EmbeddedSystemDesign《嵌入式系统设计》课后答案(英文版)(12)

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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

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