#base-16

[letsnui]

Numbers - Positional Numbers

I'm bored, so here's part II of Nuim's number system.

While one can make large numbers in Nuim with umru and sotci, there is another, somewhat simpler system that can be used.  This system is based on how the numbers look when written out and effectively puts each number in a "place."  The places are as follows.

Place, Scientific Notation, Base-8 Representation

sokayu, 0x8^0, _

afruyu, 0x8^1, _0

pefayu, 0x8^2, _00

fuasi, 0x8^3, _ 000

cukasi, 0x8^4, _0 000

himomi, 0x8^5, _00 000

nocami, 0x8^6, _ 000 000

umruyu, 0x8^7, _0 000 000

umru sokayu, 0x8^8, _00 000 000

umru afruyu, 0x8^9, _ 000 000 000

umru pefayu, 0x8^10, _0 000 000 000

...

sotciyu, 0x8^15, _ 000 000 000 000 000

sotci sokayu, 0x8^16, _0 000 000 000 000 000

sotci afruyu, 0x8^17, _00 000 000 000 000 000

...

asotciyu, 0x8^31, _0 000 000 000 000 000 000 000 000 000 000

...

Number, English, Base-8 Representation

soka sokayu, one, 1

soka afruyu, eight, 10

afru pefayu, one-hundred-twenty-eight, 200

afru fuasi, one-thousand-twenty-four, 2000

umru soka afruyu, seventy-two, 110

sotci afru sotciyu, a-big-number, 22 000 000 000 000 000

You can also use multiple places in a single number, like so.

Number, English, Base-8 Representation

soka afruyu soka sokayu, nine, 11

soka pefayu afru afruyu pefa sokayu, eighty-three, 123

fuas fuasi pefa pefayu afru afruyu soka sokayu, two-thousand-two-hundred-fifty-seven, 4321

It's best to use this positional system only when you have to.  As you can see, while it's very powerful, it can also be very wordy.

[letsnui]

Numbers

So the locative applicative marker kind of jumped from pe, to yo, back to pe again, but lets not worry about that.  Lets worry about numbers instead.  Nuim is base-8, which means you count one, two, three, ..., seven, eight, eight-one, eight-two, eight-three, etc.  Its also base-16; so once you reach sixteen, you sort of stay there.  Lets start with just the numbers one through eight.

Number, English

soka, one

afru, two

pefa, three

fuas, four

cukas, five

himom, six

nocam, seven

umru, eight

Number, English

umru soka, nine

umru afru, ten

umru pefa, eleven

umru fuas, twelve

umru cukas, thirteen

umru himom, fourteen

umru nocam, fifteen

Like eight, sixteen has its own number: sotci.  The numbers seventeen through twenty-four are just like nine through fifteen; follow sotci, sixteen, with another number.

Number, English

sotci soka, seventeen

sotci afru, eighteen

sotci pefa, nineteen

sotci fuas, twenty

sotci cukas, twenty-one

sotci himom, twenty-two

sotci nocam, twenty-three

sotci umru, twenty-four

From twenty-five onwards, things get a bit stranger.  Follow sotci, sixteen, with one of the numbers nine through fifteen.

Number, English

sotci umru soka, twenty-five

sotci umru afru, twenty-six

sotci umru pefa, twenty-seven

sotci umru fuas, twenty-eight

sotci umru cukas, twenty-nine

sotci umru himom, thirty

sotci umru nocam, thirty-one

Thirty-two onward is even weirder.  Start with asotci, thirty-two, and follow it with one of the numbers one through fifteen.

Number, English

asotci, thirty-two

asotci soka, thirty-three

asotci afra, thirty-four

...

asotci umru, forty

asotci umru soka, forty-one

asotci umru afra, forty-two

...

asotci umru nocam, forty-seven

After forty-seven comes pesotci, forty-eight.  All the *sotci numbers are as follows.

Number, English

sotci, sixteen

asotci, thirty-two

pesotci, forty-eight

fusotci, sixty-four

cusotci, eighty

hisotci, ninety-six

nosotci, one-hundred-twelve

usotci, one-hundred-twenty-eight

umru asotci, one-hundred-forty-four

...

umru nosotci, two-hundred-forty

sotci sotci, two-hundred-fifty-six

You can keep on stacking up sotcis, but there's an easier way.  One that I'll tell you about later.