Part - I 2011 August: 27. j Nkhfd; tpjpiag; gad;gLj;jp F(x,y) = ( x y) .( x y ) vDk; g+yf; Nfhitiar; RUf;Fk;NghJ fpilf;Fk; NgW gpd;tUtdtw;wpy; ahJ? 1) x
2) y
3) 0
4) 1
5) x.y
28. gpd;tUk; G+yf; Nfhitfspy; vJ jug;gl;l jUf;fr; Rw;iw tiff; Fwpf;fpd;wJ?
2012 August: 26. gpd;tUk; G+yf; Nfhitiar;
RUf;Fk; NghJ NgW ahjhf ,Uf;Fk;?
27. gpd;tUk; G+yf; Nfhitfspy; vJ jug;gl;Ls;s jUf;fr; Rw;wpd; (logic circuit) tUtpisit tiff;Fwpf;fpd;wJ?
2013 August: 1) (x + y). (x + z) vd;Dk; G+ypad; Nfhitapd; (Boolean express) RUf;fpa ngWkhdk; ………….. MFk; Nkw;Fwpj;j ntw;wplj;Jf;Fg; nghUj;jkhdJ gpd;tUtdw;Ws; vJ? 1) x
2) x.(y + z)
3) x.y.z
4) x + y.z
5) x + y + z
2) fPNo fhl;lg;gl;Ls;s Rw;wpd; tUtpisT (Q) tpidg; G+ypad; Nfhitapy; gpujpepjpj;Jtg;gLj;JtJ vJ? ,q;F A, B vd;gd cs;sPLfshFk;
9) fPNo fhl;lg;gl;Ls;s fhNdh (karnaugh) tiuglj;jpy; ehd;F G+ypad; khwpfshd a, b, c, d vd;gtw;wpd; G+ypad; njhopw;ghl;bidj; jtwhfg; gpujpepjpj;Jtg;gLj;Jk; mikg;G vJ? 1) 2) 3) 01 00 10 11 ab\cd ac\bd 01 00 10 11 ab\cd 01 00 11 10 01 01 01 00 00 00 10 10 11 11 11 10 4) ad\bc
5) 11 10 00 01
11 10 00 01
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ac\bd
00 10 11 01
00 10 11 01
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2014 August: 42. fPNoAs;s ju;f;fr; Rw;wpidf; fUJf.
NkNyAs;s Rw;wpd; vspjhf;fpa tbtj;ij tifFwpf;Fk; Rw;W gpd;tUtdtw;Ws; vJ?
43) fPNo jug;gl;Ls;s S1, S2, S3 kw;Wk; S4 vDk; ehd;F mOj;Jk; Mspfisf; nfhz;l Rw;wpidf; fUJf. ,e;j ehd;F MspfSk; tpLtpf;fg;gl;l (released) my;yJ mOj;jg;gl;l (pushed) vd;Dk; VjhtnjhU epiyapid kl;Lk; nfhz;L me;epiyfis KiwNa 0, 1 Mfpa ju;f;fg; ngWkhdq;fs; %yk; tiff;Fwpf;fpd;wd. (Fwpg;G: fPNo fhl;lg;gl;l Rw;wpy;, midj;J MspfSk; tpLtpf;fg;gl;l epiyapy; ju;f;fg; ngWkjp 0If; nfhz;L fhzg;gLfpd;wJ)
1) S1 + (S2.S3) + S4
2) (S1 + S2).(S3 + S4)
3) (S1.S2)+(S3. S4)
5) S2 + (S2.S4) + S3
4) S1.S4.(S2+ S4)
2011 Model: 37. gpd;tUk; cz;ik ml;ltizapid gpujpepjpj;Jtk; nra;Ak; ju;f;f $w;W A B Out Put 0 0 1 0 1 0 1 0 0 1 1 1 38. B.C(A+B.A) vDk; G+ypad; NfhitahdJ RUf;fg;gl;lhy;
2012 Model: 24. j-Nkhfdpd; tpjpf;fika gpd;tUk; G+ypad; ju;f;ff; Nfhitapd; tUtpisT ahJ? (1) 0
(2) 1
(3) X
(4) Y
(5) X.Y
25. jug;gl;Ls;s ju;f;fr;Rw;wpd; ju;f;ff; Nfhitahf miktJ
(1) A, B kl;Lk;
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(2) B,C kl;Lk;
(3) A, C kl;Lk
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(4) B,D kl;Lk;
(5) A, C, D kl;Lk;
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2013 Model: 14. ,t; G+ypad; Nfhitapd; RUf;fg;gl;l G+ypad; R+j;jpuk;.
22. ,t; R+j;jpuj;jpid b Nkhfd; tpjpapidg; gad;gLj;jp RUf;fpdhy; 1) 0
2) 1
3) A
4) B
5) A.B
35. gpd;tUk; fUdh]; tiuglj;ijf; fUJf.
37. glj;jp;w; fhl;lg;gl;l G+ypad; juf;fr; Rw;wpd;; ntspaPL F ,id gpujpepjpj;Jtk; nra;Ak; rupahd G+ypad; Nfhitfs; ahit.
1). A, B khj;jpuk;
2) A, C khj;jpuk;
3) B, C khj;jpuk; 4) B, D khj;jpuk;
5) A, C, D khj;jpuk;
Part - II 2011 August: 1. d) Xu; ,yf;fr; Rw;W (Digital circuit) mjd; cs;sPlhf ehd;F Jtpj ,yf;fq;fis vLj;J ehd;F Jtpj ,yf;fq;fshYk; tiff;Fwpf;fg;Lk; jrkg; ngWkhdk; xU Kjd;ik vz;zhf (Prime number) ,Uf;Fnkdpd; (1 ,dhYk; mNj vz;zpdhy; khj;jpuk; tFf;fg;gLk; vz;fSk;), tUtpisthf 1 fpilf;Fk; mNj Ntis kw;iwa vy;yhr; re;ju;g;gq;fspYk; 0 fpilf;Fk;. vy;yh ehd;F Jtpj ,yf;fq;fSk; Neu; jrkg; ngWkhdq;fis tiff;Fwpf;fpd;wdntdf; nfhs;f (Fwpf;fhfg; gpw;W vJTk; xJf;fg;gLtjpy;iy) i) Nkw;Fwpj;j Rw;iw tpgu;g;gjw;F fPNo fhl;lg;gl;Ls;s nka;epiy ml;ltiz (truth table) tbtikf;fg;gl;Ls;sJ. ,q;F A, B, C, D Mfpad kpfTk; kjpg;GW gpw;wpypUe;J Fiwj;J kjp;g;GW gpw;W tiuf;Fk; ehd;F Jtpj cs;sPLfis tiff;Fwpf;fpd;wd mNj Ntis F(A, B, C, D) Rw;wpd; tUtpisit (output) tiff;Fwpf;fpdwJ. gpd;tUk; nka;epiy ml;ltizia mt;thNw gpujp nra;J tUtpisT epuiyg; G+uzg;Lj;Jf. A B C D F(A, B, C, D) 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1
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ii) Nkw;Fwpj;j Rw;wpd; jUf;fr; nraiyg; ngUf;fq;fspd; $l;Lj;njhif (sum of products) tbtj;jpy; tif;Fwpg;gjw;F xU G+yf; Nfhitia vOJf. iii) NkNy (ii) ePu; ngw;w G+yf; Nfhitf;fhd jUf;fr; Rw;iw tbtikf;Ff. 2012 August: 1. b) Xu; miwapy; cs;s xU tprpwp njhopw;gL epiyapy; (on – 1) my;yJ njhopw;glh epiyapy; (off - 0) ,Uf;fyhk;. gpd;tUk; epge;jidfSld;/ njhopw;ghLfSld; tprpwpiaj; jpwikafj; njhopw;gLj;Jtjw;F xU fl;Lg;ghl;L Kiwik Njitg;gLfpd;wJ. 1. tprpwpiaf; ifapdhy; (Manually) Msp njhlf;fyhk; my;yJ Msp mWf;fyhk; 2. fbif (timer) njhopw;gLk; epiyapy; my;yJ njhopw;glh epiyapy; ,Uf;fyhk; 3. Rw;whly; Fspu;r;rpahfth, ntg;gkhfth ,Uf;fpd;wJ vd;gij Gydp (sensors) czUk; 4. fbif njhopw;gLk; epiyapy; ,Ug;gNjhL Gydp Rw;whly; ntg;gkhf ,Ug;gijf; fhl;Lk;NghJ tprpwp jd;dpaf;fKiwapy; Msp njhlf;fg;gLk; gpd;tUk; ml;ltiz Nkw;Fwpj;j epge;jidfSf;F/njhopw;gLfSf;Fg; G+yg; ngWkhdq;fis xJf;Ffpd;wJ. G+yg; ngWkhdk; epge;jid/njhopw;ghL tprpwp ifahl;rp Kiwapy; Msp njhlf;fg;gLfpd;wJ 0 tprpwp ifahl;rp Kiwapy; Msp mWf;fg;gLfpd;wJ 0 fbif njhopw;gLk; epiyapy; cs;sJ 1 fbif njhopw;glh epiyapy; cs;sJ 0 Gydp Fspu;r;rpahd Rw;whliy czu;fpd;wJ 1 Gydp ntg;gkhd Rw;whliy czu;fpd;wJ 0 i) Nkw;Fwpj;j fl;Lg;ghl;L Kiwia eilKiwg;gLj;Jtjw;F AND, OR, NOT gliyfs; khj;jpuk; ,lk;ngWk; xU Nru;khdj;ijg; gad;gLj;jp xU jUf;fr; Rw;iw tiuf. ii) Nkw;Fwpj;j Kiwikapd; njhopw;ghl;il tiff;Fwpg;jw;F xU nka;epiy ml;ltizia mikf;f. iii. NkNy b) (ii) ,y; nka;epiy ml;ltizia tifFwpg;gjw;F (RUf;fhj) xU G+yf; Nfhitia vOJf 2013 August: 1. a) xU jP vr;rupf;if (fire alarm) KiwikahdJ Gif, jPr;Rthiy, ntg;gk; vd;gtw;iw czu;tjw;fhf KiwNa S1, S2, S3 Mfpa %d;W Gydpfisf; (sensor) nfhz;Ls;sJ. xU Gydp MdJ nraY}f;fKs;sepiy (active) (ju;f;fg; ngWkhdk; 1 I mDg;Gk;) my;yJ nraY}f;fkw;wepiy (inactive) (ju;f;fg; ngWkhdk; 0 I mDg;Gk;) Mfpa ,U epiyikfisf; nfhz;bUf;Fk;. Fiwe;jgl;rk; VjhtJ ,uz;L Gydpfs; nraY}f;fkilAk;NghJ ,j; jP vr;rupf;if Kiwik jhdhfNt nghwpjpapL;k; (trigger) i) NkNy Fwpg;gpl;l jP vr;rupf;if Kiwikapd; njhopw;ghl;bd; tifFwpf;Fk; cz;ik ml;ltizia tbtikf;f. ii) Nkw;Fwpj;j cz;ik ml;ltizia tiff;Fwpf;Fk; G+ypad; Nfhitapidg; (Boolean Expression) ngWf b) fPNo fhl;lg;gl;Ls;s ju;f;fr; Rw;wpidf; fUj;jpw; nfhz;L gpupT (i), (ii) ,w;F tpil vOJf.
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i) G+ypad; ,aw;fzpjj;ijg; (Boolean algebra) gad;gLj;jp NkNy jug;gl;l ju;f;fr; Rw;wpw;fhd G+ypad; Nfhitia vOjpr; RUf;Ff. RUf;Ftjw;Fg; gad;gLj;jpa ml;rufzpj newpfisAk; vy;yhr; nra;iffspYk; fhl;Lf. ii) NkNy b(i) ,y; RUf;fpg; ngwg;gl;l G+ypad; Nfhitf;Fupa ju;f;fr; Rw;wpid AND, OR, NOT Mfpa ju;f;f thapy;fis khj;jpuk; gad;gLj;jp mikf;Ff. 2014 August: 1. %d;W czu;tpfisg; (detectors) ghtpj;J gyte;jkhf cs; Eiotij (break-ins) ,dq;fhz;gjw;F Vw;w tifapy; myhu Kiwiknahd;W tbtikf;fg;gl;Ls;sJ. mitahtd: ryd czu;tp, fz;zhbia cilf;Fk;NghJ czUk; czu;tp, ,Ul;lbg;gpid czUk; czu;tp vd;gdtgFk;. ,t;Tzu;tp nraYf;fKs;s epiy (ju;f;fg; ngWkhdk; 1 I mDg;Gk;) my;yJ nraY}f;fkw;w epiy (juf;fg;ngWkhdk; 0 I mDg;Gk;) Mfpa ,U epiyfisf; nfhz;bUf;Fk;. ,k;Kiwik gyte;jkhf cs;Eiotij RahjPdkhf ,dq;fz;L nghwpjpapLtJ (trigger) (ju;f;fg; ngWkhdk; 1 Ig; mDg;GtJ) %d;W czu;tpfSk; xUq;Nf nraY}f;fkilAk;NghJ my;yJ ,Ul;lbg;G czu;tpAld; Vida ,U czu;tpfspy; VNjDk; xd;W ,aq;Fk; NghJ kl;LkhFk;. a) Nkw;Fwpj;j myhu Kiwikapd; njhopw;ghl;il tiff;Fwpf;Fk; cz;ik ml;ltizia tbtikf;f b) i) NkNy a) ,y; tbtikj;j cz;ik ml;ltizia tiff;Fwpf;Fk; g+ypad; Nfhitiag; ngWf. ii) gFjp b) i) ,y; ngwg;gl;l G+ypad; Nfhitia G+ypad; ,aw;fzpjj;ijg; ghtpj;Jr; RUf;Ff. ,r;RUf;fYf;Fg; gad;gLj;jpa midj;J nra;iffisAk; G+ypad; mlrufzpj tpjpfisAk; njspthff; fhl;Lf iii) gFjp b (ii) ,y; vspjhf;fpg; ngw;w G+ypad; Nfhitf;Fupa ju;f;fr; Rw;iw fl;likf;f c) ,t; myhu Kiwikapy; myhuk; nghwpjpapLtJ rk;ge;jkhfg; gFg;gha;T nra;jjpypUe;J njupatUtJ ahnjdpy; ,t;thW gyte;jkhf cs;Eioa Kay;tJ ,Ul;lbg;G Neuq;fspy; kl;Lk; vd Kd;id rk;gtq;fspypUe;J ntspg;gLfpwJ. cq;fs; $w;wpid ePq;fs; Vw;Wf; nfhs;fpwPu;fsh? cq;fs; tpilia epahag;gLj;Jf. 2011 Model: 1. a) gpd;tUk; G+ypad; Nfhitapid cz;ik ml;ltizapidg; gad;gLj;jp RUf;Ff. A.(B+C) = A.B+A.C b) ju;f;fr; Rw;W tiuglk; xd;W fPNo jug;gl;Ls;sJ mjidg; gad;gLj;jp gFjp i, ii, iii fspy; cs;s Nfs;tpfSf;F tpilaspf;Ff.
i. Nkw;jug;gl;l ju;f;fr; Rw;wpd; ntspaPl;lhf (F) tuj;jf;f G+ypad; Nfhitapidj; jUf. ii. ntspaPlhfpa F ,id epak $l;Lj;njhiffspd; ngUf;fkhf (SOP) khw;Wf iii. ii y; ngw;Wf; nfhz;l njhifapid ngUf;fq;fspd; $l;Lj;njhifahf khw;Wf (POS) c) gpd;tUk; G+ypad; $w;Wf;fis fu;dh nkg;igg; gad;gLj;jp RUf;Ff.
2013 Model: 1) b) xU tpkhdj;jpd; juf; fl;Lg;ghl;il Nkk;gLj;Jtjw;fhf gpd;tUk; czu;tpfs; mjpy; nghUj;jg;gl;Ls;sd. ,t;Tzu;tpfshdJ ,ae;jpuj;jpd; ntg;gepiy, kw;Wk; mOj;jk;, kw;Wk; mjd; tprpwpapd; Row;rp Ntfk; vd;gtw;wpw;fhFk;. gpd;tUk; mgha kl;lq;fspd; NghJ tpkhdpapd; miwapy; cs;s mgha rkpq;iQ kpd;FkpohdJ vupAk;. ntg;gepiyahdJ 400 nry;rparpw;F mjpfkhFk; NghJ mj;Jld; mKf;fkhdJ 1.5Mpa tpl mjpfkhf ,Ue;;jhy; my;yJ mjd; tprpwpapd; Row;rp NtfkhdJ 4000 tpl Fiwthf ,Ue;jhy; tpkhdpapd; miwapy; cs;s kpd;FkpohdJ vupAk;. gpd;tUk; mgha epyikfspy; czu;tpfs; ,af;f epiyf;F tUk;. 1. ntg;gepiy 400 nry;rpapid tpl mjpfkhf ,Ue;jhy; czu;tp ‘A’ MdJ ,af;f epiyf;F(ON) tUk; 2. cs;sf mKf;fkhdJ 1.5Mpa apid tpl mjpfkhf ,Ue;jhy; czu;tp ‘B’ MdJ ,af;f epiyf;F tUk; 3. tprpwpapd; Row;rp NtfkhdJ 4000 apid tpl Fiwthf ,Ue;jhy; czu;tp ‘C’ MdJ ,af;f epiyf;F tUk; i) AND, OR, NOT ju;f;fg;gliyfis khj;jpuk; ,izg;gjd; %yk; NkYs;s fl;Lg;ghl;L Kiwikapf;fhd ju;f;fr; Rw;wpid tbtikf;Ff.
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ii) NkYs;s epyikfspid ntspg;gLj;jj; jf;f cz;ik ml;ltizapid tbtikf;Ff. iii) NkYs;s cz;ik ml;ltizapid gpujpepjpj;Jtk; nra;aj;jf;f G+ypad; Nfhitapid jUf. iv) G+ypad; tpjp my;yJ fu;zh mapapidg; gad;gLj;jp NkNy cs;s G+ypad; Nfhitapid RUf;Ff 2012 Model: 1) c) fPo; fhzg;gLk; ju;f;fr;Rw;wpid mbg;gilahff; nfhz;L gpd;tUk; tpdhf;fSf;F tpilaspf;Ff
i) Nkw;fhl;lg;gl;Ls;s ju;f;fr;Rw;wpy; midj;J AND Eiothapy;fspdJk; tUtpisT 1 vdf; fUjp cz;ik ml;ltizia tbtikf;Ff ii) cz;ik ml;ltizapd; gb ju;f;fr;Rw;wpd; tUtpistpid fhl;Ltjw;fhd ju;f;ff; Nfhitapid vOJf. iii) NkNy (ii) ,y; ck;khy; jug;gl;l ju;f;ff; Nfhitapid, G+ypad; (boolean) ml;ruf;fzpjk; %yk; my;yJ fhu;dh ml;ltiz (k-map) %yk; RUf;Ff. iv. NkNy (ii) ,y; ngwg;gl;l ju;f;ff; Nfhitapid $l;Lj; njhiffspd ngUf;fkhf (POS) khw;Wf v. NkNy %d;wpy; RUf;fpg; ngw;Wf;nfhs;sg;;gl;l ju;f;ff; Nfhitf;fhd ju;f;fr;Rw;wpid tiuf
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