• Title/Summary/Keyword: 부동소수점 가산기

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A Study on High Performances Floating Point Unit (고성능 부동 소수점 연산기에 대한 연구)

  • Park, Woo-Chan;Han, Tack-Don
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.11
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    • pp.2861-2873
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    • 1997
  • An FPU(Floating Point unit) is the principle component in high performance computer and is placed on a chip together with main processing unit recently. As a Processing speed of the FPU is accelerated, the rounding stage, which occupies one of the floating point Processing steps for floating point operations, has a considerable effect on overall floating point operations. In this paper, by studying and analyzing the processing flows of the conventional floating point adder/subtractor, multipler and divider, which are main component of the FPU, efficient rounding mechanisms are presented. Proposed mechanisms do not require any additional execution time and any high speed adder for rounding operation. Thus, performance improvement and cost-effective design can be achieved by this approach.

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Design and Verification of Adder Module for Fast Floating-Point Unit (부동 소수점 유닛의 고속처리를 위한 가산기 모듈의 설계 및 검증)

  • Jung, Myung-Su;Sonh, Seung-Il
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • v.9 no.2
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    • pp.611-614
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    • 2005
  • 1970년대 말까지 초창기에 출시된 컴퓨터들은 부동 소수점을 표현하기 위한 자신들의 내부적 표현방식을 사용하였다. 따라서 각 컴퓨터마다 부동 소수점 연산에 대한 계산 결과가 약간씩 차이가 나기도 하였다. 이러한 문제점을 해결하기 위해 IEEE에서는 부동 소수점에 대한 표준안을 제안하였다. 이는 서로 다른 컴퓨터 간에 부동 소수점 데이터의 교환이 가능하게 할 뿐만 아니라 하드웨어 설계자들에게도 정확한 모델을 제공하는 것이 목적이었다. 이 당시 제정된 부동 소수점 표준안은 IEEE Standard 754 부동 소수점이며, 오늘날 인텔 CPU 기반의 PC, 매킨토시 및 대부분의 유닉스 플랫폼에서 컴퓨터 상의 실수를 표현하기 위해 사용하는 가장 일반적인 표현 방식으로 발전하였다. 본 논문에서는 부동 소수점의 기본적인 표현방식에 대해 연구하고, 이 중 32 bit 단일 정밀도 부동 소수점 가산기를 Microsoft Visual C++ 6.0을 이용해 시뮬레이션하고 이를 VHDL로 구현한다.

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Design of Dual-Path Decimal Floating-Point Adder (이중 경로 십진 부동소수점 가산기 설계)

  • Lee, Chang-Ho;Kim, Ji-Won;Hwang, In-Guk;Choi, Sang-Bang
    • Journal of the Institute of Electronics and Information Engineers
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    • v.49 no.9
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    • pp.183-195
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    • 2012
  • We propose a variable-latency Decimal Floating Point(DFP) adder which adopts the dual data path scheme. It is to speed addition and subtraction of operand that has identical exponents. The proposed DFP adder makes use of L. K. Wang's operand alignment algorithm, but operates through high speed data-path in guaranteed accuracy range. Synthesis results show that the area of the proposed DFP adder is increased by 8.26% compared to the L. K. Wang's DFP adder, though critical path delay is reduced by 10.54%. It also operates at 13.65% reduced path than critical path in case of an operation which has two DFP operands with identical exponents. We prove that the proposed DFP adder shows higher efficiency than L. K. Wang's DFP adder when the ratio of identical exponents is larger than 2%.

A Design of High Speed Floating Point Unit (고속 Floating Point Unit 설계)

  • Oh, Haeng-Soo
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.39 no.2
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    • pp.1-5
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    • 2002
  • Floating point unit system follows IEEE 754 Standard. In this paper, we used 1's complement system instead of 2's complement to practice the arithmetic. By converting we enable this system to compute simply and fast. To improve the speed of newly design adder, we used a transformation Carry selector adder of 53 bits. In paper, a design of floating point unit high efficiency micro processor system about for high speed. 

Design of 32-bit Floating Point Multiplier for FPGA (FPGA를 위한 32비트 부동소수점 곱셈기 설계)

  • Xuhao Zhang;Dae-Ik Kim
    • The Journal of the Korea institute of electronic communication sciences
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    • v.19 no.2
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    • pp.409-416
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    • 2024
  • With the expansion of floating-point operation requirements for fast high-speed data signal processing and logic operations, the speed of the floating-point operation unit is the key to affect system operation. This paper studies the performance characteristics of different floating-point multiplier schemes, completes partial product compression in the form of carry and sum, and then uses a carry look-ahead adder to obtain the result. Intel Quartus II CAD tool is used for describing Verilog HDL and evaluating performance results of the floating point multipliers. Floating point multipliers are analyzed and compared based on area, speed, and power consumption. The FMAX of modified Booth encoding with Wallace tree is 33.96 Mhz, which is 2.04 times faster than the booth encoding, 1.62 times faster than the modified booth encoding, 1.04 times faster than the booth encoding with wallace tree. Furthermore, compared to modified booth encoding, the area of modified booth encoding with wallace tree is reduced by 24.88%, and power consumption of that is reduced by 2.5%.

A new efficient format of dynamic fixed-point number for texture mapping in mobile 3D graphics (모바일 3차원 그래픽 텍스처 매핑에 효율적인 새로운 유동형 고정 소수점 수 포맷)

  • Kim, Nam-Seok;Han, Jung-Hyun
    • Proceedings of the Korean Information Science Society Conference
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    • 2006.10a
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    • pp.135-138
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    • 2006
  • 본 논문에서는 텍스처 매핑을 처리하기 위한 텍스처 유닛 하드웨어 설계에 효율적인 새로운 유동형 소수점 포맷을 제안한다. 기존 고정 소수점 포맷은 하드웨어가 간단한 반면 고품질 텍스처 처리를 수행할 경우 오버플로우/언더플로우가 발생하며 부동 소수점 포맷은 이를 해결할 수 있으나 하드웨어가 복잡하다. 제안한 방식은 오버플로우/언더플로우를 해결하면서 부동소수점보다 하드웨어 크기를 줄여서 본 포맷을 적용한 가산기는 부동소수점보다 26% 작으며 곱셈기는 고정/부동 소수점보다 절반 이상으로 작다. 따라서 제안한 포맷은 100Mhz 이상의 빠른 동작이 가능하며 모바일 3차원 그래픽 가속기의 텍스처 유닛 설계에 효과적이다.

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Design of Decimal Floating-Point Adder for High Speed Operation with Leading Zero Anticipator (선행 제로 예측기를 이용한 고속 연산 십진 부동소수점 가산기 설계)

  • Yun, Hyoung-Kie;Moon, Dai-Tchul
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.19 no.2
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    • pp.407-413
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    • 2015
  • In this paper, a DFPA(decimal floating-point adder) designed a pipeline structure that uses a LZA(leading zero anticipator) to reduce critical route to shorten delay to improve the speed of operation processing. The evaluation and verification of performance of proposed DFPA applied the Flowrian tool with simulation and Cyclone III FPGA was set as the target on the Quartus II tool for the synthesis. The proposed method compared and verified to proposed the other method using same input data. As a result, the performance of proposed method is improved 11.2% and 5.9% more than L.K.Wang's method and etc.. Also, it is confirmed that improvement of operation processing speed and reduction of the number of delay elements on critical path.

Design of Floating Point Adder and Verification through PCI Interface (부동 소수점 가산기 모듈의 설계와 PCI 인터페이스를 통한 검증)

  • Jung Myung-Su;Sonh Seung-Il
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2006.05a
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    • pp.886-889
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    • 2006
  • 수치연산 보조프로세서로도 알려져 있는 부동 소수점 연산장치(FPU)는 컴퓨터가 사용하는 기본 마이크로프로세서보다 더 빠르게 숫자를 다를 수 있는 특별한 회로 설계 또는 마이크로프로세서를 말한다. FPU는 전적으로 대형 수학적 연산에만 초점을 맞춘 특별한 명령 셋을 가지고 있어서 그렇게 빠르게 계산을 수행할 수 있는 것이다. FPU는 오늘날의 거의 모든 PC에 장착되고 있지만, 실은 그것은 그래픽 이미지 처리나 표현 등과 같은 특별할 일을 수행할 때에 필요하다. 초창기 컴퓨터 회사들은 각기 다른 연산방식을 사용했다. 이에 따라 연산결과가 컴퓨터마다 다른 문제점을 해결하기 위해 IEEE에서는 부동 소수점에 대한 표준안을 제안하였다. 이 표준안은 IEEE Standard 754 이며, 오늘날 인텔 CPU 기반의 PC, 매킨토시 및 대부분의 유닉스 플랫폼에서 컴퓨터 상의 실수를 표현하기 위해 사용하는 가장 일반적인 표현 방식으로 발전하였다. 본 논문에서는 부동 소수점 표준안 중 32-bit 단일 정밀도 부동 소수점 가산기를 VHDL로 구현하여 FPGA칩으로 다운하고 PCI 인터페이스를 통해 Visual C++로 데이터의 입출력을 검증하였다.

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Design of Floating-Point Multiplier for Mobile Graphics Application (모바일 그래픽스 응용을 위한 부동소수점 승산기의 설계)

  • Choi, Byeong-Yoon;Salcic, Zoran
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.3
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    • pp.547-554
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    • 2008
  • In this paper, two-stage pipelined floating-point multiplier (FP-MUL) is designed. The FP-MUL processor supports single precision multiplication for 3D graphic APIs, such as OpenGL and Direct3D and has area-efficient and low-latency architecture via saturated arithmetic, area-efficient sticky-bit generator, and flagged prefix adder. The FP-MUL has about 4-ns delay time under $0.13{\mu}m$ CMOS standard cell library and consists of about 7,500 gates. Because its maximum performance is about 250 MFLOPS, it can be applicable to mobile 3D graphics application.

Temperature-Aware Microprocessor Design for Floating-Point Applications (부동소수점 응용을 위한 저온도 마이크로프로세서 설계)

  • Lee, Byeong-Seok;Kim, Cheol-Hong;Lee, Jeong-A
    • Journal of KIISE:Computer Systems and Theory
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    • v.36 no.6
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    • pp.532-542
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    • 2009
  • Dynamic Thermal Management (DTM) technique is generally used for reducing the peak temperature (hotspot) in the microprocessors. Despite the advantages of lower cooling cost and improved stability, the DTM technique inevitably suffers from performance loss. This paper proposes the DualFloating-Point Adders Architecture to minimize the performance loss due to thermal problem when the floating-point applications are executed. During running floating-point applications, only one of two floating-point adders is used selectively in the proposed architecture, leading to reduced peak temperature in the processor. We also propose a new floorplan technique, which creates Space for Heat Transfer Delay in the processor for solving the thermal problem due to heat transfer between adjacent hot units. As a result, the peak temperature drops by $5.3^{\circ}C$ on the average (maximum $10.8^{\circ}C$ for the processor where the DTM is adopted, consequently giving a solution to the thermal problem. Moreover, the processor performance is improved by 41% on the average by reducing the stall time due to the DTM.