An RNS based logarithmic adder

The operation of logarithmic addition was always eclipsed with heavy volumes of look-up tables. So with a goal to reduce the ROM size, an elegant and novel technique for logarithmic addition using RNS (Residue Number System) is demonstrated in this paper. To formulate this technique, the properties of Finite Fields and Finite Rings are exploited. A multiple base logarithm has been defined first, which was then successfully used for the formulation of our proposed technique for logarithmic addition. With our approach, the ROM requirement has been reduced to a bare minimum, thereby reducing the complexity of logarithmic addition, enabling an elegant and efficient implementation.