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## #1 2005-09-01 09:50:42

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

### overflowing base-2 ?

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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## #2 2005-09-01 17:04:55

ganesh
Registered: 2005-06-28
Posts: 26,844

### Re: overflowing base-2 ?

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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## #3 2005-09-01 18:49:57

MathsIsFun
Registered: 2005-01-21
Posts: 7,686

### Re: overflowing base-2 ?

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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