13數字十進制 舊　13DigitDecimal Old

這計數機是在十進制系統中新增了三個數字③ ⑥ ⑨，看看有了這三個數值的數字的計算結果如何。
這三個數字是③=3.333...，⑥=6.666...，⑨=9.999...。

關於③和⑥：

十進制系統常用的數字是２和５，要避免使用３，因為會遇到不盡循環。事實是３的用途比５大。若在十進制中增加③和⑥兩個數字，例如發行＄③和＄０.③等貨幣單位，可以免去除以３所出現的麻煩，連除以６也一併解決。

關於⑨：

其實每個整數都有兩個無窮小數表示法，如
３ ＝ ３．０００…… ＝ ２．９９９……

如果配合③和⑥，在十進制數字中再增加一個⑨來代表９.９９９...，那麼，⑨和是１０相同數值的，⑨是個未進位的１０。人類自古以來是採用立即進位法，９之後是１０，所以缺乏未進位十的符號。未進位的１０，有什麼作用？

首先，例如叫做８０年代，是人們看見８０－８９都是８字，就視為同一組。這是對十個一組的誤用，因為不具十倍數的意義。

其次是電腦學的第０。十個一組，１至１０需要兩位數表示，０至９只需要一位數。所以強行把數字改為以第０開始，把問題解決，也會變得工整對稱（以１開始會不工整）。但是以０來代表第一個數字，這不合常理，也造成混亂。（需然電腦是二進制的，但情況是相同的。）

如果最小的單位不立即進位的話，即 ... ８ ９ ⑨ １１ １２ ...，這就消除了對十個一組的誤用，及１０需要兩位數表示的問題，亦合理地以１開始，而且同樣也會工整對稱。

任可意見請電郵至loengdzoenman@gmail.com


This calculator is adding three digits to normal decimal system.
The new three digits are ③=3.333...，⑥=6.666...，⑨=9.999...。

About ③ and ⑥

Decimal system always avoid to use 3, because it is easy to get unending figure, so use 2 and 5 instead. But in fact, 3 is more useful than 5. If we add ③ and ⑥ to our decimal system, for example, $③note and $0.③coin, it will solve the trouble of divided by three, and also divided by six.

About ⑨

In fact, every integer can express in two circulating decimals, e.g. 3 = 3.000... = 2.999.... To match with ③ and ⑥, if we add one more digit ⑨ to represent 9.999... in decimal system, ⑨ will be an un-carry 10. Human being developed number system with carry at once . What is the usage of un-carry 10?

First. For instance , "eighties" are people find that 80-89 begining with 8. It is a misunderstanding of "a group of ten". It is not multiple of ten.n

Second, zeroth in computing. In group of ten, 1-10 need two digits, but 0-9 only one. So, computing solve the problem by force to begin with 0 not 1. It also become symmetrically. However, to begin with 0 is against the common sense, and make trouble. (The situation is the same with binary system.)

If the smallest unit not carry at once, i.e. ... 8 9 ⑨ 11 12, it will eliminate misuse of group of ten, and problem of 10 with two digits. It also symmetrically.

Any comment, please email to loengdzoenman@gmail.com This counting machine is added ③ ⑥ ⑨ three figures in the decimal system, have a look at the three-digit numerical calculation outcome.
The three numbers are ③ = 3.333 ..., ⑥ = 6.666 ..., ⑨ = 9.999 ....

About ③ and ⑥:

Decimal system commonly used figures are 2 and 5, to avoid the use of 3, as it will encounter endless loop. The fact is that the use of 3 greater than 5. If the increase in ③ and ⑥ two numbers in decimal, such as issuing $ ③ and $ 0.③ other monetary units, can avoid the trouble arising dividing 3, 6 may be resolved even by dividing.

About ⑨:

In fact, every integer has two infinite decimal notation, such as
3 = 3.000 = 2.999 ...... ......

When combined with ③ and ⑥, in decimal numbers to add a ⑨ to represent 9.999 ..., then, ⑨ and is the same value 10, ⑨ is not carry 10. Since ancient times is the use immediately carry law, after 9 is 10, so the lack Tens of symbols into. No carry-out of 10, what role?

First, for example, called the 1980s, people saw 80-89 are 8-word, as the same group. This is a group of ten of misuse, because the meaning of non-tenfold numbers.

Followed by computer science 0. A group of ten, 1-10 require a two-digit, need 0-9 digits. So instead to force the digital section 0, to solve the problem, will become neat symmetry (starting with 1 will not neat). But to 0 to represent the first number, which is irrational, but also confusing. (Required course computer is binary, but the situation is the same.)

If the smallest unit does not immediately carry it, namely ... 8 9 ⑨ 11 12 ..., which eliminates the need for a group of ten misuse, and 10 issues that need two-digit and also a reasonable start with 1 but will also neat symmetry.

Please email any comments to be loengdzoenman@gmail.com


This calculator is adding three digits to normal decimal system.
The new three digits are ③ = 3.333 ..., ⑥ = 6.666 ..., ⑨ = 9.999 ....

About ③ and ⑥

Decimal system always avoid to use 3, because it is easy to get unending figure, so use 2 and 5 instead. But in fact, 3 is more useful than 5. If we add ③ and ⑥ to our decimal system, for example, $ ③note and $ 0.③coin, it will solve the trouble of divided by three, and also divided by six.

About ⑨

In fact, every integer can express in two circulating decimals, eg 3 = 3.000 ... = 2.999 .... To match with ③ and ⑥, if we add one more digit ⑨ to represent 9.999 ... in decimal system, ⑨ will be an un-carry 10. Human being developed number system with carry at once. What is the usage of un-carry 10?

First. For instance, "eighties" are people find that 80-89 begining with 8. It is a misunderstanding of "a group of ten". It is not multiple of ten. N

Second, zeroth in computing. In group of ten, 1-10 need two digits, but 0-9 only one. So, computing solve the problem by force to begin with 0 not 1. It also become symmetrically. However, to begin with 0 is against the common sense, and make trouble. (The situation is the same with binary system.)

If the smallest unit not carry at once, ie ... 8 9 ⑨ 11 12, it will eliminate misuse of group of ten, and problem of 10 with two digits. It also symmetrically.

Any comment, please email to loengdzoenman@gmail.com