ON LIMITS IN COMPUTING POWER

Abstract

At one time or another you have probably all heard of the growth figures quoted for the computing industry in the double decade of1955-1975; these figures are part history and part extrapolation, but to the extent that history has progressed since the estimates were made, the extrapolations are valid. In these twenty years the size of the computer has decreased 10,000-fold for equal computational capability. The unit cost of calculation is down by the startling figure of 200,000-fold, while speed has increased 40,000-fold. Also, there has been an explosive growth of installed capacity, which over the double decade of 1955-1975 has increased 160,000-fold. The T70s have been extensively analyzed and projected, and by 1975 or so machines ought to operate close to 10 operations per second. This morning I thought it would be more exciting to move on into the T80s to see what limits might set a ceiling on computational capability. These thoughts do not reflect original research on my part; rather I have tried to extrapolate from the work of others. There is not universal agreement about the arguments on which I draw, so my conclusions must be considered as "ballpark" guidelines. Although I recognize that we can conceivably get increasing capability from software improvements, or from better numerical analytic techniques and better mathematics, I want to avoid these issues today and talk about (1) the hardware, particularly with respect to component speeds and the limitations imposed by the laws of physics; (2) the logical arrangements used to implement arithmetic; and (3) the overall machine architecture.

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Document Details

Document Type
Technical Report
Publication Date
Jul 14, 1969
Accession Number
AD0694745

Entities

People

  • Willis H. Ware

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Arithmetic
  • Arithmetic Units
  • Computers
  • Computing Devices
  • Data Processing
  • Electronic Components
  • Energy
  • Extrapolation
  • Fabrication
  • Heat Transfer
  • Logic
  • Logic Elements
  • Magnetic Tape
  • Mathematical Analysis
  • Mathematics
  • Semiconductors

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Military History of the United States in the 20th Century.
  • Systems Analysis and Design