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Design and realization of mathematical operations in FPGA circuits
Soukup, Luděk ; Šteffan, Pavel (referee) ; Fujcik, Lukáš (advisor)
This bachelor’s thesis deals with the issue of realization of mathematical operations in digital circuits with a focus on FPGA and ASIC architectures. The attention is focused to algorithms for addition, subtraction, multiplication and division, further to algorithms for computing trigonometric functions. Chosen algorithms are described in VHDL language, synthesized, and they are compared in terms of acquired information about computing time and area which is required for its realization. In the final part of the thesis the possibility of implementation these algorithms is discussed.
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Historical development of numerical methods and computational techniques, from the perspective of mathematics education in elementary school.
DIVÍŠKOVÁ, Michaela
In my diploma thesis I deal with historical numerical procedures and their application in teaching. In a total of eight chapters, I describe counting techniques from history, such as magic squares, interesting counting algorithms, unconventional divisibility criteria, ancient numeration techniques, golden ratio, figurate numbers, and graphic papers. I deal with the use of historical numerical methods in teaching in the final chapter. This chapter contains eight worksheets and activity suggestions with methodical commentary.
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Historical development of numerical methods and computational techniques.
DIVÍŠKOVÁ, Michaela
In my bachelor thesis I deal with historical development of numerical methods and computational techniques. In the first chapter, the introduction of the concept of number and the writing process. In the second chapter, I present the basic numerical methods and algorithms for a variety of mathematical operations. In the third chapter, I will devote counting techniques and aids to facilitate calculations. The final chapter, I focus on computation of periodic rational and irrational numbers.
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Design and realization of mathematical operations in FPGA circuits
Soukup, Luděk ; Šteffan, Pavel (referee) ; Fujcik, Lukáš (advisor)
This bachelor’s thesis deals with the issue of realization of mathematical operations in digital circuits with a focus on FPGA and ASIC architectures. The attention is focused to algorithms for addition, subtraction, multiplication and division, further to algorithms for computing trigonometric functions. Chosen algorithms are described in VHDL language, synthesized, and they are compared in terms of acquired information about computing time and area which is required for its realization. In the final part of the thesis the possibility of implementation these algorithms is discussed.
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