Convert decimal to gray code in java

Question

Had a question come up recently which was: write the algorithm to convert a decimal number to an n-bit gray code.

So for example: Using 1-bit (simplest):

Answer 1

I was working in a different mathematical field. Unintentionally, I discovered two ways to convert numbers to Gray code. Example. From right to left: I make the divisions of 173 (8 digits in binary system) with the numbers 2,4,8,16,32, ..., 256. I round each quotient to the nearest integer. I am writing this integer down from the corresponding fraction. If this integer is even, then I write below this digit 0, otherwise I write the digit 1. These digits form the Gray Code of 173.

Faster method. I can convert all numbers that have equal lengths of digits in the binary system to Gray codes. I do this without turning any number into binary. Here I find it difficult to present this method because it contains graphs, but you can find this here:

http://viXra.org/abs/2004.0456?ref=11278286