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<H2>2.12&nbsp;&nbsp;&nbsp;References</H2>



<P><P CLASS="Reference"><A NAME="pgfId=202456"></A>Page numbers in brackets

after a reference indicate its location in the chapter body.</P>



<P><P CLASS="Reference"><A NAME="pgfId=163032"></A>Bedrij, O. 1962. &quot;Carry

select adder.&quot; IRE Transactions on Electronic Computers, vol. 11, pp.

340346. Original reference to carry-select adder. See also [Weste, 1993]

p. 532. [p.&nbsp;84]</P>



<P><P CLASS="Reference"><A NAME="pgfId=169194"></A>Booth, A. 1951. &quot;A

signed binary multiplication technique.&quot; Quarterly Journal of Mechanics

and Applied Mathematics, vol. 4, pt. 2, pp. 236240. Original reference for

the Booth-encoded multiplier. See also Swartzlander [1990] and Weste [1993,

pp. 547554]. [p.&nbsp;91]</P>



<P><P CLASS="Reference"><A NAME="pgfId=169186"></A>Brent, R., and H. T.

Kung. 1982. &quot;A regular layout for parallel adders.&quot; IEEE Transactions

on Computers, vol. 31, no. 3, pp. 260264. Describes a regular carry-lookahead

adder. [p.&nbsp;84]</P>



<P><P CLASS="Reference"><A NAME="pgfId=192580"></A>Brodersen, R. (Ed.).

1992. <SPAN CLASS="Emphasis"> Anatomy of a Silicon Compiler.</SPAN> Boston:

Kluwer, 362 p. ISBN 0-7923-9249-3. TK7874.A59.</P>



<P><P CLASS="Reference"><A NAME="pgfId=179499"></A>Campbell, S. 1996. <SPAN CLASS="Emphasis">

The Science and Engineering of Microelectronic Fabrication.</SPAN> New York:

Oxford University Press, 536 p. ISBN 0-19-510508-7. TK7871.85.C25. [p.&nbsp;116]</P>



<P><P CLASS="Reference"><A NAME="pgfId=192546"></A>Cavanagh, J. J. F. 1984.

<SPAN CLASS="Emphasis"> Digital Computer Arithmetic Design and Implementation.</SPAN>

New York: McGraw-Hill, 468 p. QA76.9.C62.C38. ISBN 0070102821.</P>



<P><P CLASS="Reference"><A NAME="pgfId=192591"></A>Chandrakasan A. P., and

R. Brodersen. 1995. <SPAN CLASS="Emphasis"> Low Power Digital CMOS Design.</SPAN>

Boston: Kluwer, 424 p. ISBN 0-7923-9576-X. TK7871.99.M44C43.</P>



<P><P CLASS="Reference"><A NAME="pgfId=192472"></A>Chang, C. Y., and S.

M. Sze. 1996. <SPAN CLASS="Emphasis"> ULSI Technology.</SPAN> New York:

McGraw-Hill, 726 p. ISBN 0070630623.</P>



<P><P CLASS="Reference"><A NAME="pgfId=165163"></A>Chen, C. H. (Ed.). 1992.

<SPAN CLASS="Emphasis"> Computer Engineering Handbook.</SPAN> New York:

McGraw-Hill. ISBN 0-07-010924-9. TK7888.3.C652. Chapter 4, &quot;Computer

arithmetic,&quot; by E. E. Swartzlander, pp. 20, contains descriptions of

adder, multiplier, and divider architectures.</P>



<P><P CLASS="Reference"><A NAME="pgfId=181512"></A>Chen, J. Y. 1990. CMOS

Devices and Technology for VLSI. Englewood Cliffs, NJ: Prentice-Hall, 348

p. ISBN 0-13-138082-6. TK7874.C523.</P>



<P><P CLASS="Reference"><A NAME="pgfId=153443"></A>Dadda, L. 1965. &quot;Some

schemes for parallel multipliers.&quot; Alta Frequenza, vol. 34, pp. 349356.

The original reference to the Dadda multiplier. This paper contains some

errors in the diagrams for the multipliers; some remain in the reprint in

Swartzlander [1990, vol. 1]. See also sequel papers: L. Dadda and D. Ferrari,

&quot;Digital multipliers: a unified approach,&quot; Alta Frequenza, vol.

37, pp. 10791086, 1968; and L. Dadda, &quot;On parallel digital multipliers,&quot;

Alta Frequenza, vol. 45, pp. 574580, 1976. [p.&nbsp;92]</P>



<P><P CLASS="Reference"><A NAME="pgfId=180606"></A>Denyer, P. B., and D.

Renshaw. 1985. <SPAN CLASS="Emphasis"> VLSI Signal Processing: A Bit-Serial

Approach.</SPAN> Reading, MA: Addison-Wesley, 312 p. ISBN 0201144042. TK7874.D46.

See also P. B. Denyer and S. G. Smith, <SPAN CLASS="Emphasis"> Serial-Data

Computation.</SPAN> Boston: Kluwer, 1988, 239 p. ISBN 089838253X. TK7874.S623.

[p.&nbsp;88]</P>



<P><P CLASS="Reference"><A NAME="pgfId=165462"></A>Diaz, C. H., <SPAN CLASS="Emphasis">

et al.</SPAN> 1995. Modeling of Electrical Overstress in Integrated Circuits.

Norwell, MA: Kluwer Academic, 148 p. ISBN 0-7923-9505-0. TK7874.D498. Includes

101 references. Introduction to ESD problems and models.</P>



<P><P CLASS="Reference"><A NAME="pgfId=7935"></A>Ferrari, D., and R. Stefanelli.

1969. &quot;Some new schemes for parallel multipliers.&quot; Alta Frequenza,

vol. 38, pp. 843852. The original reference for the FerrariStefanelli multiplier.

Describes the use of 2-bit and 3-bit submultipliers to generate the product

array. Contains tables showing the number of stages and delay for different

configurations. [p.&nbsp;93]</P>



<P><P CLASS="Reference"><A NAME="pgfId=192507"></A>Gajski, D. D. (Ed.).

1988. <SPAN CLASS="Emphasis"> Silicon Compilation.</SPAN> Reading, MA: Addison-Wesley,

450 p. ISBN 0-201-109915-2. TK7874.S52.</P>



<P><P CLASS="Reference"><A NAME="pgfId=202454"></A>Goldberg, D. 1990. &quot;Computer

arithmetic.&quot; In D. A. Patterson and J. L. Hennessy, <SPAN CLASS="Emphasis">

Computer Architecture: A Quantitative Approach.</SPAN> San Mateo, CA: Morgan

Kaufmann, 2nd ed., 1995. QA76.9.A73. P377. ISBN 1-55860-329-8. See also

the first edition of this book (1990).</P>



<P><P CLASS="Reference"><A NAME="pgfId=192220"></A>Haskard, M. R., and I.

C. May. 1988. Analog VLSI Design: nMOS and CMOS. Englewood Cliffs, NJ: Prentice-Hall,

243 p. ISBN 0-13-032640-2. TK7874.H392.</P>



<P><P CLASS="Reference"><A NAME="pgfId=192513"></A>Hwang, K. 1979. <SPAN CLASS="Emphasis">

Computer Arithmetic: Principles, Architecture, and Design.</SPAN> New York:

Wiley, 423 p. ISBN 0471034967. TK7888.3.H9.</P>



<P><P CLASS="Reference"><A NAME="pgfId=192636"></A>Katz, R. H., 1994. <SPAN CLASS="Emphasis">

Contemporary Logic Design.</SPAN> Reading, MA: Addison-Wesley, 699 p. ISBN

0-8053-2703-7.</P>



<P><P CLASS="Reference"><A NAME="pgfId=153389"></A>Keutzer, K., S. Malik,

and A. Saldanha. 1991. &quot;Is redundancy necessary to reduce delay?&quot;

IEEE Transactions on Computer-Aided Design, vol. 10, no. 4, pp. 427435.

Describes the carry-skip adder. The paper describes the redundant logic

that is added in a carry-skip adder and how to remove it without changing

the function or delay of the circuit. [p.&nbsp;83]</P>



<P><P CLASS="Reference"><A NAME="pgfId=165391"></A>Lehman, M., and N. Burla.

1961. &quot;Skip techniques for high-speed carry-propagation in binary arithmetic

units.&quot; IRE Transactions on Electronic Computers, vol. 10, pp. 691698.

Original reference to carry-skip adder. [p.&nbsp;83]</P>



<P><P CLASS="Reference"><A NAME="pgfId=192410"></A>MacSorley, O. L. 1961.

&quot;High speed arithmetic in binary computers.&quot; IRE Proceedings,

vol. 49, pp. 6791. Early reference to carry-lookahead adder. Reprinted in

Swartzlander [1990, vol.&nbsp;1]. See also Weste [1993, pp. 526529]. [p.&nbsp;84]</P>



<P><P CLASS="Reference"><A NAME="pgfId=200597"></A>Mead, C. A. 1989. <SPAN CLASS="Emphasis">

Analog VLSI and Neural Systems.</SPAN> Reading, MA: Addison-Wesley, p.371.

ISBN 0-201-05992-4. QA76.5.M39. Includes a description of MOS device operation.</P>



<P><P CLASS="Reference"><A NAME="pgfId=192415"></A>Muller, R. S., and T.

I. Kamins. 1977. <SPAN CLASS="Emphasis"> Device Electronics for Integrated

Circuits.</SPAN> New York: Wiley, p. 404. ISBN 0-471-62364-4. TK7871.85.M86.

See also the second edition of this book (1986).</P>



<P><P CLASS="Reference"><A NAME="pgfId=165127"></A>Mukherjee, A. 1986. Introduction

to nMOS and CMOS VLSI Systems Design. Englewood Cliffs, NJ: Prentice-Hall,

370 p. ISBN 0-13-490947-X. TK7874.M86.</P>



<P><P CLASS="Reference"><A NAME="pgfId=7964"></A>Rabaey, J. 1996. <SPAN CLASS="Emphasis">

Digital Integrated Circuits: A Design Perspective.</SPAN> Englewood Cliffs,

NJ: Prentice-Hall, pp. 700. ISBN 0-13-178609-1. TK7874.65.R33. Chapters

4 and 7 describe the design of full-custom CMOS datapath circuits.</P>



<P><P CLASS="Reference"><A NAME="pgfId=190112"></A>Ranganathan, N. (Ed.).

1993. <SPAN CLASS="Emphasis"> VLSI Algorithms and Architectures: Fundamentals.</SPAN>

New York: IEEE Press, 305 p. ISBN 0-8186-4390-0. TK7874.V5554. See also

N. Ranganathan (Ed.), 1993. <SPAN CLASS="Emphasis"> VLSI Algorithms and

Architectures: Advanced Concepts.</SPAN> New York: IEEE Press, 303&nbsp;p.

ISBN 0-8186-4400-1. TK7874.V555. Collections of articles mostly from <SPAN CLASS="Emphasis">

Computer</SPAN> and <SPAN CLASS="Emphasis"> IEEE Transactions on Computers</SPAN>

.</P>



<P><P CLASS="Reference"><A NAME="pgfId=181736"></A>Sato, T., <SPAN CLASS="Emphasis">

et al</SPAN> . 1992. &quot;An 8.5<SPAN CLASS="White">&nbsp;</SPAN>ns

112-b transmission gate adder with a conflict-free bypass circuit.&quot;

IEEE Journal of Solid-State Circuits, vol. 27, no. 4, pp. 657659. Describes

an implementation of a carry-bypass adder. [p.&nbsp;82]</P>



<P><P CLASS="Reference"><A NAME="pgfId=195948"></A>Sklansky, J. 1960. &quot;Conditional-sum

addition logic.&quot; IRE Transactions on Electronic Computers, vol. 9,

pp. 226231. Original reference to conditional-sum adder. Several texts have

propagated an error in the spelling of Sklansky (two k's). See also [Weste,

1993] pp. 532533; A. Rothermel <SPAN CLASS="Emphasis"> et al</SPAN> ., &quot;Realization

of transmission-gate conditional-sum (TGCS) adders with low latency time,&quot;

IEEE Journal of Solid-State Circuits, vol. 24, no. 3, 1989, pp. 558561;

each of these are examples of adders based on Sklansky's design. [p.&nbsp;86]</P>



<P><P CLASS="Reference"><A NAME="pgfId=195953"></A>Swartzlander, E. E.,

Jr. 1990. <SPAN CLASS="Emphasis"> Computer Arithmetic.</SPAN> Los Alamitos,

CA: IEEE Computer Society Press, vols. 1 and 2. ISBN 0818689315 (vol. 1).

QA76.6.C633. Volume 1 is a reprint (originally published: Stroudsberg, PA:

Dowden, Hutchinson &amp; Ross). Volume 2 is a sequel. Contains reprints

of many of the early (19601970) journal articles on adder and multiplier

architectures.</P>



<P><P CLASS="Reference"><A NAME="pgfId=165479"></A>Sze, S. (Ed.). 1988.

<SPAN CLASS="Emphasis"> VLSI Technology.</SPAN> New York: McGraw-Hill, 676

p. ISBN 0-07-062735-5. TK7874.V566. Edited book on fabrication technology.</P>



<P><P CLASS="Reference"><A NAME="pgfId=179510"></A>Trontelj, J., et al.

1989. Analog Digital ASIC Design. New York: McGraw-Hill, 249 p. ISBN 0-07-707300-2.

TK7874.T76.</P>



<P><P CLASS="Reference"><A NAME="pgfId=7952"></A>Uyemura, J. P. 1992. Circuit

Design for CMOS VLSI. Boston: Kluwer, 450 p. ISBN 0-7923-9184-5. TK7874.U93.

See also: J. P. Uyemura, 1988, Fundamentals of MOS Digital Integrated Circuits,

Reading, MA: Addison-Wesley, 624 p. ISBN 0-201-13318-0. TK7874.U94. Includes

basic circuit equations related to NMOS and CMOS logic design.</P>



<P><P CLASS="Reference"><A NAME="pgfId=180605"></A>Wakerly, J. F. 1994.

Digital Design: Principles and Practices. 2nd ed. Englewood Cliffs, NJ:

Prentice-Hall, 840 p. ISBN 0-13-211459-3. TK7874.65.W34. Undergraduate level

introduction to logic design covering: binary arithmetic, CMOS and TTL,

combinational logic, PLDs, sequential logic, memory, and the IEEE standard

logic symbols.</P>



<P><P CLASS="Reference"><A NAME="pgfId=192498"></A>Wallace, C. S. 1960.

&quot;A suggestion for a fast multiplier.&quot; IEEE Transactions on Electronic

Computers, vol. 13, pp. 1417. Original reference to Wallace-tree multiplier.

Reprinted in Swartzlander [1990, vol. 1]. [p.&nbsp;91]</P>



<P><P CLASS="Reference"><A NAME="pgfId=192491"></A>Waser, S., and M. J.

Flynn. 1982. <SPAN CLASS="Emphasis"> Introduction to Arithmetic for Digital

Systems Designers.</SPAN> New York: Holt, Rinehart, and Winston, 308 p.

ISBN 0030605717. TK7895.A65.W37. [p.&nbsp;116]</P>



<P><P CLASS="Reference"><A NAME="pgfId=106221"></A>Weste, N. H. E., and

K. Eshraghian. 1993. Principles of CMOS VLSI Design: A Systems Perspective.

2nd ed. Reading, MA: Addison-Wesley, 713 p. ISBN 0-201-53376-6. TK7874.W46.

Chapter 5 covers CMOS logic gate design. Chapter 8 covers datapath elements.

See also the first edition of this book. [p.&nbsp;82]</P>



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