Understanding the base conversion
Base conversion is the process of converting a number from one base (or radix) to another. A base is the number of digits or symbols used to represent numbers in a particular system. For example, the decimal system (base 10) uses 10 digits (0-9), while the binary system (base 2) uses only 2 digits (0 and 1).
To convert a number from one base to another, you can first convert it to decimal (base 10) and then convert that decimal number into the desired base. There are also direct conversion methods between some bases, such as binary, octal, and hexadecimal.
Introducing the base99 conversion system
A base99 conversion system would use 99 distinct symbols to represent numbers. For example, you could use the digits 0-9 and the letters A-Z (lowercase and uppercase) to represent the first 62 symbols. You would then need to choose an additional 37 symbols to represent the remaining values.
As base99 conversion system would require 99 unique characters to represent each digit, however, there are only 62 alphanumeric characters (26 uppercase letters, 26 lowercase letters, and 10 digits) available. So, to create a base99 system, you would need to use additional characters or symbols to represent the remaining digits.
0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz!@#$%^&*()_+-=[]{}|;:,.<>/?`~To convert a number from decimal to base99, you would repeatedly divide the decimal number by 99 and keep track of the remainders. The remainders would represent the digits of the base99 number in reverse order.
To convert a number from base99 to decimal, you would multiply each digit of the base99 number by 99 raised to the power of its position (starting from the rightmost digit with position 0) and sum the results.
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