Digit least significant

Data are presented in their fuU precision, although often no more than the first four or five significant digits are used figures in parentheses represent the standard deviation uncertainty in the least significant digits. 

Numbers in parenthesis in this and all following tables refer to the error in the least significant digits. 

Bond distances (a-e) in A and interbond angles (a-e) in degrees numbers in parentheses are the estimated standard deviations in the least significant digit. Data taken from Reference 194. 

Solution. After dividing the number by 2, the remainder is noted in each step. The last remainder will make most significant digit and first remainder as least significant digit. 

In the second example, a b the range of uncertainty b indicated in parenthesis is assumed to apply to the least significant digits of a. It is recommended that this notation be reserved for the meaning that b represents 1 a in the final digits of a. The third example implies a less precise estimate of uncertainty, which would be read as between 1 and 9 in the subscripted digit. In any case the convention used for uncertainties should be clearly stated. 

The following values were recommended by the CODATA Task Group on Fundamental Constants in 1986 [70]. For each constant the standard deviation uncertainty in the least significant digits is given in parentheses. 

XR = X-ray diffraction ED = electron diffraction. COt = terminal CO. COb = bridging CO. Niunber in parentheses refers to the estimated standard deviation in the least significant digit. Disordered structure. 

Esiimated standard deviations of the least significant digit(s) are given in parentheses heie and in Tables III. V. and VI. b ... 

Estimated standard deviation of the least significant digit(s) is given in parentheses here and in the following tables. Tlie form of the ... 

V Present work, f (t) indicates tetramer and (h) hexamer. Numbers in parentheses are the estimated standard deviations for the least significant digits. 

Here is the value with random noise added, Xi is the original data value, L is the step size of the value scale (least significant digit (e.g., L = 0.1 if laboratory results are reported to one decimal place), and r,- is a random number between 0.0 and 1.0. 

M—C bond lengths are in Angstroms. Figures in parentheses are error estimates, occurring in least significant digit. 

Evidently the error given in parentheses on the left side applies to the least significant digits. 

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