13-Digit Decimal 13數字十進制 on Windows Pc

This counting machine is new in the decimal system, the three numbers ③ = 3.333 ..., ⑥ = 6.666 ..., ⑨ = 9.999 ..., take a look at the results of the calculation.

About ③ and ⑥:

Decimal system commonly used figures are 2 and 5, to avoid the use of 3, because often encounter endless loop. The fact is the use of 3 is larger 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 can also 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, and then increase in decimal numbers to represent a ⑨ 9.999 ..., then the same value ⑨ and 10, ⑨ is not carry 10. Since ancient times, humans carry law is adopted immediately, after 9 is 10, so the lack of position ten symbols into. No carry-10 What is the role?

First, for example, called the 1980s, is that people see 80-89 are 8-word, as the same group. This is a group of ten misuse, because it is not meaningful number of times.

Followed by computer science 0. A group of ten, 1-10 require a two-digit, need 0-9 digits. Therefore, in order to force the digital section 0, to solve the problem, will become neat symmetry (1 start 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 reasonably start with 1 , but will also neat symmetry.

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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" is people find that 80-89 beginning with 8. It is a misunderstanding of "a group of ten". It is not multiple of ten.

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 is also symmetrically.

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