In this paper, an algorithm for logarithm converter and antilog converter with fast efficient error correction and efficient area is discussed. Here discussed a Binary-to-Binary logarithm conversion. As, a Binary logarithm is a replacement for an arithmetic operation like multiplication and division due to their fast response and less storage area. A different approach taken by various researchers related to this field to achieve an accurate error correction scheme in form of literature review. This is restricted, a few methods to achieve logarithmic and antilogarithm conversion have been discussing methodology. In this article discussed various parameters in which explained the various method of with respect to existing method to do the conversion of outperforms the previously reported method.