期末考试课程于星期五周下午solutions to questions in chapter 3三章问题解答.pptx

Endtermexam

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A1204:Smart/EliteandSelectedClasses

A1205:SoftwareandForeignClasses

Thechangingalwaysmessesuptheplanning(计划赶不上变化)!

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Butyoudoneedtoattendthelectureon25/11/2011(Friday)asusual:A1307(lessons1~2)forEliteandSelectedstudents;A1304(lessons3~4)forforeignstudents

3

Exercises

HowtochangeaDecimaltoBinary

Twoways:

AsshowninFigure3.4onpage30ofthetextbook

Usepowerof2toexpandadecimalnumber(positionalvalue)asapolynomial,say,thenumberisN,then

N=Bn2n+Bn-12n-1+Bn-22n-2+…+B222+B121+B020,

Thecoefficientsare(Bn,Bn-1,Bn-2,…,B2,B1,B0)=(binary).

Forexample,givenanumberof5,wecanexpanditintoapolynomialofpowerof2:

5=122+021+120-(B2B1B0)=(101)

onemoreexample:

9=123+022+021+120-(B3B2B1B0)=(1001)

4

Errorcorrection:

UnderSection3.6(p44):

Theoriginalrepresentation:(01000000000000)IEEE=x42A39000

iswrong!

Thecorrectoneisasfollows:

(81)10=(1010001)2;(0.5625)10=(0.1001)2,so,

(81.5625)10=(1010001.1001)2=+(261.)2

=(000000)IEEE=(42A32000)16

Solutionstoquestionsinchapter3

5

3-62(p48).wecanhavedifferentwaytodotwo’scomplement!

a)Original:

Two’scomplementit(textbook’sway)gives:

Applyone’scomplement+1(newway)gives:b.Original:

Two’scomplementit(textbook’sway)gives:

Applyone’scomplement+1(newway)gives:c.Original:

Two’scomplementit(textbook’sway)gives:

Applyone’scomplement+1(newway)gives:d.Original:110011110;

Two’scomplementit(textbook’sway)gives:

Applyone’scomplement+1(newway)gives:S