Floating Point Arithmetic, Errors
First steps towards more numerical reproducibility*
... interval arithmetic can be implemented with the default rounding to ...round-off errors, such as bounds given in (3) for the dot product, and by shifting the endpoints by this ...real arithmetic, ...
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Optimal controller and filter realizations using finite precision, floating point arithmetic
... floating- point digital controller implementations. The quantiza- tion errors have been analysed by Rink and Chong (1979a, b), and by Vanwingerden and De Koning (1984) for optimal ...quantization ...
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Implementation of Optimized Floating Point Arithmetic Unit on Reconfigurable Logic Sonam Pardhi, Nitesh Dodkey
... binary floating point (BFP) arithmetic has certain flaws namely; it cannot provide correct decimal rounding and cannot precisely represent some decimal fractions such as ...that errors ...
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Quantifying the impact of single bit flips on floating point arithmetic
... A number of researchers have approached the problem of SDC in numerical algorithms in various ways; most research takes the approach of treating an algorithm as a black-box and observes the behavior of these codes when ...
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A Note on the Perturbation of arithmetic expressions Shawki A.M. Abbas
... the errors in elementary arithmetic operations, +, -, *, /, and "built-in" function occurring in the floating – point arithmetic of ...an arithmetic operation or ...
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Floating point roundoff error analysis of the adaptive exponential sliding window RLS algorithm for time-varying systems in the presence of noise
... The results for the LMS algorithm show that the excess mean square error due to floating point arithmetic increases inversely to loop gain for errors introduced by the summation in the w[r] ...
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Discrete Fourier Transform Design Using Floating Point Numbers
... the arithmetic operations play a vital role for designing of the application specific method and also designing in digital ...underflow errors which occur in the fixed point number and to overcome ...
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A Novel Hardware Efficient Reconfigurable 32-Bit Arithmetic Unit for Binary, BCD and Floating Point Operands
... precise arithmetic for different data representation ...tolerate errors of conversion between binary and decimal ...subsequent arithmetic is ...decimal arithmetic is necessary in many ...
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HR 04027 Cray Y MP EL Functional Description Aug92 pdf
... Addition algorithm, floating point, 2-19--2-20 Address and multiply range errors, floating-point, 2-18 Address add functional unit CPU, 2-8 integer arithmetic, 2-63 Address base and limi[r] ...
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Development of a Block Floating Point Interval ALU for DSP and Control Applications
... Fixed point implementations in hardware are found to be small in size, involve low implementation costs and have low power consumption as compared to their floating point counterparts when all ...
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Lightweight Floating Point Arithmetic: Case Study of Inverse Discrete Cosine Transform
... FP arithmetic operations rather than simple logic. FP arithmetic hardware o ff ers a wide dy- namic range and high computation precision, yet occupies large fractions of total chip area and energy ...
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Design and Implementation of IEEE 754 Addition and Subtraction for Floating Point Arithmetic Logic Unit
... For the input the exponent of the number may be dissimilar. And dissimilar exponent can’t be added directly. So the first problem is equalizing the exponent. To equalize the exponent the smaller number must be increased ...
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FPGA-based model implementation for real-time control of smart material systems operating in hysteretic regimes
... single arithmetic operations to be done in parallel, if desired, and then ...integer arithmetic is preferable, where possible, to floating point arithmetic; the use of integer ...
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Realization of Building Blocks of Floating Point Butterfly Architecture
... ―Three-operand floating-point adder,‖ in ...compliant floating-point adder that conforms with the pipeline packetforwarding paradigm,‖ IEEE ...
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IMPLEMENTATION OF HIGH SPEED DOUBLE PRECISION FLOATING POINT UNIT ON FPGA USING VHDL
... Floating point arithmetic unit is an important and integral part of signal and image processing ...For floating point operations, two types of precision units ...basic arithmetic ...
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G26 5595 0 Automatic Floating Point Operations Sep61 pdf
... Four are for arithmetic computations; floating add, floating subtract, floating multiply, and floating divide; three control field size and location: floating shift right, floating shift[r] ...
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Symbolic round-off error between floating-point and fixed-point
... To verify our result, we wrote a test program for both rounding methods that generates 100.000.000 random test cases for −1 ≤ x ≤ 3 and − 10 ≤ y ≤ 10 and directly computes the round-o ff error between ...
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Improved Architecture for Floating Point Addition
... ABSTRACT: This paper presents improved architectures for floating point addition. The improved architecture performs two additions in a single unit to achieve better performance and better accuracy. To ...
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SECompSyllabus-after-peerReview-13April09.pdf
... and Floating point numbers, Signed numbers, Integer Arithmetic, 2’s Complement method for multiplication, Booths Algorithm, Hardware Implementation, Division, Restoring and Non Restoring algorithms, ...
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VLSI Implementation of Neural Network
... fixed point arithmetic scheme will be advantageous in application where degree of precision is not important and thus in such application it may provide a good multi-objective solution for optimizing cost ...
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