Floating point Addition
An improved algorithm for high-speed floating – point addition
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This paper describes an improved, IEEE conforming floating – point addition algorithm. This algorithm has only one addition step involving the significand in the worst-case path, hence offering a considerable speed advantage over the existing algorithms, which typically
Implementation of IEEE 32 Bit Single Precision Floating Point Addition and Subtraction
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This paper presents a floating – point addition and subtraction algorithm and their pipeline design. Floating point unit have different operations which is hard to implement on FPGAs due to complexity of their algorithms. Many scientific applications require more accuracy in
Improving Performance of Software Implemented Floating Point Addition
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AN IMPROVED FLOATING POINT ADDITION ALGORITHM
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Floating point addition /subtraction has been designed in literature. The methods involved twos complements add/subtract logic and XOR for counting leading zeroes. This paper proposes algorithm to perform add/subtract operation using ones complement and counting
Double precision floating point addition , MU DPA1
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IDENTIFICATION Double Precision Floating Point Addition , MU OPAl EM Zographos, February 21, 1957 Midwestern Universities Research Association, Madison, Wisconsin PURPOSE To add two double precision floating point numbers. METHOD Accuracy;
Half-Precision Floating Point Addition Unit
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The goal of this project is to make a chip capable of adding two half-precision floating point numbers. The adder employs round-to-zero, and treats denormalized numbers as underflow. This project does not aim to achieve any particular energy use or delay through
Design and Optimized Implementation of Six-Operand Single-Precision Floating – Point Addition
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In this paper we present an efficient design of generalized, multi-operand single-precision floating point addition . The addition operation is optimized in two ways. Firstly, the design of has been modified to improve efficiency of multi-operand floating point addition in terms The addition of long sequences of numbers is one of the widespread macro-operations for different calculations. Finding a definite~ ntegral, estimation of statistical means, calculation of the scalar product of vectors, and other problems include the calculation of sums. Errors
An Effective Leading Zero Anticipation for High Speed Floating Point Addition and Subtraction
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A new leading-zero anticipatory (LZA) logic for high-speed floating – point addition and subtraction is proposed. The pre-decoding for normalization concurrently with addition for the significant is carried out in this logic. Shift operation of normalization in parallel with the
FLOATING – POINT NUMBER SOLUTIONS IN A SIMPLE LINEAR EQUATION WITH ADDITION ALGORITHM
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A model of afloating- point addition $ u\oplus v= c $ is established in FORTRAN language. Here the exponent of $ u $ is greater than the exponent of $ v $. The two kinds of simple linear equations $ y\oplus v= c $ and $ u\oplus x= c $ are solved theoretically. Here $ u, $$ v
Comparison of Adders for optimized Exponent Addition circuit in IEEE754 Floating point multiplier using VHDL
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Floating point arithmetic has a vast applications in DSP, digital computers, robots due to its ability to represent very small numbers and big numbers as well as signed numbers and unsigned numbers. In spite of complexity involved in floating point arithmetic, its