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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,588

Does anyone have a name for

a number system where the

digits can be values larger

than the base? Here is an

example using base-2 places

but filling them with digits

up to 9. Each four digit

number shown below has a

value of 68 in base-10.

8's 4's 2's 1's place

7 3 0 0

6 3 4 0

4 5 7 2

1 9 9 6

8 1 0 0

1 9 8 8

**igloo** **myrtilles** **fourmis**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,205

I don't know what made you think of this idea. In base-n system, numbers greater than or equal to n are 'banned'.

Anyway, the illustration given by you was interesting.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,664

Interesting concept. So they can't be called "base-n", but any mathematical concept is still valid of course. And there may even be a name for it that I don't know of.

In fact they can be expressed as polynomials:

7a³ + 3a² + 0a + 0

6a³ + 3a² + 4a + 0

etc..

Where a=2

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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