Multiple-Base Number System: Theory and Applications (Circuits and Electrical Engineering)


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Applying the Basic Reduction Rules 2. A Two-Dimensional Index Calculus 2.

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Logarithmic Number Systems 2. A Filter Design Study 2. A Double-Base Index Calculus 2. A Low-Noise Motivation 3. Constant Multipliers Contents note continued: The Systolic Array Approach 3.

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System Level Issues 3. Designing the Templates 3. Handling Interference between Cells 3. Avoiding Feedback Races 3. A Brief Background 4. Extremely Large Numbers 4. Multiplication by a Constant Multiplier 4.

Using the DBNS 4. General Multiplier Structure 4. Results and Comparisons Contents note continued: Some Multiplier Designs 4.

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Multiplication and Division 5. Addition and Subtraction 5. Approximations to Unity 5. Error-Free Integer Representations 5. Non-Error-Free Integer Representations 5. Inner Product Step Processor 5. Extending to Multiple Bases 5. Extending to Multiple Digits 5.

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Comparison of Base 3 to the Optimal Bases 8. Theory and Applications stands apart from the usual books on computer arithmetic with its concentration on the uses and the mathematical operations associated with the recently introduced multiple-base number system MBNS. The Double-Base Number System 2. About This Chapter Constant Multipliers Contents note continued: For Instructors Request Inspection Copy.

Brute-Force Conversion Architecture 6. Extending to More Bases 6. Conversion Methods for Large Binary Numbers 6. Reducing the Address Decode Complexity 6. Results and Discussion 6.

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Multidimensional Logarithmic Number System: Addition and Subtraction 7. Addition in the Single-Base Domain 7. Computing the Addition Table 7. Minimizing the Search Space 7. Alternatives for m 7. The Complete Structure 7. Subtraction in the Single-Base Domain 7. Computing the Subtraction Table 7.

Feedback Accumulation in SBD 7.

Multiple-base number system; theory and applications.

Comparison to an LNS Case 7. Selecting an Optimal Base 8. In many cases, easily available standard arithmetic hardware might not necessarily be the most efficient implementation strategy.

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Multiple-Base Number System: Theory and Applications - CRC Press Book. Series: Circuits and Electrical Engineering. CRC Press Published January Buy Multiple-Base Number System: Theory and Applications (Circuits and Electrical Engineering) on www.farmersmarketmusic.com ✓ FREE SHIPPING on qualified orders.

Theory and Applications stands apart from the usual books on computer arithmetic with its concentration on the uses and the mathematical operations associated with the recently introduced multiple-base number system MBNS. The book identifies and explores several diverse and never-before-considered MBNS applications and their implementation issues to enhance computation efficiency, specifically in digital signal processing DSP and public key cryptography. Despite the recent development and increasing popularity of MBNS as a specialized tool for high-performance calculations in electronic hardware and other fields, no single text has compiled all the crucial, cutting-edge information engineers need to optimize its use.

The authors' main goal was to disseminate the results of extensive design research-including much of their own-to help the widest possible audience of engineers, computer scientists, and mathematicians. Dedicated to helping readers apply discoveries in advanced integrated circuit technologies, this single reference is packed with a wealth of vital content previously scattered throughout limited-circulation technical and mathematical journals and papers-resources generally accessible only to researchers and designers working in highly specialized fields.

Leveling the informational playing field, this resource guides readers through an in-depth analysis of theory, architectural techniques, and the latest research on the subject, subsequently laying the groundwork users require to begin applying MBNS. The Best Books of Check out the top books of the year on our page Best Books of Looking for beautiful books? Visit our Beautiful Books page and find lovely books for kids, photography lovers and more.

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Integration and Packaging, June D in , all from the University of Windsor in electrical engineering. He is currently an associate professor in the Electrical and Computer Engineering Department at the University of Windsor. His research areas include the implementation of high-performance and low-power VLSI circuits, full and semicustom VLSI design, computer arithmetic, HDL synthesis, digital signal processing, and embedded systems. Muscedere has been a member of the IEEE since We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption.

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Multiple-Base Number System : Theory and Applications

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