Interval arithmetic using Gray code

The Gray code arithmetic is characterized by the bit serial arithmetic from the most significant bit and the uniqueness of the representation. This paper describes that the properties of the Gray code are very effective for interval arithmetics. First, we represent the interval using the Gray code and propose an effective representation of the Gray code interval. Next, we show an algorithm for the derivation of the representation. Last, we suggest that the computational cost of the Gray code interval is decreased by the proposed representation.