Hanin Altarhuni
8 years ago

Both binary and decimal systems are positional systems state what mean by a positional numbering system and give an example of non positional numbering system ?

Solution (By Examveda Team)

A positional (numeral) system is a system for representation of numbers by an ordered set of numerals symbols (called digits) in which the value of a numeral symbol depends on its position. For each position a unique symbol or a limited set of symbols is used.

In a non-positional number system, each number in each position does not have to be positional itself. ... For example, the Egyptians use Hieroglyphics, and the Greeks use a numeral system

An example of non positional number system is the number system of Romans. Here different letters have always the same value. For instance 3 is III, so the letter I has always the same value, 1.
For instance 4 is IV, where V means 5 but the other number I before subtracts 1 to it, yielding 4.
As you can see I is always 1 as V is always 5: the position dictates rules to manipulate the symbols, not their value.

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