Natural and Efficient Subtraction Operation in Car

Authors: Jayanta Kumar Das Pabitra Pal Choudhury Ayesha Arora

Publish Date: 2016/12/12

Volume: , Issue: , Pages: 125-136

PDF Link

Abstract

Carry value transformation CVT and Exclusive OR XOR operations on two nonnegative integers have been defined previously in several articles In this paper the definition of CVT and XOR operations are extended from nonnegative integer to integer domain Thereafter various cases of integer pairs towards their convergence behaviour are thoroughly discussed Our analyses through the convergence behavior of integer pairs are easily directed to capture the natural subtraction operation in this paradigm by representing negative integer in 2’s complement form The average time complexity of the addition/subtraction operation is seen to be highly competitive in any bulk computation in real life scenario In other words in the event of bulk addition/subtraction operation to be performed the average time complexity is seen to be highly efficient

Keywords: