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This is a draft of a book about algorithms for performing arithmetic, and their implementation on modern computers. We are concerned with software more than hardware - we do not cover computer architecture or the design of computer hardware. Instead we focus on algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to top...

Reversible logic plays an important role in emerging low power designs and quantum computing. This paper presents an efficient way to realize reversible arithmetic circuits especially targeting toward reversible arithmetic logic unit (RALU). In literature for reversible logic, not a significant advancement is found in integrating both logical and arithmetical functions, commonly known as arithm...

There are several areas in computer arithmetic which are fertile for new discoveries. This paper will introduce some of these fields of research with the expectation that there will be tremendous advances in the next decade. Some of these fields are already matured with key problems still unsolved while others are nebulous at this time in history. I will address three arithmetic fields: the mul...

The feasibility of Quantum Computer with Super Computing capability is addressed here. We describe a Arithmetic Logic Unit for Quantum Computer and show how the algebra is modified if the information is kept in phase for Radix-4 operation. We formulate Quaternary adder, subtractor, multiplier and divider circuits using basic quantum gates.

The course \Computer Arithmetic and Numerical Tech-niques" at the University of Antwerp, is an introductory scientiic computing course for students with a major in computer science or a combined major mathemat-ics/computer science. But it could as well be taught to any exact or applied science student with a reasonable high-school background in mathematics and a fair interest in computers. It i...

Feel lonely? What about reading books? Book is one of the greatest friends to accompany while in your lonely time. When you have no friends and activities somewhere and sometimes, reading book can be a great choice. This is not only for spending the time, it will increase the knowledge. Of course the b=benefits to take will relate to what kind of book that you are reading. And now, we will conc...

The papers in this special section focus on emerging and impacting trends computer arithmetic. field encompasses the definition standardization of arithmetic systems for computers. It also deals with issues pertaining to hardware software implementations, testing, verification. Researchers practitioners work challenges associated using Computer Arithmetic perform scientific engineering calculat...

Numbers are the lifeblood of statistics, and computational statistics relies heavily on how numbers are represented and manipulated on a computer. Computer hardware and statistical software handle numbers well, and the methodology of computer arithmetic is rarely a concern. However, whenever we push hardware and software to their limits with difficult problems, we can see signs of the mechanics...