Comments on post #439608

@ChaozZBubi on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2014-07-22T19:02:35-04:00

CookieYome said:

simply put, base nine has the following numbers before converting into 10:
1 2 3 4 5 6 7 8

base ten, the number system we all know and use in daily life has:
1 2 3 4 5 6 7 8 9

You forgot the most important digit in both cases: Zero
So base 9 are the digits 0 to 8 (nine digits) and base 10 are the digits 0 to 9 (ten digits).

@CookieYome on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2014-05-30T23:15:37-04:00

Rinotheuke said:

Is base 9 handled simply by not counting the 9? Or is there something greater to it? Because I'm looking at the 5+4=10 and it's kinda bothering me in the sense that I can't figure out base 9.

not counting 9 and above, thus 9 is considered 10

simply put, base nine has the following numbers before converting into 10:
1 2 3 4 5 6 7 8

base ten, the number system we all know and use in daily life has:
1 2 3 4 5 6 7 8 9

of course, this means that base 2, base 3, or even base 16 is calculable.

If you haven't played with numbers bases yet, either google or ask your math teacher about the syllabus. It's quite fun.

@Rinotheuke on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2014-01-29T00:41:06-05:00

Is base 9 handled simply by not counting the 9? Or is there something greater to it? Because I'm looking at the 5+4=10 and it's kinda bothering me in the sense that I can't figure out base 9.

@uchuunamako on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2013-01-03T21:00:06-05:00

Guedez said:
8*12 in base 9.. fucking hurt my head to try doing it by head.

think of divisions with decimals

Not difficult if you convert it to base 10, since 8 is the same both ways, and 81 (b10) is 100 (b9).

But non-integers in alternate bases make my head asplode.

@Guedez on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2012-10-04T20:31:56-04:00

8*12 in base 9.. fucking hurt my head to try doing it by head.

think of divisions with decimals

@KasaneTeddo on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2012-07-02T20:28:24-04:00

Gawd, I already asked my teacher (head teacher of the math department at our school) about base 9 and I can't still understand it... Guess my 3rd year mind isn't ready yet.

@Indefinity on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2012-06-01T05:56:54-04:00

Dear god. My mind is scattered all over the place.

@etb on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2012-03-30T07:10:35-04:00

Exactly as you do with base 10, but you have to learn the multiplication table in base 9 to be comfortable to do it.

Like:
2*4 = 8
2*5 = 11
2*6 = 13
2*7 = 15
2*8 = 17
3*0 = 0
3*1 = 1
3*2 = 6
3*3 = 10
... etc.

Once you got your 9x9 multiplication table well placed in memory (or written in a sheet) you can multiply as usual.

@Zhuo_Xing on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2012-02-24T01:29:55-05:00

How do you multiple in based ⑨?

@Piemur1 on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-08-21T20:48:15-04:00

Kitsunemimi said:
It may be an amazing discovery that Cirno does everything in base 9, but one can't help but wonder how Keine realized in the first place that they might be in base 9.

When she saw Cirno wrote 5+4=10, and possibly considered for a moment that she carried the 9. Thats when Keine realized that she was using base 9 and was solving the others using her fingers to double-check that theory.

@Kitsunemimi on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-08-15T17:00:08-04:00

It may be an amazing discovery that Cirno does everything in base 9, but one can't help but wonder how Keine realized in the first place that they might be in base 9.

@GenerationZero on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-07-07T06:21:09-04:00

Ande said:
I'm having a little trouble grasping this.

25 = 27 in base 9

36 = 40 in base 9

So wouldn't 27 + 40 be 67?

To clarify on what norezdu said using your example:

25 is already in base 9, so 25 base 9 = 23 base 10.
Similarly, 36 base 9 = 33 base 10.

23 + 33 = 56 in base 10; convert 56 to base 9, and you get 62. Unless the equation specifically says otherwise, all parts of a calculation must be done in the same base for it to be correct, whether that be binary, nonary, decimal, hexadecimal or any other base.

You got your maths right, but you made a common mistake - one I've made many times - so don't feel bad about it.

@noredzu on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-07-06T13:25:20-04:00

25 and 36 are already in base 9
there is no conversion needed

therefore you just add the digits as per normal and carry when needed

50 +(5+6)
5+6 is 11 in base 10, but in base 9 it would be 12

so 50+12 = 62

@Ande on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-07-05T21:47:21-04:00

I'm having a little trouble grasping this.

25 = 27 in base 9

36 = 40 in base 9

So wouldn't 27 + 40 be 67?

@dragonmanj on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-06-16T06:53:51-04:00

Saphyr said:
Cirno's theory on 9

my god... my mind...i can grasp this... you sir take this card it its to my bank of internets you deserve them

@The_Shadow on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-06-14T19:51:48-04:00

Saphyr said:
Mind bending amazement

All my internets?

ALL OF THEM.

@KyteM on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-02-08T20:12:33-05:00

Saphyr said:
Lots of stuff

This officially my head-canon regarding Cirno.

@lily_white on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-01-31T15:28:23-05:00

Saphyr said:
:words:

All of my internets. You win them. You earned it.

@PK678353 on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-01-30T01:09:58-05:00

I love this (and prefer misunderstood Cirno to plain dumb Cirno).

If ternary computers weren't impractical (or at least hard to do well), I think we'd actually use base 9 similar to hexadecimal.

@Saphyr on post #439608 (cirno, rumia, kamishirasawa keine, and daiyousei (touhou) drawn by maiku)

2011-01-29T21:23:21-05:00

lily_white said:
SCIENTIFIC QUESTION:

If you had Cirno an equation with a 9 in one of the operands, will she write "NaN"? Or will her head explode?

Inquiring minds would like to know!

I had Keine conduct a few mathematical experiments for me to confirm my own hypothesis; don't ask how I ended up there, but this question stayed fresh in my mind as I entered the village (Reimu later had me leave, but she allowed enough time to conduct my experiment... a rather decent girl when you have enough pocket change on you...):

If the "9" happens to be found in between two other digits, Cirno will remark that the problem has been miswritten. We partly discovered this when asking her to solve the problem 94 + 12 = ___; she said we did something funny with the setup, erased the "9" next to the 4, and placed it on the right-hand side of the 4... (the natural format by which an "x" would go next to a coefficient in an algebraic equation; we later saw that she was absolutely perplexed by setups with "9" in-between two digits, looking at us with eyes that are meant to be cast upon insane people).

We then had her try to solve the equation she had setup: 49 + 12 = ___.

She asked for us to fill in the other side of the equation for her after an awkward pause as she looked upon us with a face that said, "what exactly do you expect me to do with this?"
We displayed the correct answer in decimal for her: 49 + 12 = 61; we were about to call it a day and resume the usual class schedule until Cirno finally started marking the board: 49 = 61 - 12 = 48...

At this point, while we were mindful of the fact that Cirno worked in base 9, we felt the unfortunate need to remark to her that "forty-nine does not equal forty-eight", upon which Cirno looked at us and said in a surprisingly matter-of-fact tone, "of course it doesn't...but what does that have to do with this?", leaving us flustered at our apparent stupidity for a moment as we watched her CONTINUE to work the problem: 9 = 48/4 = 12.

At this point it became clear that the "9" was indeed being treated as a variable in the equation... and Cirno had performed a completely correct subtraction and division in base 9 to do it.

The number would not register as having the same significance to Cirno as the rest of us with consideration of its value in the decimal system to represent a particular quantity. Rather, she'd assume, since the number "9" could technically count as a letter or a symbol of some sort, that "9" is a variable that she must solve for by algebraic or other means.