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1.20ProvideadefinitionofMoore’slaw.
ICtransistorcapacitydoublesevery18months.
1.21Computetheannualgrowthrateof(a)ICcapacity,and(b)designerproductivity.
(a)AnnualgrowthrateofICcapacity
X=ICcapacityofcurrentyear
Y=ICcapacityofcurrentyear+3years
r=growthrate
every18monthschipcapacitydoublesthereforein3yearschipssizeis4xaslarge
Y=X*r*r*r=4X
X*r3=4X
r=3√4r=1.587
(b)Annualgrowthrateofdesignerproductivity
1981productivity=100transistors/designermonth
2002productivity=5,000transistors/designermonth
X=productivityin1981
2002-1981=21years
X*r21=(5,000/100)X
r21=50
r=21√50r=1.205
1.22IfMoore’slawcontinuestohold,predicttheapproximatenumberoftransistorsper
leadingedgeICin(a)2030,(b)2050.
#transistorsinyearB=#transistorsinyearA*annualgrowthrate(yearB-yearA)
(a)#transistorsin2030=#transistorsin2002*annualgrowthrate(2030-2002)
=150,000,000*1.58728
=61,900,000,000,000
(b)#transistorsin2050=#transistorsin2002*annualgrowthrate(2050-2002)
10EmbeddedSystemDesign