Number systems: when 1 is greater than 1

As i mentioned before you can go for an other number system (http://en.wikipedia.org/wiki/Field_%28mathematics%29) than the standard decimal. The Fibunacci-System as i named it creates a line of numbers which represants the possible maximum at the given place. An Example

Fibunacci generated Places 1 1 2 3
Valid Range on given place 0 – 1 0 – 1 0 – 2 0 – max of place
Fibunacci number 1 0 2
Decimal 5 1 0 4 0
Fibunacci number 1 1 1
Decimal 6 1 0 2 3

The Rule for calculate a fib-number  to a decimal is Sum over all places(placenumber * number)

As you see the Fibunacce 10 is greater than fib 1 – recalculated to decimal it means 1 > 1. Looks a bit awkwards. How can one apple be bigger than one apple  – maybe he is bigger – 🙂

This system creates every decimal number more than once. Some of the people i talked about it found this realy not easy to understand.

But i think we are used to our time and date number system which is indeed  a number system persisting not on a sequence rather than a mixed set (which kids really have their issues to learn):

lesser than seconds seconds minutes hours days year
10 exp -n 60 60 24 356,25 10 exp n

Not a step closer to my prime problem but fun it is still 😀

Number systems: when 1 is greater than 1

Schreibe einen Kommentar

Deine E-Mail-Adresse wird nicht veröffentlicht. Erforderliche Felder sind mit * markiert.

Diese Website verwendet Akismet, um Spam zu reduzieren. Erfahre mehr darüber, wie deine Kommentardaten verarbeitet werden.