In the digital signal processor, IoT, image process and network systems power are more consumed. To avoid this problem there must be effective in hardware applications like area, less power consumption, accuracy in output, speed, and error. Overall, the basic need is the low power requirement. Most of the 3-D graphics are because of multiplication and division. To develop efficiency in hardware logarithm multiplier is the best solution. It is excellent in processing multiplication operations. So that it is maintaining a crucial role in different applications from the past years. But it is a lack to explain complete history in development. Hence, this paper finalizes the complete development steps, involvement performance, and complete error analysis. It is for technical issues, LNS is used majorly. The overall importance of LNS is explained. Error calculation techniques such as antilogarithmic converters, VHDL, and logarithmic approximation are used. The usage of different techniques like Mitchell’s approximation and iterative pipeline architecture is to design the hardware components. This paper gives the best result to future designers.