positional representation

(mathematics)The conventional way of writing numbers as astring of digits in which each digit, D, has value D * R^I,where R is the radix or (number) base and I is the digit'sposition counting leftward from zero at the least significant(right-hand) end. Each digit can be zero to R-1. Eachposition has a weight or significance R times greater than theposition to its right and the right-most place has a weight ofone.

Decimal numbers are radix ten, binary numbers are radix two,octal radix eight and hexadecimal radix 16.

Positional representation makes arithmetic operations on largenumbers much easier than, say, roman numerals. It isfundamental to the binary representation used by digital computers.

单词	positional representation
释义	positional representation positional representation (mathematics)The conventional way of writing numbers as astring of digits in which each digit, D, has value D * R^I,where R is the radix or (number) base and I is the digit'sposition counting leftward from zero at the least significant(right-hand) end. Each digit can be zero to R-1. Eachposition has a weight or significance R times greater than theposition to its right and the right-most place has a weight ofone. Decimal numbers are radix ten, binary numbers are radix two,octal radix eight and hexadecimal radix 16. Positional representation makes arithmetic operations on largenumbers much easier than, say, roman numerals. It isfundamental to the binary representation used by digital computers.
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