local fmt = require "fmt"

local function to_gray(n) return n ~ (n >> 1) end

local function from_gray(g)
    local b = 0
    while g != 0 do
        b ~= g
        g >>= 1
    end
    return b
end

print("decimal  binary  gray    decoded")
for b = 0, 31 do
    fmt.write("  %2d     %05d", b, fmt.bin(b))
    local g = to_gray(b)
    fmt.print("   %05d   %05d", fmt.bin(g), fmt.bin(from_gray(g)))
end