least significant digit vs last significant digit

Both phrases are correct, but they have slightly different meanings. 'Least significant digit' refers to the digit in a number that holds the smallest place value, while 'last significant digit' could refer to the final digit in a number that is important for accuracy or precision. They are not interchangeable as they convey different concepts.

Last updated: March 31, 2024 • 728 views

This phrase is correct and commonly used in mathematics and computer science.

"least significant digit "

This phrase refers to the digit in a number that holds the smallest place value, often used in discussions about numerical precision and accuracy.

Examples:

In the number 4567, the 7 is the least significant digit.
When rounding to the nearest hundred, you only need to consider the least significant digit.

Show examples from the web [+]

The least significant digit is 0,1 nits.
minimum, including rounding: corresponding to the least significant digit of the fare indication.
The overall accuracy of a meter is found by taking (±) the absolute sum of 2 % of the measurement and a 2-digit tolerance of the displayed value least significant digit.
These ECU exchange rates are rounded to the sixth significant digit.
The resulting rates shall be rounded to six significant digits.
All data per flight shall be used with all significant digits for calculation.
The exchange rate shall be expressed as the value of E1 using six significant digits for all currencies.
Emission factors shall be rounded to include only significant digits both for emission calculations and reporting purposes.
The estimation method will not always allow the three digits precision. In that case the value should be delivered with the significant digits only.
The exchange rates of the 11 euro area currencies so calculated had 11 significant digits, all of which were retained for maximum accuracy.
Directly measured or calculated values that are submitted for reporting on the ENERGY STAR website shall be rounded to the nearest significant digit as expressed in the corresponding specification limit.
All data per flights shall be rounded to include all significant digits for the purpose of calculating the distance and payload pursuant to Article 56 as well as reporting the tonne-kilometre data.
First, and in line with the regular concertation procedure, one euro area currency, namely the Deutsche Mark, was quoted against the US dollar according to prevailing market conventions (to 5 significant digits).
Activity data, emission factors and oxidation or conversion factors shall be rounded to include only significant digits both for emission calculations and reporting purposes.
listed therein but having a hazard code with three or more significant digits (not including any zero);
The speed measurements at AA', BB', and PP' shall be noted and used in calculations to the first significant digit after the decimal place.
The vehicle speed readings at AA' and BB' shall be reported with the first significant digit after the decimal place (vAA, kj; vBB, kj).
Proper implementation or at least significant progress in these areas will demonstrate and strengthen Croatia's willingness and opportunities to become an EU Member State.
The size of the effect detectable using ANOVA (i.e. the least significant difference) should be calculated and reported.
The minority issues are likely to be greatest in Romania and least significant in Poland and the Czech Republic.

Alternatives:

lowest place value digit
smallest place value digit
rightmost digit
end digit
trailing digit

This phrase is correct and can be used to refer to the final digit in a number that is important for accuracy or precision.

"last significant digit "

This phrase can be used to describe the final digit in a number that plays a crucial role in determining the accuracy or precision of a calculation or measurement.

Examples:

Make sure you record the last significant digit when measuring the length of the object.
The last significant digit in the result is crucial for determining the level of precision.

Show examples from the web [+]

These ECU exchange rates are rounded to the sixth significant digit.
The resulting rates shall be rounded to six significant digits.
All data per flight shall be used with all significant digits for calculation.
The least significant digit is 0,1 nits.
The exchange rate shall be expressed as the value of E1 using six significant digits for all currencies.
Emission factors shall be rounded to include only significant digits both for emission calculations and reporting purposes.
The estimation method will not always allow the three digits precision. In that case the value should be delivered with the significant digits only.
minimum, including rounding: corresponding to the least significant digit of the fare indication.
The exchange rates of the 11 euro area currencies so calculated had 11 significant digits, all of which were retained for maximum accuracy.
Directly measured or calculated values that are submitted for reporting on the ENERGY STAR website shall be rounded to the nearest significant digit as expressed in the corresponding specification limit.
All data per flights shall be rounded to include all significant digits for the purpose of calculating the distance and payload pursuant to Article 56 as well as reporting the tonne-kilometre data.
First, and in line with the regular concertation procedure, one euro area currency, namely the Deutsche Mark, was quoted against the US dollar according to prevailing market conventions (to 5 significant digits).
Activity data, emission factors and oxidation or conversion factors shall be rounded to include only significant digits both for emission calculations and reporting purposes.
listed therein but having a hazard code with three or more significant digits (not including any zero);
The overall accuracy of a meter is found by taking (±) the absolute sum of 2 % of the measurement and a 2-digit tolerance of the displayed value least significant digit.
The speed measurements at AA', BB', and PP' shall be noted and used in calculations to the first significant digit after the decimal place.
The vehicle speed readings at AA' and BB' shall be reported with the first significant digit after the decimal place (vAA, kj; vBB, kj).
(a) forest undisturbed by significant human activity, that is to say, forest where there has been no known significant human intervention or where the last significant human intervention was sufficiently long ago to have allowed the natural species composition and processes to have become re-established;
All are still experiencing double-digit unemployment rates amid moribund growth, and, as the last International Monetary Fund Fiscal Monitor made abundantly clear, all still suffer from significant debt problems.

Alternatives:

final significant digit
end significant digit
important digit
crucial digit
precision digit

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least significant digit vs last significant digit