binary (numeration) system
The fixed radix numeration system that uses the bits 0 and 1 and the radix two.
Example: In this numeration system, the numeral 110,01 represents the number "6,25"; that is 1 x 2-2 + 1 x 2-1 + 1 x 2-2.
fixed radix (numeration) system
fixed radix notation
A radix numeration system in which all the digit places, except perhaps the one with the highest weight, have the same radix.
1. The weights of successive digit places are successive integral powers of a single radix, each multiplied by the same factor. Negative integral powers of the radix are used in the representation of factors.
2. A fixed radix numeration system is a particular case of a mixed radix numeration system; see also Note 2 to 05.03.19.
base (deprecated in this sense)
In a radix numeration system, the positive integer by which the weight of any digit place is multiplied to obtain the weight of the digit place with the next higher weight.
Example: In the decimal numeration system the radix of each digit place is 10.
NOTE - The term base is deprecated in this sense because of its mathematical use (see definition in 05.02.01).
radix (numeration) system
A positional representation system in which the ratio of the weight of any one digit place to the weight of the digit place with the next lower weight is a positive integer.
NOTE - The permissible values of the character in any digit place range from zero to one less than the radix of that digit place.
In a positional representation system, the factor by which the value represented by a character in a digit place is multiplied to obtain its additive contribution in the representation of a number.
In a positional representation system, each site that may be occupied by a character and that may be identified by an ordinal number or by an equivalent identifier.
positional (representation) system
Any numeration system in which a number is represented by an ordered set of characters in such a way that the value contributed by a character depends upon its position as well as upon its value.
In particular, are the following five implementations allowed?