## Count up in a somewhat complex way

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FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Count up in a somewhat complex way

So we have hex. We have binary. We have base 110. How could I make it more complex?

By changing the bases dependant on the digit.

The base will be (distance from decimal place + 1). So the ones place will count up in base 2, the tens place will be base 3, the hundreds will be base 4, etc.

Here's an example of the first ten posts:

1
10
11
20
21
100
101
110
111
120

etc.

I shall start:

1

LucasBrown
Posts: 299
Joined: Thu Apr 15, 2010 2:57 am UTC
Location: Poway, CA

### Re: Count up in a somewhat complex way

And I shall skip to 11, since you have so kindly put the first bundle up. To aid in this, let's put the number in base 10 in parentheses after the multibase number:
121 (11)

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

Very well.

200 (12)

LucasBrown
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Location: Poway, CA

### Re: Count up in a somewhat complex way

201 (13)

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

210 (14)

LucasBrown
Posts: 299
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Location: Poway, CA

### Re: Count up in a somewhat complex way

211 (15)

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

220 (16)

LucasBrown
Posts: 299
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Location: Poway, CA

### Re: Count up in a somewhat complex way

221 (17)

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

300 (18)

APolaris
Posts: 21
Joined: Wed Jan 05, 2011 6:39 pm UTC

### Re: Count up in a somewhat complex way

Wasn't the hundreds place supposed to be base 4?

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

Yes, which means it will increase to 1000 after 321. Also, please count along when you reply. Yours was 301 (19).

Mine is 310 (20)

coolguy5678
Posts: 16
Joined: Sat Feb 13, 2010 12:20 pm UTC

### Re: Count up in a somewhat complex way

311 (21)

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

320 (22)

LucasBrown
Posts: 299
Joined: Thu Apr 15, 2010 2:57 am UTC
Location: Poway, CA

### Re: Count up in a somewhat complex way

321 (23)

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

1000 (24, aka 4!)

LucasBrown
Posts: 299
Joined: Thu Apr 15, 2010 2:57 am UTC
Location: Poway, CA

### Re: Count up in a somewhat complex way

1001! (2510)

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

1010 (26)

pizzazz
Posts: 487
Joined: Fri Mar 12, 2010 4:44 pm UTC

### Re: Count up in a somewhat complex way

1011 (27)

As an aside, do we know if it is possible to produce all integers this way?

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

1020 (28)

Absolutely. I actually designed a similar counting system as a kind of code. It can work off any set of numbers agreed upon beforehand. IE pi * sqrt(14) to the eighth decimal place (or to as many places as the two calculators will show). If there's a 1, as in the example (11.754763358538997856165619429959), then the base would be greater than 10. In the example, it would be 11 (because 1 * 10 + next digit, which is 1).

Sean Quixote
Posts: 229
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

### Re: Count up in a somewhat complex way

Uhm, somebody is wrong here - either one of me or all of you , yeah, sure makes it seem like it's me, but... From what I understand we're supposed to do, and I'm at least pretty sure that I do, you've all been wrong since the very first post?

Here's the way that I see it:

12 - (110)
102 - (210)
112 - (310)
1002 - (410)
1012 - (510)
1102 - (610)
1112 - (710)
10002 - (810)
10012 - (910)
1013 - (1010)
1023 - (1110)
1103 - (1210)
1113 - (1310)
1123 - (1410)
1203 - (1510)
1213 - (1610)
1223 - (1710)
2003 - (1810)
2013 - (1910)
2023 - (2010)
2103 - (2110)
2113 - (2210)
2123 - (2310)
2203 - (2410)
2213 - (2510)
2223 - (2610)
10003 - (2710)
10013 - (2810)

10023 - (2910)

Shouldn't it be like this?

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

No. Not at all. Your number was 1021 (29). There is no single base for the entire number. It changes by the digit. It's this: 15042312.

My number is 1100 (30).

Sean Quixote
Posts: 229
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

### Re: Count up in a somewhat complex way

Oh. Okay, I might be thinking this is more complicated than it is...

So... Mine is...

1101 (31)

?

cjdrum
Posts: 113
Joined: Sun Dec 12, 2010 4:51 am UTC
Location: BACK

### Re: Count up in a somewhat complex way

11023 (32)

Wouldn't it make more sense to base the number system of the base 10 number?

Sean Quixote
Posts: 229
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

### Re: Count up in a somewhat complex way

Either I'm comfused yet again, or yours was supposed to be 1110 (32).

Which would make mine 1111 (33).

FourTael
Posts: 55
Joined: Wed Apr 14, 2010 3:36 pm UTC

### Re: Count up in a somewhat complex way

You got it right, Sean.

CJDrum: It's not a single base for all digits. It's a different base for each digit.

1120 (34)

Sean Quixote
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### Re: Count up in a somewhat complex way

1121 (35)

FourTael
Posts: 55
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### Re: Count up in a somewhat complex way

1200 (36)

Sean Quixote
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### Re: Count up in a somewhat complex way

1201 (37)

FourTael
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### Re: Count up in a somewhat complex way

1210 (38)

Sean Quixote
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### Re: Count up in a somewhat complex way

1211 (39)

FourTael
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### Re: Count up in a somewhat complex way

1220

Sean Quixote
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### Re: Count up in a somewhat complex way

1221 (41)

FourTael
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### Re: Count up in a somewhat complex way

1300 (42)

Sean Quixote
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### Re: Count up in a somewhat complex way

1301 (43)

FourTael
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### Re: Count up in a somewhat complex way

1310

Sean Quixote
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### Re: Count up in a somewhat complex way

1311 (45)

FourTael
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### Re: Count up in a somewhat complex way

1320 (46)

Sean Quixote
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### Re: Count up in a somewhat complex way

1321 (47)

FourTael
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### Re: Count up in a somewhat complex way

2000 (48)

Sean Quixote
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Location: Ubeki-beki-beki-beki-stan-stan

2001 (49)

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