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## Octomatics — The New New Math

It’s hard to tell how serious these people are about creating a new number system, but the effort is worthy of a little appreciation: introducing **Octomatics**!

Octomatics offers a new numeral systems that enjoys a visual addition method and a smaller multiplication table. They’ve also defined a new clock, a new calendar, and they’ve prototyped a new calculator!

Truth be told, I’ve always secretly desired a new clock and calendar system–one that wasn’t so archaic and contrived. I’m not getting my hopes up, though; Octomatics looks less like a paradigm shift and more like Esperanto to me.

*Click here to see more in Appreciation.*

Just had an “epiphany”. As long as you make sure to carry the excess digits (Carry the ones), you can add, subtract,divide, or multiply pretty much any base. Although that base eight system would have definitely made the binary conversion test in digital electronics way easier. Though, even if that is true I doubt it’ll be easy to explain the concept to infants as easily as a base 10 system.

Dear Ahmed,

I think you will learn from experience that infants naturally understand octal-binary!

The idea that each column (in binary arithmetic)

has a value half or double of the neighboring column is such a simple idea…

What children have problems with is understanding why we use such a stupid, complicated math system…

Of course, many children are too wise to call us stupid…

I repent.

I apologize for using the word “stupid”.

Perhaps I should say “un-informed”.

Dear Ahmed,

It sounds like

you might be a genius

in math.

Please

ASK THE CREATOR

to teach you more…

HE (Blessed be HIS NAME)

IS FAR MORE INTELLIGENT

than we…

In octal-binary,

please consider the number

of days in a year.

Apparently,

the “nominal” dimension

is

365.2421875 days.

Please convert that to

octal:

555`174

and then look at it

in octal-binary.

I don’t know if this will post in three columns correctly:

1/128

1/16 1/32 1/64

1/8

———————

4 1

32 8

256 64

If you add up the above 11 values:

256 + 64 + 32 + 8 + 4 + 1 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128

it equals 555`174 (octal)

or in decimal

365.2421875

That is how THE CREATOR designed this planet:

365.2421875 days per year.

The internet rounds it off as 365.2422 days per year…

There is more…

Roy D. Matheson

(559) 432-4278 Fresno, California, USA

I want to re-do the 555`174

1/128

1/16……1/32……1/64

………………………1/8

——————————

4……………………..1

32…………………….8

256……………………64

If only I could get the columns

to post as clean, straigh columns…

The above was taught to me

by Douglas Matheson

back around 1971.

I wish I knew how

to make the octal-binary

post correctly

in three columns,

so you can see the pattern:

Here is the basic pattern.

It extends to infinity

in both directions.

Please notice that it goes from right-to-left,

as in Arabic and…

Each value is twice as large

as the previous value.

In other words, these are 2^N power:

1,2,4,8,16,32,64,128,256…

I don’t know if this will post

in three neat columns.

I like to arrange them

in octal-binary

like this:

…

…

…

… (Please don’t forget! Right-to-left, like Arabic!)

…

1/128 1/256 1/512 = 8^(0-3)

1/16 1/32 1/64 = 8^(0-2)

1/2 1/4 1/8 = 8^(0-1)

—————————-

4 2 1 = 8^0

32 16 8 = 8^1

256 128 64 = 8^2

2k k k/2 = 8^3 Note: Here, k = 1,024 = 2^10.

16k 8k 4k = 8^4 “k” facilitates mental approximations.

128k 64k 32k = 8^5 (fast, in-your-head math)

k^2 (k^2)/2 256k = 8^6

8k^2 4k^2 2k^2 = 8^7

64k^2 32k^2 16,777,216 = 16k^2 = 8^8

512k^2 256k^2 128k^2 = 8^9

At this moment,

I see zero errors-of-fact

in the above

octal-binary

“basic chart”.

(signed) rm2

8:48 A.M. California time

Sorry!

The three columns

were “smashed” together

by somebody’s software…

I guess I could have used dots

to separate the columns, like this:

1/16……1/32…..1/64 = 8^-2

1/2…….1/4……1/8 = 8^-1

..4………2…….1 = 8^0

.32……..16…….8 = 8^1

256…….128……64 = 8^2

Sorry I didn’t think of that sooner!

I still wish

I could show that table

with neat, straight collumns.

If you can do spreadsheets,

you can quickly generate

your own (for the integers).