Monday, November 09, 2009

新創數字系統 / New Number System

In response to Kempton's October 24, 2009 math game, I developed a proposed "operator" that should work to solve his problem. Here is the exchange for the record:

(A) Kempton's Challenge:

香港 (八港) – 新創數字系統 (數字遊戲)



一= 八

二= 八八

三= 八八八

四= 八八八八

五= 八八八八八

六= 八八八八八八

七= 八八八八八八八

八= 八八八八八八八八

九= 八八八八八八八八八

十 = 八八八八八八八八八八

十一 = 八八八八八八八八八八八

( 八八八 ) 乘 ( 八八 ) = 八八八八八八

( 八八八八八八八) 加 ( 八 ) = 八八八八八八八八



有興趣的讀者可以在 comment 玩一吓呢個數字遊戲。

(B) My October 26, 2009 Response:


It is definitely feasible to have a new system that is based on the number 8. The challenge is to link the new base-8 system to the existing number system being used outside of Hong Kong. Let me try ….

Let Xn denotes the number n, where n = 1,2,3,4,..

Proposed operator to map the two systems:
Xn = (8)*[sum of: 10exp(n-1), 10exp(n-2), 10exp(n-3), ... , 10exp(n-n)]

X4 = (8)*[10exp(3)+10exp(2)+10exp(1)+10exp(0)]
= (8)*[1000+100+10+1]
= 8888
X3 = (8)*[10exp(2)+10exp(1)+10exp(0)] = 888
X2 = (8)*[10exp(1)+10exp(0)] = 88
X1 = (8)*[10exp(1-1)] = 8

IMHO, the proposed operator should work.

Kempton's Blog: 香港 (八港) – 新創數字系統 (數字遊戲)


新鮮人 said...


Anonymous said...

I have been checking out banquet menu in Hong Kong. The price always ends with $888. Like HK$7888, 4888, 5888. Do Chinese restaurants in north America do the same? Probably, eh? We can all use a little bit of good luck :-)


Anonymous said...



Anonymous said...



Haricot 微豆 said...


> 地產商在自欺欺人,但有人喜歡喎


Haricot 微豆 said...

Exile: Yes, quite a few Chinese restaurants here use the number 8 a lot to imply 發 (as in 發財丶發達)。I suppose it's all for fun and good luck altho the focus seems to be more on making money than anything else.

Haricot 微豆 said...


>> ... 隔岸觀火唉!!

遠水亦不能救近火,身在香港的 Space 兄努力啊!

Haricot 微豆 said...


I am sure you must have taken similar courses in Cambridge :)

Justin said...

This is indeed what the mathematician called the unary-system.

Under this system, 1 + 1 = 11. Actually, the symbol "1" is arbitrary, you can replace it with any other symbol (or even symbols).

In other words, given any number in the decimal system, say 9, under the unary world, it is represented as 111111111.

Haricot 微豆 said...


I am glad to have someone checking my math :)

Wow, you are a person of many talents - you owns SIX blogs ?!!!

Justin said...

haha, i am not so talented. you can see all those six blogs are abandoned. I don't realize i hv six blogs before you mention it.

Haricot 微豆 said...

Justin: That was quick action on your part. Now I see you own ONE blog :)

Related Posts with Thumbnails