A new algorithm for determining all possible symmetric hybrid redundant numbers
Somayeh Timarchi, Keivan Navi · IEICE Electronics Express · 2009
Number representations play important roles in improving the speed of arithmetic operations. In order to perform parallel computing, it is needed to represent the operands with fully or hybrid redundant encodings. Besides, symmetric digit set is useful in many applications. Hybrid redundant number systems can display some symmetric digit sets for radix-r. In a lemma proposed in [5] it was shown that there is no symmetric digit set [-α, α] for radix-r hybrid redundant number system with α