A Closer Look Towards Arithmetic Algorithms
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Computer of the day deals with binary digits. When the project started we were initially with complexity of arithmetic algorithm. Classical Booth s algorithm is universally accepted as it is not prone to sign changing. However we must remember that computer can do whatever we ask to do. We basically observed that Strassen matrix multiplication algorithm where there is any place to play with it. We started thinking. We know that no finite state machine can multiply arbitrarily large pair of binary numbers. We compromise and consider binary number n to be adjustable according to machine consider...
Computer of the day deals with binary digits. When the project started we were initially with complexity of arithmetic algorithm. Classical Booth s algorithm is universally accepted as it is not prone to sign changing. However we must remember that computer can do whatever we ask to do. We basically observed that Strassen matrix multiplication algorithm where there is any place to play with it. We started thinking. We know that no finite state machine can multiply arbitrarily large pair of binary numbers. We compromise and consider binary number n to be adjustable according to machine consideration both in time and space. We started our experiment with checking shift operation in multiplication by considering multiple shift at the same time. The result was encouraging. Our effort is supported by detailed performance profile analysis. The work is an initial effort. The extension of the work is possible and we are sure we will preside to new revolution in near future
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