2009Engineering and Technology JournalOpen access

Floating Point Optimization Using VHDL

Manal H. Jassim

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Abstract

Due to inherent limitations of the fixed-point representation, it is sometimes desirable to perform arithmetic operations in the floating-point format. Although an established standard for floating-point arithmetic exists, optimal hardware implementations of algorithms require use of floating-point formats different fromthe ones specified in the standard. Hardware modules for floating-point format control, arithmetic operators and conversion to and from any fixed-point format are presented. Synthesis results for arithmetic operator modules in several floating-point formats, including the IEEE single precision format, Synthesis and processing results for both implementations are shown and compared

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Due to inherent limitations of the fixed-point representation, it is sometimes desirable to perform arithmetic operations in the floating-point format. Although an established standard for floating-point arithmetic exists, optimal hardware implementations of algorithms require use of floating-point formats different fromthe ones specified in the standard. Hardware modules for floating-point format control, arithmetic operators and conversion to and from any fixed-point format are presented. Synthesis results for arithmetic operator modules in several floating-point formats, including the IEEE single precision format, Synthesis and processing results for both implementations are shown and compared

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Available abstract

Due to inherent limitations of the fixed-point representation, it is sometimes desirable to perform arithmetic operations in the floating-point format. Although an established standard for floating-point arithmetic exists, optimal hardware implementations of algorithms require use of floating-point formats different fromthe ones specified in the standard. Hardware modules for floating-point format control, arithmetic operators and conversion to and from any fixed-point format are presented. Synthesis results for arithmetic operator modules in several floating-point formats, including the IEEE single precision format, Synthesis and processing results for both implementations are shown and compared

Key concepts: Floating point, Computer science, Double-precision floating-point format, Arithmetic, IEEE floating point, Point (geometry), VHDL, Implementation

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