Friday, February 23, 2007

Numbers Systems - Positional and Non-Positional

A positional notation numeral system in which each position is related to the next by a constant multiplier of that numeral system. For each position that the number is in, in that system has a relative symbol or meaning, and in a way relates to the number directly next to it. The total value of a positional number is the total of the resultant values of all positions.

In a non-positional number system, each number in each position does not have to be positional itself. Every system varies by country and it depends on symbols and values set by the people of that country. For example, the Egyptians use Hieroglyphics, and the Greeks use a numeral system.

The binary conversion of the number 529 is 1000010001. This is done by using the power of 2. By taking each number up until the number 10, which is 1024 if 2^10=1024. Then, by using the power of two, and only the numbers 1 and 0 in the binary system, you can convert the number 529. It is difficult to describe the actual number conversion, however by using the power of two and dividing each number into consecutive numbers up to 10, you can convert it very easily.

Also, for the binary number 110010101, it equals orrepresents:
256 + 128 + 16 + 4 + 1
Consequently, the corresponding answer is 405, when using the rules described above.

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