digit Assistant A time saving add-in for Microsoft Excel 97, 2000, XP and 2003 Order online from our secure service - Get delivery in minutes! Order Risk Free - Money back guarantee if not satisfied \$29.95 One of the key functions that Microsoft left out of Microsoft Excel is one that rounds values to the number of significant digits that you wish to use.
• . Example: 86.0234 rounded to 3 significant digits is 86.0 Rule 2: If the digit to be dropped is greater than or equal to 5, increase the value of the last digit retained by one.

Lecture 2: Representation
• . 26 letters plus common symbols originally 128, extended to 256 8 binary digits (one byte) per character images JPEG, TIFF, GIF, BMP, ...

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American Scientist: The first digital phenomenon. (significant-digit law)@ HighBeam Research
• . Frank Benford introduced the significant-digit logarithmic law which stresses that certain digits in numbers collected randomly can occur often more than other numbers.

Recording Measurements
• Recording Measurements If you are going to understand significant digits, you have to be sure you are recording your measurements properly.
• . How long is the green line in the following diagram? What we are doing here is using the concept of significant digits .
• . Now just count the digits in this number.
• . There are three, so 9.60 has 3 significant digits .
• . If we assume that the following number was measured experimentally, and recorded properly, then how many significant digits does it contain? 12.065 1 2 3 4 5 Record your results with all the digits that you can measure, to the limit of the uncertainty of the equipment.
• . This tells you how many digits you should record when using this device.
• . How should you record the mass being displayed on this digital balance? How many significant digits are you recording in this answer? Try the quiz to see if you have the idea.

Virtual Data Center: UNF
• . Two fingerprints will match if and only if the subset of data generating them are identical, when represented with a given number of significant digits.
• . Here is one representation: UNF:3:10, 128:ZNQRI14053UZq389x0Bffg== This is comprised of the type identifier ('UNF'), the version of the algorithm (3), and the number of significant digits used for numeric and character values.
• . (The number of significant digits can be omitted if the default for that version of the algorithm is used.) The segment following the final colon is the actual fingerprint in base64 encoded format (the equal signs are part of the encoding, and represent padding to a 24-bit boundary).
• . A UNF will also be the same if the data differs in non-significant digits, a file checksum not.
• . A UNF is created by rounding data values to known number of digits, representing those values in standard form, and applying a cryptographic hash to that representation.
• . UNF calculation for numeric vectors proceeds as follows: Each element in the numeric vector is rounded to k significant digits using the IEEE 754 'round towards zero' rounding mode.

digit - definition of digit by the Free Online Dictionary, Thesaurus and Encyclopedia.
• . by He held his own hand out and counted his digits slowly, "One, two, three, four, five--eigh? by No two people born into the world probably have ever had identical lines upon all their digits .

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On the distributions of significant digits and roundoff errors
• (Full Service) (Limited Service, Free ) Search: The ACM Digital Library The Guide On the distributions of significant digits and roundoff errors Full text (190 KB) Source Communications of the ACM Volume 17, Issue 5 (May 1974) Pages: 269 - 271 Year of Publication: 1974 ISSN:0001-0782 Author Dept.
• . of Air Force, Wright-Patterson Air Force Base, OH Publisher ACM Press New York, NY, USA Additional Information: Tools and Actions: Display Formats: DOI Bookmark: Use this link to bookmark this Article: Generalized logarithmic law is derived for the distribution of the first t significant digits of a random digital integer.
• . On the distribution of first significant digits.
• . On the distributions of significant digits and round-off errors.

Legge di Benford - Wikipedia
• . -, "On the distribution of first significant digits" in Ann.

Digital Atlas of Australian Soils - Metadata
• . The Digital Atlas is available as a double precision ARC/INFOŽ coverage (which means that each coordinate is stored with up to 15 significant digits) but a single precision derivative is also available (in which each coordinate is stored with up to seven significant digits).

Digital Mars - The D Programming Language - std.format
• . If there are fewer resulting digits than the Precision , leading zeros are used as necessary.
• . If the Precision is 0 and the number is 0, no digits result.
• . 'e', 'E' A floating point number is formatted as one digit before the decimal point, Precision digits after, the FormatChar , ±, followed by at least a two digit exponent: d.dddddd e ±dd .
• . If there is no Precision , six digits are generated after the decimal point.
• . The Precision specifies the number of digits generated after the decimal point.
• . The Precision specifies the number of significant digits, and defaults to six.
• . If there is no Precision , as many hexadecimal digits as necessary to exactly represent the mantissa are generated.
• . The exponent is written in as few digits as possible, but at least one, is in decimal, and represents a power of 2 as in h.hhhhhh *2 ±d .
• . The hexadecimal digits, x and p are in upper case if the FormatChar is upper case.