Binary to triple base number conversion system - an efficient techniques to convert binary number to triple base number [articol]

Abstract

High computational complexity is an important drawback of different signal processing algorithms and face many challenges in real-time applications .To enhance the speed of different arithmetic units in general and multiplications and additions in particular are therefore the most important issues in the current research areas . Double based number systems (DBNS)[1][11] gains its popularity for their capabilities of handling arithmetic operations efficiently. Even though DBNS schemes exhibit reasonably good performance for 8 bit multiplication , they are not efficient for higher bits that is they are not efficient to cover a large range of numbers .Here we introduce a new concept “Triple based Number Systems (TBNS)[2][3][4][5][12][15] for performance enhancement of the multiplier of the digital signal Processors. The principle of conversion of binary number to TBNS has been dealt here clearly. This number system has been dealt efficiently with in details and a comparison between TBNS and Double Base Number Systems (DBNS) clearly indicate the advantages of the former in terms of speed, hardware complexity and power dissipation. Different architectural models have been proposed.