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most significant digit
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(Definition)
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The most significant digit of a number written in a given positional base is the digit in the most significant place value, and has to be in the range
. In the case of an integer, the most significant digit is the 's place value, where is the total number of digits, or
.
In an array of digits long meant for mathematical manipulation, it might be convenient to index the least significant digit with index 1 or 0, and the more significant digits with larger integers. (This enables the calculation of the value of a given digit as rather than
.) For an array of digits meant for text string manipulation, however, the most significant digit might be placed at position 0 or 1 (for example, by Mathematica's IntegerDigits function).
In binary, the most significant digit is often called the most significant bit.
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"most significant digit" is owned by PrimeFan.
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(view preamble)
Cross-references: binary, function, Mathematica's, string, least significant digit, index, integer, range, place, digit, base, number
There are 7 references to this entry.
This is version 1 of most significant digit, born on 2007-03-27.
Object id is 9122, canonical name is MostSignificantDigit.
Accessed 457 times total.
Classification:
| AMS MSC: | 11A63 (Number theory :: Elementary number theory :: Radix representation; digital problems) |
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Pending Errata and Addenda
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