Re: What's my base?
- From: klewis@xxxxxxxxxxxxxxx (Keith A. Lewis)
- Date: Thu, 19 Jan 2006 13:34:12 +0000 (UTC)
"Mike" <mep0716@xxxxxxxxx> writes in article <1137645336.311789.84760@xxxxxxxxxxxxxxxxxxxxxxxxxxxx> dated 18 Jan 2006 20:35:36 -0800:
>A=10, B=11, C=12, D=13, etc.
>
>Lets say my base is 10:
>
>BAD = (11) x 10 ^ 2 + (10) x 10 ^ 1 + (12) x 10 ^ 0 = 1100 + 100 +
>12 = 1212
>
>Now consider the following 'numbers:'
>
>BIG = ?
11 18 16
>ODD = ?
24 13 13
>BASE = ?
11 10 28 14
>NAB = ?
23 10 11
>PRIME = ?
25 27 18 22 14
>If more then one of these are prime, whats my base?
NAB and ODD have even parity, so it can only be prime (odd) in an even base.
BIG and BASE have even last digits, so if they are prime (or just odd) in a
base, that base must be odd.
PRIME has even parity, and the last digit is even. That means it's an even
number in any base.
--Keith Lewis klewis {at} mitre.org
The above may not (yet) represent the opinions of my employer.
.
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