## Count up in a somewhat complex way

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### 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
FourTael

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

### 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)
makes a complete sentence when preceded by itself in quotes

I am often scatterbrained and therefore make frequent use of the edit button. If you're replying within a few minutes of my post, there's a strong chance it changed between your clicking "reply" and "submit".

LucasBrown

Posts: 227
Joined: Thu Apr 15, 2010 2:57 am UTC
Location: Right behind you

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

Very well.

200 (12)
FourTael

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

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

201 (13)
makes a complete sentence when preceded by itself in quotes

I am often scatterbrained and therefore make frequent use of the edit button. If you're replying within a few minutes of my post, there's a strong chance it changed between your clicking "reply" and "submit".

LucasBrown

Posts: 227
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Location: Right behind you

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

210 (14)
FourTael

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

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

211 (15)
makes a complete sentence when preceded by itself in quotes

I am often scatterbrained and therefore make frequent use of the edit button. If you're replying within a few minutes of my post, there's a strong chance it changed between your clicking "reply" and "submit".

LucasBrown

Posts: 227
Joined: Thu Apr 15, 2010 2:57 am UTC
Location: Right behind you

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

220 (16)
FourTael

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

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

221 (17)
makes a complete sentence when preceded by itself in quotes

I am often scatterbrained and therefore make frequent use of the edit button. If you're replying within a few minutes of my post, there's a strong chance it changed between your clicking "reply" and "submit".

LucasBrown

Posts: 227
Joined: Thu Apr 15, 2010 2:57 am UTC
Location: Right behind you

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

300 (18)
FourTael

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

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

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

Posts: 21
Joined: Wed Jan 05, 2011 6:39 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)
FourTael

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

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

311 (21)
coolguy5678

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

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

320 (22)
FourTael

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

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

321 (23)
makes a complete sentence when preceded by itself in quotes

I am often scatterbrained and therefore make frequent use of the edit button. If you're replying within a few minutes of my post, there's a strong chance it changed between your clicking "reply" and "submit".

LucasBrown

Posts: 227
Joined: Thu Apr 15, 2010 2:57 am UTC
Location: Right behind you

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

1000 (24, aka 4!)
FourTael

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

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

1001! (2510)
makes a complete sentence when preceded by itself in quotes

I am often scatterbrained and therefore make frequent use of the edit button. If you're replying within a few minutes of my post, there's a strong chance it changed between your clicking "reply" and "submit".

LucasBrown

Posts: 227
Joined: Thu Apr 15, 2010 2:57 am UTC
Location: Right behind you

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

1010 (26)
FourTael

Posts: 55
Joined: Wed Apr 14, 2010 3:36 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?
pizzazz

Posts: 487
Joined: Fri Mar 12, 2010 4:44 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).
FourTael

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

### 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?

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

### 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).
FourTael

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

### 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)

?

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

### 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?

cjdrum

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

### 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).

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

### 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)
FourTael

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

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

1121 (35)

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

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

1200 (36)
FourTael

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

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

1201 (37)

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

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

1210 (38)
FourTael

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

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

1211 (39)

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

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

1220
FourTael

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

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

1221 (41)

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

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

1300 (42)
FourTael

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

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

1301 (43)

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

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

1310
FourTael

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

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

1311 (45)

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

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

1320 (46)
FourTael

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

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

1321 (47)

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

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

2000 (48)
FourTael

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

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

2001 (49)

Sean Quixote

Posts: 212
Joined: Tue Sep 14, 2010 1:20 am UTC
Location: Ubeki-beki-beki-beki-stan-stan

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