By Mi Lu

ISBN-10: 0471469459

ISBN-13: 9780471469452

Mathematics and good judgment in computers offers an invaluable consultant to a basic topic of desktop technology and engineering. Algorithms for acting operations like addition, subtraction, multiplication, and department in electronic desktops are offered, with the aim of explaining the recommendations at the back of the algorithms, instead of addressing any direct functions. substitute equipment are tested, and factors are provided of the basic fabrics and reasoning at the back of theories and examples.

No different present books take care of this topic, and the writer is a number one authority within the box of computing device mathematics. The textual content introduces the normal Radix quantity process and the Signed-Digit quantity approach, in addition to Residue quantity approach and Logarithmic quantity method. This booklet serves as a necessary, updated consultant for college kids of electric engineering and laptop and mathematical sciences, in addition to training engineers and computing device scientists all in favour of the layout, software, and improvement of computing device mathematics devices.

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**Additional resources for Arithmetic and Logic in Computer Systems (Wiley Series in Microwave and Optical Engineering, Book 169)**

**Example text**

Elec. , vol. EC-7, no. 4, Dec. 1958, pp. 313-316. 6. I. Flores, The Logic of Computer Arithmetic, Prentice-Hall, Englewood Cliffs, NJ, 1963. 7. H. L. Garner, “Number Systems and Arithmetic,” in Advances in Computers, Vol. 6, F. L. Alt and M. Rubinoff, eds. Academic Press, New York, 1965. pp. 131-194. 8. H. L. Garner, “A Survey of Recent Contributions to Computer Arithmetic,” ZEEE Trans. , Vol. C-25, No. 12, Dec. 1976, pp. 1277-1282. 9. D. Goldberg, “Computer Arithmetic,” in Computer Architecture: A Quantitative Approach, D.

B) It is a hexadecimal number? 2 Let n be the number of integer digits and k the number of fraction digits. 125, PROBLEMS 27 (a) Represent Y in binary with (n,k) = (5,3); (b) Represent Y in octal with (n,Ic) = ( 2 , l ) . 00101)2 to a hexadecimal number. 1816 to an octal number. 4 Let X = ( ~ ~ -. 1 2 1 2 0 ) 2 . Verify (a) The sum of X and the 1’s complement of X is 0; (b) The sum of X and the 2’s complement of X is -0. From the above we can see that X (-X) = 0 where -X can be represented in 1’s or 2’s complement form.

L. Garner, “A Survey of Recent Contributions to Computer Arithmetic,” ZEEE Trans. , Vol. C-25, No. 12, Dec. 1976, pp. 1277-1282. 9. D. Goldberg, “Computer Arithmetic,” in Computer Architecture: A Quantitative Approach, D. A. Patterson, and J. L. Hennessy, Morgan Kaufmann, San Mateo, CA, 1996. 10. J. B. Gosling, Design ofArithmetic Unitsfor Digital Computers,Springer-Verlag, New York, 1980. 11. K. Hwang, Computer Arithmetic: Principles, Architecture and Design, Wiley, New York, 1978. 12. K. Hwang and T.

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