is an integer in the range 0 to (R – 1) and the number is interpreted as anRn + an–1Rn–1 + … + a1R1 + a0R0
Since this is a polynomial in R, such numbers are sometimes called polynomial numbers. The decimal and binary systems are both fixed-radix systems, with a radix of 10 and 2, respectively.
Fractional values can also be represented in a fixed-radix system. Thus, ·a1a2…an
is interpreted as a1R–1 + a2R–2 + … + anR–n
In a mixed-radix (or mixed-base) system, the digit ai in any number anan–1…a0
lies in the range 0 to Ri, where Ri is not the same for every i. The number is then interpreted as (…((anRn–1) + an–1)Rn–2 + … + a1)R0 + a0
For example, 122 days 17 hours 35 minutes 22 seconds is equal to (((((1×10) + 2)10 + 2)24 + 17)60 + 35)60 + 22 seconds
"number system." A Dictionary of Computing. . Encyclopedia.com. (February 25, 2018). http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/number-system
"number system." A Dictionary of Computing. . Retrieved February 25, 2018 from Encyclopedia.com: http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/number-system
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"number systems." The Concise Oxford Dictionary of Music. . Encyclopedia.com. (February 25, 2018). http://www.encyclopedia.com/arts/dictionaries-thesauruses-pictures-and-press-releases/number-systems
"number systems." The Concise Oxford Dictionary of Music. . Retrieved February 25, 2018 from Encyclopedia.com: http://www.encyclopedia.com/arts/dictionaries-thesauruses-pictures-and-press-releases/number-systems