Now-a-days, so many new technologies have been developing. Most of technologies have the main importance are related to the less delay and less power consumption. Most of digital processor, math processor and various scientific applications required Booth multipliers. In Booth multiplier, the booth encoder and booth decoder plays an important role. It occupies most of the areas and generates the signals which are useful for generate the partial product and also convert negative number using 2’s complement by using booth decoder. So, booth encoder and decoder are much better as much possible.