Part a: The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law, what would you predict the number of transistors per IC to be 20 years later, in 1992? Prediction = Part b: From the chart, estimate (roughly) the number of transistors per IC in 2016. Using your estimate and Moore's Law, what would you predict the number of transistors per IC to be in 2040? Part c: Do you think that your prediction in Part b is believable? Why or why not?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 52E
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Part a: The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law, what would you predict the number of transistors per IC to be 20 years later, in 1992?

Prediction =

Part b: From the chart, estimate (roughly) the number of transistors per IC in 2016. Using your estimate and Moore's Law, what would you predict the number of transistors per IC to be in 2040?

Part c: Do you think that your prediction in Part b is believable? Why or why not? 

MultiTitan
Moore's Law – The number of transistors on integrated circuit chips (1971-2018)
Moore's law describes the empirical regularity that the number of transistors on integrated circuits doubles approximately every two years.
This advancement is important as other aspects of technological progress – such as processing speed or the price of electronic products – are
linked to Moore's law.
Our World
in Data
50,000,000,000
10,000,000,000
72-core Xeon Phi Centriq 2400 GC2 IPU
SPARC M7
832-core AMD Epyc
Apple A12X Bionic
Tegra Xavier SoC
Qualcomm Snapdragon 8cx/SCX8180
IBM z13 Storage Controller,
5,000,000,000
18-core Xeon Haswell-E5
Xbox One main Soc
61-core Xeon Phi 8 8
12-core POWERS
HISilicon Kirin 980 + Apple A12 Bionic
HiSilicon Kirin 710
10-core Core i7 Broadwell-E
Qualcomm Snapdragon 835
O Dual-core + GPU Iris Core i7 Broadwell-U
Quad-core + GPU GT2 Core i7 Skylake K
8-core Xeon Nehalem-EX
1,000,000,000
Six-core Xeon 7400
Dual-core Itanium 20
Pentium D Presler POWER6
Itan cache
500,000,000
Quad-core + GPU Core i7 Haswell
12 with
Core i7 (Quad)
Apple A7 (dual-core ARM64 "mobile SoC")
Itanium 2 Madison 6MO
Pentium D Smithfield-
AMD K10 quad-core 2M L3
Core 2 Duo Wolfdale
Itanium 2 McKinleyo
100,000,000
Core 2 Duo Conroe
Cell Core 2 Duo Wolfdale 3M
Pentium 4 Prescott-2MO OCore 2 Duo Allendale
50,000,000
AMD K8O Pentium 4 Prescott
Pentium 4 Cedar Mill
Pentium 4 Northwoode OBarton
Pentium 4 Willamette Pentium III Tualatin
Pentium II Mobile Dixone
OAtom
10,000,000
AMD K7
OPentium III Coppermine
OARM Cortex-A9
AMD K6-I
AMD K6
Pentium Pro
5,000,000
OPentium
IKatmai
8 OPentium Il Deschutes
Pentium II
Klamath
Pentium
AMD K5
SA-110
1,000,000
Intel 80486,
R4000
500,000
TI Explorer's 32-bit
Lisp'machine chip
ARM700
Intel 80386
Motorola 68020
Intel
19600
OARM 3
100,000
Motorola
Intel 80286
50,000
ARM
OIntel 80186
Intel 80860 O Intel 8088
OARM 2
ARM 1
ARM 6
10,000
Motorola
6809
WDC
65C816
TMS 1000
Zilog Z80
5,000
RCA 1802 Ontel 8085
Intel 8008
Intel 8080
Motorola MOS Technology
6800
Intel 4004
1,000
1980
1982
1984
1992
2000
2012
2018
Data source: Wikipedia (https://en.wikipedia.org/wiki/Transistor_count)
The data visualization is available at OurWorldinData.org. There you find more visualizations and research on this topic.
Licensed under CC-BY-SA by the author Max Roser.
Transistor count
1970
1972
1974
1976
1978
1986
1988
1990
1994
1996
1998
2002
2004
2006
2008
2010
2014
2016
Transcribed Image Text:MultiTitan Moore's Law – The number of transistors on integrated circuit chips (1971-2018) Moore's law describes the empirical regularity that the number of transistors on integrated circuits doubles approximately every two years. This advancement is important as other aspects of technological progress – such as processing speed or the price of electronic products – are linked to Moore's law. Our World in Data 50,000,000,000 10,000,000,000 72-core Xeon Phi Centriq 2400 GC2 IPU SPARC M7 832-core AMD Epyc Apple A12X Bionic Tegra Xavier SoC Qualcomm Snapdragon 8cx/SCX8180 IBM z13 Storage Controller, 5,000,000,000 18-core Xeon Haswell-E5 Xbox One main Soc 61-core Xeon Phi 8 8 12-core POWERS HISilicon Kirin 980 + Apple A12 Bionic HiSilicon Kirin 710 10-core Core i7 Broadwell-E Qualcomm Snapdragon 835 O Dual-core + GPU Iris Core i7 Broadwell-U Quad-core + GPU GT2 Core i7 Skylake K 8-core Xeon Nehalem-EX 1,000,000,000 Six-core Xeon 7400 Dual-core Itanium 20 Pentium D Presler POWER6 Itan cache 500,000,000 Quad-core + GPU Core i7 Haswell 12 with Core i7 (Quad) Apple A7 (dual-core ARM64 "mobile SoC") Itanium 2 Madison 6MO Pentium D Smithfield- AMD K10 quad-core 2M L3 Core 2 Duo Wolfdale Itanium 2 McKinleyo 100,000,000 Core 2 Duo Conroe Cell Core 2 Duo Wolfdale 3M Pentium 4 Prescott-2MO OCore 2 Duo Allendale 50,000,000 AMD K8O Pentium 4 Prescott Pentium 4 Cedar Mill Pentium 4 Northwoode OBarton Pentium 4 Willamette Pentium III Tualatin Pentium II Mobile Dixone OAtom 10,000,000 AMD K7 OPentium III Coppermine OARM Cortex-A9 AMD K6-I AMD K6 Pentium Pro 5,000,000 OPentium IKatmai 8 OPentium Il Deschutes Pentium II Klamath Pentium AMD K5 SA-110 1,000,000 Intel 80486, R4000 500,000 TI Explorer's 32-bit Lisp'machine chip ARM700 Intel 80386 Motorola 68020 Intel 19600 OARM 3 100,000 Motorola Intel 80286 50,000 ARM OIntel 80186 Intel 80860 O Intel 8088 OARM 2 ARM 1 ARM 6 10,000 Motorola 6809 WDC 65C816 TMS 1000 Zilog Z80 5,000 RCA 1802 Ontel 8085 Intel 8008 Intel 8080 Motorola MOS Technology 6800 Intel 4004 1,000 1980 1982 1984 1992 2000 2012 2018 Data source: Wikipedia (https://en.wikipedia.org/wiki/Transistor_count) The data visualization is available at OurWorldinData.org. There you find more visualizations and research on this topic. Licensed under CC-BY-SA by the author Max Roser. Transistor count 1970 1972 1974 1976 1978 1986 1988 1990 1994 1996 1998 2002 2004 2006 2008 2010 2014 2016
SCore 2 Duo Wd-core 2M L3
ore m Snapore i7 Broadwell-U
log(y)
Moore's law describes the empirical regularity that the number of transistors on integrated circuits doubles approximately every two years.
This advancement is important as other aspects of technological progress – such as processing speed or the price of electronic products – are
linked to Moore's law.
Moore's Law – The number of transistors on integrated circuit chips (1971-2018)
11
50,000,000,000
Our World
in Data
10
10,000,000,000
5,000,000,000
72-core Xeon Phi Centriq 2400
SPARC M7.
IBM z13 Storage Controller.
GC2 IPU
32-core AMD Epyc
Apple A12X Bionic
Tegra Xavier SoC
Qualcomm Snapdragon 8cx/SCX8180
HiSilicon Kirin 980 + Apple A12 Bionic
HISilicon Kirin 710
9.
18-core Xeon Haswell-E5-
1,000,000,000
Xbox One main Soc
61-core Xeon Phi
12-core POWERS
500,000,000
8-core Xeon Nehalem-EX
Dual-core Itanium 20
Six-core Xeon 7400
10-core Core i7 Broadwell-E
Pentium D Presler POWERE
8.
Itanium 2 with
S MB cache
Itanium 2 Madison 6MO
Pentium D Smithfield
A Dual-
Quad-core + GPU GT2 Core i7 Skylake K
Quad-core + GPU Core i7 Haswell
100,000,000
Core i7 (Quad)
Apple A7 (dual-core ARM64 "mobile SoC")
50,000,000
Itanium 2 McKinley
o'Wolfdale
Core 2 Duo Conroe
Cell Core 2 Duo Wolfdale 3M
OCore 2 Duo Allendale
Pentium 4 Cedar Mill
Pentium 4 Prescott-2MO
7
AMD K8O Pentium 4 Prescott
Pentium 4 Northwoode OBarton
Pentium 4 Willametteo O
Pentium II Mobile Dixon
10,000,000
Pentium III Tualatin
Atom
5,000,000
AMD K7O O Pentium III Coppermine
AMD K6-II
OARM Cortex-A9
AMD K6
Pentium Pro
OPentium III Katmai
8 OPentium Il Deschutes
Pentium II
OKlamath
AMD K5
1,000,000
Pentium
500,000
Intel 80486
SA-110
R4000
TI Explorer's 32-bit
Lisp'machine chip
Intel 80386
Motorola 68020 0
ARM700
100,000
Intel
19600
OARM 3
50,000
Motorola
"680000
Intel 80286
REC WRL
OIntel 80186
4
Intel 80860 O Intel 8088
ARM
9TDMI
10,000
OARM 2
ARM 1
TMS 1000
Motorola
"6809
WDC
65C816
ARM 6
Zilog Z80
5,000
RCA 1802 Ontel 8085
NCA016
Intel 8008
ntel 8080
3.
Intel 4004
Motorola Technology
1,000
1970
1972
1974
1976
1980
1982
1984
1978
1990
1992
1994
1988
Data source: Wikipedia (https://en.wikipedia.org/wiki/Transistor_count)
The data visualization is available at OurWorldinData.org. There you find more visualizations and research on this topic.
1998
2014
2016
2006
2010
2012
Licensed under CC-BY-SA by the author Max Roser.
Transistor count
986
966
0007
2002
2004
2008
2018
Transcribed Image Text:SCore 2 Duo Wd-core 2M L3 ore m Snapore i7 Broadwell-U log(y) Moore's law describes the empirical regularity that the number of transistors on integrated circuits doubles approximately every two years. This advancement is important as other aspects of technological progress – such as processing speed or the price of electronic products – are linked to Moore's law. Moore's Law – The number of transistors on integrated circuit chips (1971-2018) 11 50,000,000,000 Our World in Data 10 10,000,000,000 5,000,000,000 72-core Xeon Phi Centriq 2400 SPARC M7. IBM z13 Storage Controller. GC2 IPU 32-core AMD Epyc Apple A12X Bionic Tegra Xavier SoC Qualcomm Snapdragon 8cx/SCX8180 HiSilicon Kirin 980 + Apple A12 Bionic HISilicon Kirin 710 9. 18-core Xeon Haswell-E5- 1,000,000,000 Xbox One main Soc 61-core Xeon Phi 12-core POWERS 500,000,000 8-core Xeon Nehalem-EX Dual-core Itanium 20 Six-core Xeon 7400 10-core Core i7 Broadwell-E Pentium D Presler POWERE 8. Itanium 2 with S MB cache Itanium 2 Madison 6MO Pentium D Smithfield A Dual- Quad-core + GPU GT2 Core i7 Skylake K Quad-core + GPU Core i7 Haswell 100,000,000 Core i7 (Quad) Apple A7 (dual-core ARM64 "mobile SoC") 50,000,000 Itanium 2 McKinley o'Wolfdale Core 2 Duo Conroe Cell Core 2 Duo Wolfdale 3M OCore 2 Duo Allendale Pentium 4 Cedar Mill Pentium 4 Prescott-2MO 7 AMD K8O Pentium 4 Prescott Pentium 4 Northwoode OBarton Pentium 4 Willametteo O Pentium II Mobile Dixon 10,000,000 Pentium III Tualatin Atom 5,000,000 AMD K7O O Pentium III Coppermine AMD K6-II OARM Cortex-A9 AMD K6 Pentium Pro OPentium III Katmai 8 OPentium Il Deschutes Pentium II OKlamath AMD K5 1,000,000 Pentium 500,000 Intel 80486 SA-110 R4000 TI Explorer's 32-bit Lisp'machine chip Intel 80386 Motorola 68020 0 ARM700 100,000 Intel 19600 OARM 3 50,000 Motorola "680000 Intel 80286 REC WRL OIntel 80186 4 Intel 80860 O Intel 8088 ARM 9TDMI 10,000 OARM 2 ARM 1 TMS 1000 Motorola "6809 WDC 65C816 ARM 6 Zilog Z80 5,000 RCA 1802 Ontel 8085 NCA016 Intel 8008 ntel 8080 3. Intel 4004 Motorola Technology 1,000 1970 1972 1974 1976 1980 1982 1984 1978 1990 1992 1994 1988 Data source: Wikipedia (https://en.wikipedia.org/wiki/Transistor_count) The data visualization is available at OurWorldinData.org. There you find more visualizations and research on this topic. 1998 2014 2016 2006 2010 2012 Licensed under CC-BY-SA by the author Max Roser. Transistor count 986 966 0007 2002 2004 2008 2018
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