Boots – shoes – and leggings
Patent
1978-11-09
1982-12-14
Smith, Jerry
Boots, shoes, and leggings
G06F 752
Patent
active
043641156
ABSTRACT:
A division A/B where A and B are represented in a radix D (assuming the absolute value of D is greater than one) can be accomplished by evaluating a power series. It is very important not only for the power series to converge but also to converge quickly in practical application. When the convergence rate of the power series is close to one, the convergence is slow. Usually it results in lengthy and time-consuming computation to obtain a reasonably good approximation of the reciprocal of the divisor B. The invention that accelerates the convergence could be used in a digital computation system for performing a faster division A/B. In digital system, the dividend A and the divisor B are stored in digital registers. This invented apparatus determines acceleration constants from the stored digits of the divisor B and the determinate constants are multiplied to the stored numbers A and B. Then, the convergence rate of the power series of A'/B' where A' and B' are the constant multiplied A and B, respectively, becomes a smaller number so that an evaluation of the power series can be performed very quickly. Thus, the power series implementation to division process is useful in practical application.
REFERENCES:
patent: 3234367 (1966-02-01), Ottaway et al.
patent: 3736413 (1973-05-01), Ferguson
patent: 3828175 (1974-08-01), Amdahl et al.
patent: 3917935 (1975-11-01), Lazecki
patent: 4025773 (1977-05-01), Bennett
A. Svoboda, "An Algorithm for Division," Information Processing Machines, No. 9, 1963, pp. 25-34.
D. Ferrari, "A Division Method Using a Parallel Multiplier," IEEE Trans. on Elect. Computers, Apr. 1967, pp. 224-226.
Rainer Norman B.
Smith Jerry
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