Design of radix-4 squaring circuit using dual recoding technique

Abstract

Squaring circuits are among the fundamental components of digital system and hence power consumption, speed and area are prime concern. Today every circuit has to face many power consumption issue portable devices and its application such computer application aiming at large battery life and reliability that are too complex. Larger design requires more area and consumes more power. As for getting all these requirements, radix-4 squaring operation implemented by multiplier followed by truncation circuit. The theory of operation of circuit is described including radix-4 operand dual recoding. Dual recoding reward non negative partial squares and other features which simplify the design of approximate squaring circuit. Clearly the approach described in this work allows for improvement in various applications. Results of design on Tanner Tool in terms of delay, power and area in 180nm technology are presented and analyzed with conventional multiplier. The radix-4 approximate squaring circuit is shown to be efficient than a radix-2 state of art binary squaring circuit.