The algorithms of Tables 14-2 and 14-7 provide two non-recursive algorithms for generating the Hilbert curve of any order. Either algorithm can be implemented in hardware without great difficulty. Hardware based on Table 14-2 includes a register holding s, which it increments for each step, and then converts to (x, y) coordinates. Hardware based on Table 14-7 would not have to include a register for s, but the algorithm is more complicated.