gray_code_convertor.rb

class Gray_code
  def self.encode number
    ( number ^ ( number >> 1 ) ).to_s(2)
  end
  
  def self.decode number
    bin = number[0]

    (number.length-1).times do |i|
      bin += ( number[i+1].to_i(2) ^ bin[i].to_i(2) ).to_s(2)
    end

    bin
  end
end

p Gray_code::encode 125125
p Gray_code::decode((Gray_code::encode 125125)).to_i(2)