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Decimal Digit


A decimal digit is one of the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 used in the decimal numeral system. Their standard written forms are the Arabic numerals.

In a decimal expansion, a decimal digit d in a position with place value 10^k contributes d10^k to the represented number, where k is an integer. For example, the decimal expansion 375.4 has four decimal digits and represents

 375.4=3×10^2+7×10^1+5×10^0+4×10^(-1).

A decimal digit is distinct from its position and its contribution to the number. The decimal digit 7 in this example occupies the tens place and contributes 70, while the same decimal digit in the units place would contribute 7. The decimal point separates the units and tenths places and is not a decimal digit.

The corresponding symbols in the binary numeral system are the binary digits 0 and 1. Their place values are powers of 2 instead of powers of 10.


See also

Arabic Numeral, Base, Binary Digit, Decimal, Decimal Expansion, Decimal Point, Digit, Expanded Notation, Numeral System

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References

Langfield, S. and Duddell, D. Cambridge International AS and A Level Computer Science Coursebook. 2nd ed. Cambridge: Cambridge University Press, §1.01, 2019. https://assets.cambridge.org/97811087/33755/excerpt/9781108733755_excerpt.pdf.

Cite this as:

Weisstein, Eric W. "Decimal Digit." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DecimalDigit.html

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