Block floating point (BFP) is a method used to provide an arithmetic approaching floating point while using a fixed-point processor. BFP assigns a group of significands (the non-exponent part of the floating-point number) to a single exponent, rather than single significand being assigned its own exponent. BFP can be advantageous to limit space use in hardware to perform the same functions as floating-point algorithms, by reusing the exponent; some operations over multiple values between blocks can also be done with a reduced amount of computation.[1]
The common exponent is found by data with the largest amplitude in the block. To find the value of the exponent, the number of leading zeros must be found (count leading zeros). For this to be done, the number of left shifts needed for the data must be normalized to the dynamic range of the processor used. Some processors have means to find this out themselves, such as exponent detection and normalization instructions.[2][3]
Block floating-point algorithms were extensively studied by James Hardy Wilkinson.[4][5][6]
BFP can be recreated in software for smaller performance gains.
^Cite error: The named reference BDTI_2015 was invoked but never defined (see the help page).
^Cite error: The named reference Chhabra_1999 was invoked but never defined (see the help page).
^Cite error: The named reference Elam_2003 was invoked but never defined (see the help page).
^Cite error: The named reference Wilkinson_1963 was invoked but never defined (see the help page).
^Cite error: The named reference Muller_2010 was invoked but never defined (see the help page).
^Cite error: The named reference Overton_2001 was invoked but never defined (see the help page).
and 22 Related for: Block floating point information
Blockfloatingpoint (BFP) is a method used to provide an arithmetic approaching floatingpoint while using a fixed-point processor. BFP assigns a group...
The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic established in 1985 by the Institute...
The Evergreen PointFloating Bridge, also known as the 520 Bridge and officially the Governor Albert D. Rosellini Bridge, carries Washington State Route...
scheme that supports a special kind of fixed-point arithmetic that is commonly referred to as blockfloatingpoint arithmetic. The CKKS scheme includes an...
maximum specified clock speed of 33 MHz, and has hardware support for block-floatingpoint FFT. It uses 5 V TTL levels and consumes approximately 0.4 W. In...
This is in contrast to a floating-point unit (FPU), which operates on floatingpoint numbers. It is a fundamental building block of many types of computing...
The Gaza floating pier is a floating dock facility created by the U.S. military, after being proposed immediately before U.S. President Biden's 2024 State...
to detect errors in matrix operations. The scheme used blockfloating-point using fixed-point arithmetic hardware, in which the sum-checks were precise...
IEEE 754 binary floating-point formats are used for float and double respectively. The C99 standard includes new real floating-point types float_t and...
make better use of available computer hardware, such as IEEE 754-1985 floating-point arithmetic, and compiler technology. The C11 version of the C programming...
floating city intended to provide housing near Tokyo or Baltimore. The proposal called for tetrahedron–shaped modules supporting large housing blocks...
In finance, a floating charge is a security interest over a fund of changing assets of a company or other legal person. Unlike a fixed charge, which is...
represent numbers (or pair of numbers) in the set of real numbers in floatingpoint form. All C integer types have signed and unsigned variants. If signed...
NOR and NAND logic gates. Both use the same cell design, consisting of floating gate MOSFETs. They differ at the circuit level depending on whether the...
and B values. A 2x2 block requires 7 registers. A 3x3 block requires 13, which will not work on a machine with just 8 floatingpoint registers in the ISA...
A floating liquefied natural gas (FLNG) facility is a floating production storage and offloading unit that conducts liquefied natural gas (LNG) operations...
language implementing basic mathematical functions. All functions use floating-point numbers in one manner or another. Different C standards provide different...
units for processing. The units were: floatingpoint multiply (two copies) floatingpoint divide floatingpoint add "long" integer add incrementers (two...
Fender (1981) Fender two-point synchronized tremolo (1986) Fender Floating Bridge, which has two main variants: Fender Floating Tremolo or jag trem, introduced...
Global Information