摘要: Since development of the first computing system, there has been a continual quest for faster systems. This is result successful accomplishments with given system which lead to desires do even more, thereby requiring better performance. In many applications, performance requires arithmetic. Recent progress in optical processing suggests that digital arithmetic may eliminate today’s bottlenecks. paper provides an introduction concepts (and literature) The primary emphasis on number systems and algorithms addition, subtraction, multiplication, division, since these operations are basis current
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Harvey L. Garner, Number Systems and Arithmetic Advances in Computers. ,vol. 6, pp. 131- 194 ,(1966) , 10.1016/S0065-2458(08)60420-9
Kuck, Parker, Sameh, Analysis of Rounding Methods in Floating-Point Arithmetic IEEE Transactions on Computers. ,vol. 26, pp. 643- 650 ,(1977) , 10.1109/TC.1977.1674897
C. S. Wallace, A Suggestion for a Fast Multiplier IEEE Transactions on Electronic Computers. ,vol. 13, pp. 14- 17 ,(1964) , 10.1109/PGEC.1964.263830
T.G. McDonald, R.K. Guha, The Two's Complement Quasi-Serial Multiplier IEEE Transactions on Computers. ,vol. 24, pp. 1233- 1235 ,(1975) , 10.1109/T-C.1975.224170
Robert F. Shaw, Arithmetic Operations in a Binary Computer Review of Scientific Instruments. ,vol. 21, pp. 687- 693 ,(1950) , 10.1063/1.1745692
Domenico Ferrari, A Division Method Using a Parallel Multiplier IEEE Transactions on Electronic Computers. ,vol. EC-16, pp. 224- 226 ,(1967) , 10.1109/PGEC.1967.264580
E.E. Swartzlander, A.G. Alexopoulos, The Sign/Logarithm Number System IEEE Transactions on Computers. ,vol. 24, pp. 1238- 1242 ,(1975) , 10.1109/T-C.1975.224172
ANDREW D. BOOTH, A SIGNED BINARY MULTIPLICATION TECHNIQUE Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 4, pp. 236- 240 ,(1951) , 10.1093/QJMAM/4.2.236
P. Welch, A fixed-point fast Fourier transform error analysis IEEE Transactions on Audio and Electroacoustics. ,vol. 17, pp. 151- 157 ,(1969) , 10.1109/TAU.1969.1162035
D.E. Atkins, Higher-Radix Division Using Estimates of the Divisor and Partial Remainders IEEE Transactions on Computers. ,vol. C-17, pp. 925- 934 ,(1968) , 10.1109/TC.1968.226439