1OMAT41

Semester B,E. DegrEngineering

Dec.20l4lJao.20l5rt

EEM:a

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a

Note: t. An\tlu a"r FIlElu qkstiohs, sele.th,gatleast Two q".!rk ,s fro", each pa .

2. Use ol sturisic.l k,blei: pentified.

PART-Aa. Employ Tavlofs series merhod b find rn approxinare solution ro find y ar \ = 0.1 eiren

- . - \'. .r0) - lb\.or..de,.nE o'uio'r\dcg.e".en

b s.hr'neilloLL,Cb) rle''.,odrcd,e,oo:1- o9\ ),

c. Givtr q=xr(Hy) andy(r) = r. y(l,l)= 1.231, (1.:): r 5.1s, y(r3) = r.979 Elalulte

I1.4) by Adams B6b lbnh method. Apply cotrector lormula 6vi.e.

'ore:)-,- ,d : - ro' -,'b.aoor.,epLi.c..,,,d\ dry(0)= 0 and z(0)= I Takc h= 0.3Use licard\ nrthod 1o obtain rhe se..nd approunation to dre soluiion ol

--.,' \ 0 P.ren\r0l l.?,0 0\4. f'J tr.

Afply Milne s merhod to conrpute 104) gilen y'+ ry + r = 0. (0) =y(0 l) = 0.995, y'(0.1) = -0.0995. (0.1) = 0.9802. y'(0 2) = -0 196. !(0l)y'(0.3)=-0.1861

l.t(0)=0.

Deilc Cdcby-Riemann equ ioninca esia. fonn

Fird d analrtic tuncrion (z) v|ose real p!r! n

If (z) is a h.l..n,qrhrc tuncdon oaz, l[en show lhat

Dn.us the tra,Erorm ion w=z+1.

FiDd rhc BIT Nhich nmps rhe polnrs 2 = r. i, -t to rv=i.0.

(07M,rk,

tot +)Ltetlt =t'rzt(07\r'rr,

106I!rk,

(r7Nr,rLt

(0rILrktlz = jiI r, L,'i. 2)

PART BExpe$ (x) =xr - lxr x: 5x 2 inrems oflesendrcpolynonixls.Obtxinrhe soluiio..l xr!" r/ +(xr xr) v=0 i.tnN olJ,j(x) and l"(x)

DcnLcFodf que's ronnurr !.(\,=*lft, , t.

lolnAT4I

Srarerheaxiomsolprobabihy IoranyNoerentsAandB.prorctlut,P(A! B)= P(A) - P(B) P(A^B) (06\rrrktAbox A contains 2 Nhne and4 black balk. Another box B'conrains s ivhire and 7 blackballs. A ball is tFnsfered fiotu the bor A ro dr box ts. Then a ball hdraNn nofl rlE box BFind the probability rMtn islhite. (o7nt!rk,lna ccnain..llcec 4'r; olthc boF and l% ofgirls are rallerthad l3m Iiurther.rorc 60r%

ofrhestudd.rsare girls.Ila srudent 6selecredftrandom aod h foud ro be taller rhan I 3mrihat,s $c prcbabihy thafthe student is a Enl? (07Nr{k,

a. The probabiiity density of a continuous mndotu \ldable is

p1\)=!"e',-lO<r<r Find rh. Aho fin,l the mean.

b. Obtain the nrean and variance ofbiiromialdntibnlionc h a resl on ?000 clscriic bulbs, ir Nas fou.d rLat rhe life ola parri.nlar make

disiiibutcd with an average liti 0120,10 hou6 and SD of60 honrs. Esrirnarebulbs likely $ butu loi.i) Mor. than 2150 houriir I es th,n ls50 h.nrriil \4ore rhan 19120 [oun bul less than 2160 h.nr\cnt '

1r t 0.dri:. A(t.81\ 0466t qL: -nJ--t.

= 11.07 for sdil.

a. hacnr, A 2090 ola mdoo sanple of900 school bols had s cerain slieht physjcatdelect ln anolher c y B, 18 5% of a rBndom sample ol 1600 school bots had rhc samedelict. h rhe diference bettreenrheprotonioB is sisnificanr) whylA nrnutncturr claimed that atlcas 9591olthe cquipment \rhich he suFptied ro a tacloryconibnned to specincations. An eramina.on of a sanrple ol I()(] pieces ol cqDiFme.rrc\raled tnat IE oathem wcrc aauty. Te$ hn claim ar a significance lc\clol1% and 5%

A set ottive similni.oids i5 tolsed 320 hmcs and rhe iesut is (07\r'rr'

0 7

112 7lhc dd,, {olLus r bnrom,r dEk'bunon h;l

Fourth Scmcstcr B.E. Degr€e Examination,Microcontrollers

l0Es42

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r;otet An:wpta,tFtvEfi qnestio,s, sel.tins aleast TtyO questionsto eoth pai.

hrplxin the opentior ollollowlnE code \riih Espet b nack

Briefly exrlrin the .ange ofrel iveaddE$ing.

a Explain ORC.END. DB andIQudrcdives (orM,*,b. Using subEunnc. Rnte a submurir. ro get .nc second de oy. Use srbFurine rrn,.r as

lor I Bssubroutine : ONE_i\llLI_SUBror lssubrourine:ONE SEC SUB 00Nl!*,

c. wnle a progrd to add 5 nuurbe$ Nurbe8 aF slored beN een intemal RA-u 60h lo 6rih.Srore rheresult n R,& A (06 Nhrrt

!38L!r wlrh neat diagrmr, explain the iniernal archnectuLe ol805lb conpdemici!p.ocesor$ithinicrccoDrrollerc Crlculrle L\e 1nn. rcqumd lor 2 mach,nc cFlc insirucrion

i) l2MHz ii) ll0592Mllz

r. Erplxir loU.iving in$nchon\ mcnrioniig th addrcssingmode md byle sne.i) xcHDA.@rR0 ii) \1ovcA.a4A+DPTR iiil suBBA,t55hiv) DAA v) JBCbit.rel lil ORL C,100h

ExplaiiTMOD& TCO\ ftgrldB Rith ns bn patEmwhil arc intemrphl Spelil] vecbr locxion orinleflups in 8051.

l.l2

x \\,ith near diaeranr, explah the inlenal shlctore olPl.0. (0r N{rrlt,b. Wrnc a prog[m to rcaJ snch r sho*n belou Ilsrirch is closed. tum ON thc LED ehe

ium oFF rhe LlD (rs \brrt

Nirh nxedarhg dia{nn,N ea eelperfrororclo.kwise. {$rrrkt

a. Wrne lhe seps Equned b tinslcr dara scnally on 8051.t. wrile a progEm io send Y sonallyon 805l. Usebaudnleof240o bauds.c. Brieily show conlml $old o13255 & specit mode selection

.. Expiain rhe jntmal egisre4 ofMSP 410.b. Explain stalus regisleroaMSP 430

, r.t',iD difi(m':ddre{ins muJc.Jpp.r ed bJ vSPaa0b. Brielly explain the clock syslen ol MSP 410.

c. CeneEie square wave olstHz & 101d, o. Pl.2 & PI l. Continuously2 in hode 2 for lhe puDose.

r0Es42

U5N l0fs4l

Fourth Semester B.E. Degree Examination,Conlrol System

Dec.2014/Jan.20l5

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a

l;otet Ansvu an! FtvEfutl qws&,ni s.le.tinAdtun TWO qncstiow lro,, aach pa/t,

PAR'T ADn* the I v rhe FJ analoeous circnih for the mechanical sysen shown in Eig.Q.t(al wnhftcessary cquatioDs. (12^krn,

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f.r tlre rctdioDal me.hanEalric.Q.lk)

srstem shown draN the torque vohage

D tr\ rhe ! lnaluou g'rfh

Fie Q t(b)

LedKrion rechniqk nnd : tor Irs O.llat.

F's.Q.2G)for ihe bl..k dia{r,m \l.un in Fie Q.2(b) and lDd thcTF.

(03^brkn

lr'--\q\/I/ :'*r, \!tf\ "oi4;; itl";;;aV

l0ES43

Fis.Q.lO)

ras tho siAnal flow Farh and fiid rhe TF

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Fi.d ihe enorcoetlciems Ki. K, and & for rhe sysrem havins

cr.r= l0 .t rr.r=ot\ +)s+gFind (i so thar i = 0.35 Find the corespondnrg time domain specifications for

ri8.Q l(b)c. withrespect to a secon,i ord* system deli.e the tblnNrnc by dravina near response curve

and expresions i) Maxitrum ovqshoor (M)): ii) Timc delay (t!)r iii) Time c.nnant (T)iiv) Rh.fre (tr). (0t Ntlrt,

\Lhat are the necessart and $rfficlc.i co.ditions lbr a s,\,stcrn ro bc $able ac..rdrs roRourh-Hus zcriterionl (0,1M,rk,what value olK nakes the lblloqhs u.ity feedback sysrem $able?

c. Find hoN many ruols hare realpafis scalertban -lsr + ?"1+ 15. + 1s: o

tirr tft chara.rerisnc edmtidr

d, Hov nDny rooh ofde chancrerisrlc polynonial lie in rhe right hala.aol$plane,.d onjw !xn. Comnrenr on rhe stabihy olrhe sysreh.P^r =n+rJ -rJ +1.r+ "+,

i with respect to Nyquist citerion exp h in rhe lollowingi) EncncLemcntofapoint.ii) Anal)lic tunctior and ns snrgulaities.iil) Maapine theorem o. principle ofe-qnmenr.ia) lind rhe numbcr ofencnchmenh oaport A,n Fie Q.6l(a) and 6.1(b).

mgnirude conditions that a ponn on mot

for rhe unny feedback control systenI

(06m419shose open loop tianner

lll usrl,

l0ns4l

o. tor,.,e opel'oop rrora reedbd.t co1-or ,lrem cuHLr, K'l*2t ..",r(1+r0 +s+s )

lheconplcteNl,qunrpbtandhencefindrhennseofKfoistabilnyusingNyquisrrcrirdid

Draw the bode plot fora srsrm haling

^ K(l+0 2sr(t +0 025srt'tr=;(r. o o rt,ir +o,tlos,l

Commcnt on the stability ofrle system Aho ii.dFor ihe plot shown deremin. ihe Tt (Iig.Q 7(b).

the range ofK lor stabiliry.

3,1s

a. what aE rhe aduntases ofstate spa@ @lysh?b A sysicm is described by the diferentihl equation

wherc y is the output and urepresdtltion olthe syslem

c. OblaiD the state equations for rhe

n ihe nput b tbe synem. Deremse rhe

LI

Rltt

el

netwo& shom in Fig Q.8(c).

:\1. li,Fig.Q.8(c)

(rie.Q 7(b)

lourth Semester B.E. Degree Exaninarion, Dec.2'0?

5

Fundamentals of HDL

liote. Ahsuet FIVE ltl q ueiioh:, vtzttizgat least TWO qudnds Tront .a.h part.

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a!

a laplar lhc behavioEl and dataflotr style descdptio.s olVHDL. rvith the exanple oi anhalfadder (rolturk,

b. Compare vHDLand verilog (0.1ina*,c. lxplainslructuEofvHDlandr€rilo-gwitha.exanple. 106iusrk,

a W te VHDLcode lor 2x2 bns cohbinationalaraymxkiplicr(Dataflowsryledescriprion).(06 ivark,

b Listtlredah qpes used in VHDlrndre.ilog. (0,1\1srk,c. Wite a dataflo{ desoiptiob both VHDL and verilog, for a tull adder wiih active hieh

eiabl€Gn= l). (loit ark,

a. Dntlnguish beNeen iignll a$isnment and wiable asigDment sralsnents in VHDL. Also.rvrite vHDl progmin for behavioral dcscripiion or D latch usins sienal asisnment andvariab le ass ie trment statements, separxtely. (to)r3rk,

b Explain fonnah 011nrlo.pand\ehile loop srstemenh inbothVHDLandvcriloC, (06 irrarknc. Wnte VHDL.od.to calcularedre lactodalofposnnr inieges (04 \rxrk,

a write thc srrucxml description for tuIl addcr. using rro Lalfaddcm. {06 iurrktb. Explar bindiDg 6ctween trvo modules in leribs. (0,t Nt*k,c Wrne VHDL smduBl desciptioD oll-birs s]tctuonous up counler Lnns.IK maskr nalc. nip-nops. (loi[ k,

1

a Gile an exlmplecode loraprocedLrc anda tuncrion.b. wnte vH DL description ol a lulladder ri.gprocedure.c Write a vcrilog code for coNeting 0 naction binary to real usine lask

! whya mlxed r)pe desciption is needed? Wrire rhc VHDLcode ro lind laqest

b w.ne a note on packnges invHDl.c. wri.eVHDL code aortheaddllio. of 5x5 maricesusinga packagc

a Wnh . mixcd hoeuage description ofa tuIl adder, exptain the inloki|rg ofnonr a lerilog nrodulc.

b. wrne dre mixed laneuage descr ittio n oralK mstelslave flip-flof wnhclcar

a Nhat is mca.r by slnrhesisl List and expLain stepsi.volved in synrhesis.b wrne VEDL or loriloe c.de ftr dEsienallsisnmcni sraretoenr y = 2 r a 5

wirh one inFur a ol I bils and one o put y oa 4 bits. Show the mappnrgarsignmenr ro gare level

. Explanrcxhctionof syfthesis inaornario. frornanenrilv.

VHDI entity

USN l0EC46

Fourth Semester B-F,.

Lin6arDegree Eraminarion, Dec.201:r/Jan.20rslCs and Applications

\ntet Anst@ ur Fll/E fittt qtestiots, s.l.dntgatleasl TWO .lu.stio \ lron each putt.

PAR'T' . A

Define thc lollowing rcrnb as applied ro op ahp and mcnii.. rhen tlp,catyalues for IC?4lli)C\IRR; ii) Slew rarc: iii)PSRR; iv)l,rputofserloxage. (0s^Drl,Skct.h an op-aqr dned coul)led ditference amplilier cncu . EaplaiD the opcrarioi ot tlrcircui! and dcrire an equr ion for dre o urF ur votage. (orMerrJ)Desigra dirccr coupled non invening amplner ro amplift ll)l]tov sjgDatnsing lC74t to alevelof4 volts (0a }larln

:

,,

4ia:

=

Exr cncun dia$anr, e\planr cxpa. ito r coup led lolhge lblto\ er r tth rclclxnr derign

lxplain hos theuppcrcur.rl hequcDcy can be scr aorDcsi:n a upaciror coupled irledins aopLiner usbxsriD olTi outpu lolrag. anDlitude ol3 Vo16 md1l kflz. The lord r.skhn.e i(a7no

E\Dlain r4illeretle.tcoDpcnsation. ios 1l!ik.)L Lst r hc pEcaurions ro ire obsenrd 6rop-Amp nabihy. {06\r,rrtUsnB ,n LV108 Of Atup, design an ilvcring nnrthfiu ro amplify r loonv signal br airclori.Select irable r.equencrcompensarlon(h,,lr for LVIoB (2DA) (06rrrrk,

\\ir| neol .ncuit diacram and $alelim ar larious F.ints. cxpbnr dre working of highnrptrr iftledance tull rvak p,ecnion Ecritier. (l0r{!rk,ConpdE the pe.Jbrnance ola differenrhl inpurroutpul amplifiq with rhat ota diffeEnceanlrifier. (0a rhrk,Dcsi8n a prc.nion voltage sour.e ro set aD ourpul ol8.5V usins 741 oD A]nD. Thc suDDlyvollage nalsv and zenerdiodchasa roleunccolts% (06 tu*r9

PART B

\\'rtr neai .ncuit dirgmfl md laEtoms. c\alain the worki.g{areb, nr scnefld \vnh tequen.y xnd dtrrycyclc conrrot,\nh neat circun diasrae explaln basn bg amplifier lnd dernr

U$ng a 7.11 Or Amp *ntr a suppb olll2v, dergn a phase shitourp lrequencrollikHz.

(07Mrrktrlertineamplifies (07tr0rk,a IC71l. Op Amp to her. a \.hagea sienal ncquency range ol2oHz lo

(06 u,rq

Wnh Dcat cicun diaghn andinverting Schmn lrigg{ cncuit.Wnh nant cncun diagram and

$r!efom. explain the cncuit operation of

wateforms, explain ihe openlion ol Op

c Using a ?41 Op Amp, design a Ecord order acrlve ligh pas nher tor a cu

l0EC46

a. LGt &d explain the characlristics ofthree teftinlllC resulato4.b. Eallainthe principle ofswilching reerlator. Mention its ad!anragesc. D6iCn a voLtage Esulstor usins IC723 to gel voltaSe orpur of

a. Explain 555 timeras tuonosrable multivibrabrvnh relclanr cir.un diagmm,

b. With a neat di,gram, explain lhe working ot seighred rsistor DAC.c Drlr tl eblocl drasraTo Pl I ard e\p a 1r roo@r.on