The base 100 number system & the base 64 number system
Future of Quantum Computing & AI.
Google invented
a system named "Plus Codes," which was full of flaws and mistakes.
Hence, I reinvented a new system intended to improve things. The system
invented by Google is also known as Open Location Codes, or OLC. This is a base
20 number system that contains numbers and other characters as digits to denote
locations, i.e., addresses on the Earth, as a substitute for the traditional
Lat/Long system. The traditional Lat/Long system, although a bit longer to read
and write, is a superhero in terms of accuracy, precision, and pinpointing
addresses.
My newly invented
number system is a base 100 system, which I named "ikhtisari ginti " اختصاری گنتی(in
Urdu, meaning "shorthand of numbers" in English). The invention of
Plus Codes by Google aimed to make addresses brief, i.e., short, but Google's
Plus Codes didn't serve the purpose well. On the other hand, my invention (if
adopted) can not only serve the purpose very well but is also fully compatible
with the traditional Lat/Long-based system of coordinates and can show the
height, also called elevation or altitude, of a location.
While this
article is a piece of good news for those who are fond of achieving success in
the soon-coming age of quantum computing and AI, the news is the invention of a
new number system called the base 100 number system.
Here is my article about my newly
invented Base 100 Number System.
This new number system is quite
different from the number system we use today. The number system with which we
and our kids are familiar is called the base ten number system because it has
ten shapes or symbols, including zero, with nine being the largest among them.
Here are the shapes or symbols used in the system familiar to us (the base 10
number system): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. This base 10 system is lengthy,
especially when writing large numbers. Hence, there is a need to make the
numbers brief or short when they are too long, such as in the case of amounts
like millions, billions, or trillions; thus, we normally use scientific
notation to serve this purpose. For instance, a billion written this way,
1,000,000,000, can be shortened or made brief this way using scientific
notation, 10^9, and pronounced "ten raised to the power nine," but
this method does not work in certain situations. For instance, when you write
down an amount called "one trillion and one" (in the normal way) like
this, 1,000,000,000,001, it would be impossible to make it short or brief
because it will lose its accuracy and precision. Therefore, a need arises to
tackle this problem, i.e., a method that makes it possible to limit or shorten
the longer amounts to fewer digits but without losing their precision or
accuracy. Hence, I decided to invent a new type of number system called the
base 100 number system, which has one hundred different shapes or symbols,
including zero up to ninety-nine, which is the biggest among these shapes or
symbols. While these unique digits are like existing alphanumeric characters,
they are also quite different from them. So, the strategy I used while
designing these shapes is very simple. For instance, I made slight changes in
the basic zero to nine numerals so that I could make use of their clockwise
rotated versions in steps of 45 degrees, such as the first instance of zero to
nine, which was used in the upright position.
while the shape of zero was changed from
0 to ⌂, i.e., this... or as below,
and the shape of six was changed from 6
to ...
To make the digit six quite
different from nine even if it is rotated 180 degrees, i.e., upside down
(notice the straight leg of six and the curved leg of nine) and
The shape of eight was also changed from 8 to ...
Or alternatively 8 could also be
represented as below ...
and I left the remaining shapes as they
were. This set has the same meaning as we normally mean, but in the next step I
made them italic, i.e., gave them a rotation of 45 degrees towards clockwise,
and declared their values as if 10 was added to each digit, and in the third
step, I further rotated them clockwise another 45 degrees and added twenty to
the basic value. Hence, I repeated this act of rotating these fonts until I
reached up to the value of 79 because this was the last value achievable through
this method using only numerals. Therefore, from the value of 79 onward, I
started using ABC up to the letter "T" to represent the final value
of 99 but in the form of backward italic style to make them different from
other usages.
The image below is a chart of said
digits
Hence, using the symbols found in the
chart above, the example given earlier, i.e., one trillion and one written as
1,000,000,000,001 in normal style or the style of the base 10 number system,
would be shortened to just this: 1⌂⌂⌂,⌂⌂1 only. Hence, compare
1,000,000,000,001 to 1,⌂⌂⌂,⌂⌂1 and notice the difference since the number of
digits has been reduced to about half. It is the ===>
Number System with Which We and Our
Computers Can Count Easily
In traditional number systems, we are
familiar with base 10 (decimal), base 2 (binary), base 8 (octal), and base 16
(hexadecimal). However, I have developed a new number system called the base
100 number system. This system is designed to simplify counting for both humans
and computers.
Why Base 100?
The idea behind base 100 is to reduce
the number of digits required to represent large numbers, making it more
efficient for computation and easier for humans to read and interpret.
The Base 100 Digits
In this system, each digit can represent
a value from 0 to 99. To accommodate this, I have created 100 unique symbols.
Each symbol represents a specific value within this range.
How It Works
Representation: Just like in the decimal
system, where each digit represents a power of 10, in base 100, each digit
represents a power of 100.
Conversion: To convert a number from decimal to base
100, repeatedly divide the number by 100 and record the remainders. These
remainders are then mapped to the corresponding base 100 symbols.
Example
To convert the decimal number 12345 to
base 100:
Divide 12345 by 100, which gives 123 with a remainder
of 45.
Divide 123 by 100, which gives 1 with a
remainder of 23.
Thus, 12345 in decimal is represented as
1, 23, 45 in base 100, using the corresponding symbols for 1, 23, and 45. Thus,
after conversion, the number becomes like this in base 100: ...
Advantages
Compact Representation: Large numbers
can be represented with fewer digits.
Efficiency: It can improve computational
efficiency in certain applications.
Conclusion
The base 100 number system offers a
novel way to handle large numbers efficiently, making it easier for both humans
and computers to manage data.
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