Moores Law In 1965 Gordon Moore predicted that the number N of transistors on a

Chapter 5, Problem 29

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Moores Law In 1965 Gordon Moore predicted that the number N of transistors on a microchip would increase exponentially. (a) Does the table of data below confirm Moores prediction for the period from 1971 to 2000? If so, estimate the growth constant k. (b) Plot the data in the table. (c) Let N (t) be the number of transistors t years after 1971. Find an approximate formula N (t) Cekt , where t is the number of years after 1971. (d) Estimate the doubling time in Moores Law for the period from 1971 to 2000.(e) How many transistors will a chip contain in 2020 if Moores Law continues to hold? (f) Can Moore have expected his prediction to hold indefinitely? Processor Year No. Transistors 4004 1971 2250 8008 1972 2500 8080 1974 5000 8086 1978 29,000 286 1982 120,000 386 processor 1985 275,000 486 DX processor 1989 1,180,000 Pentium processor 1993 3,100,000 Pentium II processor 1997 7,500,000 Pentium III processor 1999 24,000,000 Pentium 4 processor 2000 42,000,000 Xeon processor 2008 1,900,000,000