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Accurate floating-point operation using controlled floating-point precision
Proceedings of 2011 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing, 2011Rounding and accumulation of errors when using floating point numbers are important factors in computer arithmetic. Many applications suffer from these problems. The underlying machine architecture and representation of floating point numbers play the major role in the level and value of errors in this type of calculations.
Ahmad M. Zaki +3 more
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Accelerating Microblaze Floating Point Operations
2007 International Conference on Field Programmable Logic and Applications, 2007The MicroBlaze processor serves in many FPGA designs as the central 32 bit CPU with access to the global off chip memory and peripherals. MicroBlaze provides FSL links for up to 8 coprocessors. We present two MicroBlaze designs. The first design works with 8 PicoBlaze-based accelerators for pipelined, single-precision floating point vector-oriented ...
Jiri Kadlec +2 more
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Parameterisable floating-point operations on FPGA
Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002., 2003The paper presents a group of IEEE 754-style floating-point units targeted at Xilinx VirtexII FPGA. Special features of the technology are taken advantage of to produce optimised components. Pipelined designs are given that show the latency of /spl sim/100 MHz single-precision components.
B. Lee, N. Burgess
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VHDL Floating Point Operations
1995In this paper, we present a set of portable floating point VHDL functions. These functions provide the VHDL programmer with absolute portability and very precise control over floating point operations. A single VHDL type is used to represent single, double, and extended precision floating point numbers.
George S. Powley, Joanne E. DeGroat
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Semantics for exact floating point operations
[1991] Proceedings 10th IEEE Symposium on Computer Arithmetic, 2002Semantics are given for the four elementary arithmetic operations and the square root, to characterize what are termed exact floating point operations. The operands of the arithmetic operations and the argument of the square root are all floating point numbers in one format.
Bohlender, Gerd +3 more
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FFT Implementation with Fused Floating-Point Operations
IEEE Transactions on Computers, 2012This paper describes two fused floating-point operations and applies them to the implementation of fast Fourier transform (FFT) processors. The fused operations are a two-term dot product and an add-subtract unit. The FFT processors use "butterfly” operations that consist of multiplications, additions, and subtractions of complex valued data.
Earl E. Swartzlander, H. H. M. Saleh
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2019
The Raspberry Pi is based on a system on a chip. This chip contains the quad-core ARM CPU that we have been studying along with a couple of coprocessors. In this chapter, we’ll be looking at what the floating-point unit (FPU) does. Some ARM documentation refers to this as the Vector Floating Point (VFP) to promote the fact that it can do some limited ...
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The Raspberry Pi is based on a system on a chip. This chip contains the quad-core ARM CPU that we have been studying along with a couple of coprocessors. In this chapter, we’ll be looking at what the floating-point unit (FPU) does. Some ARM documentation refers to this as the Vector Floating Point (VFP) to promote the fact that it can do some limited ...
openaire +1 more source
1980
The range of numbers available in a digital computer word as discussed so far is strictly limited. A 32-bit number has a range of about 232 or 1010 numbers. If the numbers are regarded as integers, then it is necessary to scale many problems in order to represent fractions.
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The range of numbers available in a digital computer word as discussed so far is strictly limited. A 32-bit number has a range of about 232 or 1010 numbers. If the numbers are regarded as integers, then it is necessary to scale many problems in order to represent fractions.
openaire +1 more source

