u/Natural-Progress-444

I’m looking for a method where I can divide large numbers (20+ digits) and get a whole number result with a remainder. Yes long division works and provides the result I need but it’s very slow and takes up a lot of room on my paper. I’m not afraid to learn an entirely new method of division so please reply if you have anything that fits my description.

I’m looking for a method where I can divide large numbers (20+ digits) and get a whole number result with a remainder. Yes long division works and provides the result I need but it’s very slow and takes up a lot of room on my paper. I’m not afraid to learn an entirely new method of division so please reply if you have anything that fits my description.

I designed a number system that can be used to create words. I’m sure someone has done this before but I wanted to share my take on it. Feedback and suggestions encouraged.

What is Cube³?
Cube³ is a custom encoding system that converts text into decimal numbers through binary. Rather than assigning each letter a decimal value directly, every symbol is represented by a fixed 5-bit binary code, making the system reversible and mathematically consistent.
The name Cube³ comes from the 27 pieces of a Rubik’s Cube, which inspired the 27-symbol alphabet (A-Z and ‘.’).

. = 0
A = 1
B = 2
C = 3
…
Z = 26

This creates an alphabet of 27 symbols.

Binary Encoding
Each symbol is represented using exactly five bits.
Examples:
. = 00000
A = 00001
B = 00010
C = 00011
...
Z = 11010
Since five bits can represent 32 values, the values 27–31 are currently unused and provide room for expansion within the system
to represent punctuation or special control characters.

Cube³ -> Decimal
Convert every Cube³ symbol into its 5-bit binary representation.
Link all binary groups together.
Interpret the result as one binary integer.
Convert that binary integer into decimal.
Example:
BALL

B = 00010
A = 00001
L = 01100
L = 01100

->

00010000010110001100₂

->

66956₁₀
So:
BALL = 66956

Decimal -> Cube
Convert the decimal number into binary.
Pad the front with zeros until the total number of bits is divisible by five.
Split the binary into groups of five bits.
Convert each group into its decimal value.
Convert each decimal value into its Cube symbol.
Example:
66956

->

00010000010110001100

->

00010 00001 01100 01100

->

2 1 12 12

->

BALL

Mathematical Interpretation
Cube³ is effectively a restricted base-32 number system.
Only digit values 0-26 are currently valid.

Current Rules
* Every Cube symbol occupies exactly 5 bits.
* Binary strings must have lengths divisible by 5.
* Pad only the front with zeros when decoding from decimal.
* Valid 5-bit values are 0 through 26.
* Values 27–31 are invalid (reserved for future expansion).

Current Standard
Instead of encoding entire sentences into one enormous decimal number, Cube³ treats each word independently.
Example:
KEEP CUBING EVERY DAY

->

365744 122758599 5969497 4153

Each decimal number represents exactly one Cube word.
This keeps the numbers manageable, makes decoding by hand practical, and prevents one error from corrupting an entire sentence.

I don’t want to get roasted if this is a stupid idea but I had fun making it and I want to see what everyone thinks about it and maybe expand on some parts or fix some flaws :)

I recently learned the Lau method. I average about 15 seconds with full CFOP and in about an hour of practice with Lau, I’m averaging about 30 seconds. Is it really good enough to compete with CFOP? I’ve seen X-cross potential in scrambles during inspection but I don’t see an opportunity to utilize them during solves. I’m only about a year into cubing so switching methods is probably still achievable but I’m not sure if I should even bother with Lau.