midterm_solns

midterm_solns - Dr'purmnunl uf Fllrctriwfl 55 Cunthar...

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Unformatted text preview: Dr'purmnunl uf' Fllrctriwfl 55:. Cunthar- Engim-m'ing BET. 1329; Uniwrsity mf California. Santa Barbara Sumner 20H Shytali HI). .4516 Pu-TIITI‘E-Rfvi EXAM SQLU'HONS H’vrim'firln}; .1111}; 23'. 2'31le [ELEM] - 1:;5U p.111} IHS'l‘RUCTIONE-I 1. Thir‘ cream 1:;- opnn book and npen notes. '2. [I c-mmisqrg of Li 1‘11'rJl31r-1n5: i'LIH'l iv: wmth 2].. 11123x11llum of DU pu'm'rfl. TEN: IJE'Hlllt'rnr-L :u'o. 11-3-1 of (“113,1 difficulL-y. EU um diam-prion in r-Llim'afing your Thrm. _-'-"L]1.‘:§'-.‘.'l_'[' nll q‘.1[‘.F':iU112-j in an}: Ul'rerI'. H. Hlmw your mam-:15 in 111:4 H man»: H1115: ;L-:'.[1ll.iu11a'.1 Jam‘s TIl'Ol’irlLfd. Shqu vnnr rcasonin and . J .. u thu essential ate-p5 clearly and concisely. Last. Nume‘ First. Name: _ _ ]'IE.‘]-'. liflfl Sumnm Stllll 1. CMDS AND VEHILOG {3U points} Humile the“ f1 :‘11LTfi-jug i'LiJII‘Hnn: Jr [MM [11,1 l r_:-|. mcy LAB!) ['1‘ J {21) [Jan Hrmluem algnlin'u to reduce this Function Lo the: mintmitu] Hum-Uf—prucl11th furm. mad the“ 115m :1, Kurnmagl: “mp to minimize the fismrt'n :11. .' immune that c:unpimnuntmf inputs an; available-z far 13hr: following; . 'I . '- 3"“ IL [‘1 SELL-Lch :1 HAND i111 Jlelt1éar1r.:.LLim1 of 1mm result in pnrt. I'm". Show that. u. NOR i: __..__L___ ____ _ ~e' , 111131 FELI’IEJLLHH]. of 1:319 minimized in fiflllDlllH-Ll pl'ndltflt—Of—rnlms form has Inwrfir maru;flcxilz_1_.z |. . {a} Hlmtuh a, Ell-L053 itnplufimllhtiUll {3f j-uut' result in part Writar n, rzmduln in kin-ling whiny; gatn level primitiver to i111plcmL-nl, Hm ::i1'nuit. ."-' |-: -. Snlntinn: __, ........_ ... h ..,_ ...__._.._.. .. _,__,_..__-—.-_.. FN 1:.‘I #1— L- in P1; fiffl” I‘D ’1 ¢~dfi¥>d¥ 91" “#“L (fibfil'ii if a: {ii-2?; ij‘ Dr (K; BJCJDb); ECF. L335. Hunnmet' ‘2[311 i-If .‘E Jul-"L Hmunmt' Hill 2. L'IUL'l'Il-‘LE-OUTPUT UIHCUTT [3|] pointfi] {:1} Find the minimum :x'IJIIHTIJiI—Pl'l'ldLICt-F: [SUP] imph”neuraljun fur thr: Iona-ugly”; fum-t'lml 115i.ng H Kurnauigh |||i':'lIII ' ' fier H.013] imagun-ljfij, 11:12] [2;- Spucify {1] tin uquwa ufprimn implic-auts, (ii) the number ufnuumtlnl prime iuuflir‘mum mul {iii} tJu~ |.I.II[.£|.] CUBE {in terms <:-|' 1.hr_- mnnhcr uf Inuit; gatere; pluu 11w nunfihu- of "| Huh: inputs]. {NH nut Cuunt. ink-'m'lL'rH.) [h] 119me purt [u] 1': n- Hm Ella-wing Ht'[3|'r’l|'EL1.-L‘ fuurLinn: ya, 13‘. (:3 m = 3s: nun. 2. :a, 4.. 5. 1 L 12} [3;- {E] .'-‘i:~':—:11I11t~ now [.hut. wr~ _|;.:-1u'-1';1.te thn c+111puh< _.|" and 51' h}; :‘511eu'i_[_L_g THE“) ' Hui: 11}. HI-zferrll th rcuultmg 1T11l]1i]§|_]1'!---: :-nf,1'uu'. HOP r-ircuit. and Hyacify the Luna-1 maHl _{in terms of the number :15 1: :ng: gum: plus the maunhr-r uf gate. inpnthj. {Du Hm {taunt invurLers.) Solution: M FEETH 152.5. Hummer '2U11 a "AER-a EC» 63: again: + PM fl +T_'.f;:"?+r:f§ia.-D-Q 'pvirykg Elfin-i=3 13 .3 J a Clfi'r ‘ _ _._ _ «I 15." -- J - —_ a. ’a I I '- r :3 17-- .¢-‘-'* '” mat: r5 gm-Hv’fl’fi I' .1. III¥IJ‘L_.-F 45E 1%. _.§ fl?- rrlh -"‘ all. T" a...” w.- .m- l‘hp a" "' '-' “I. - "'" " CF)“ Egg gab + LD+~H=¢£F .—_ mac-+- BED-d- RBI; +6.4) - + - Elia-kiwi”? "* Ely 2.? 3":- -! 3" BED-'1 a * ". i’éa‘J-rEDi’ 9:4} " = w 1—...1 q-p-S‘LL} :. 'L III—q -' t "r q '1' 23 :3” E: 33 E2134 41* J - +1 3': ; 3 33"” ML w E] q -8 C *v' :3), "— I: . G 16‘ I? [TIE iii-"a HHIILHIEIT L’U'Jl 3. CUUNTER {3f} linit‘lffi) {Inna-ide thr: E'nilnwing 5tnte-trmmi'rit'1n c'lia.f_{xu.1n: /@‘“ n, #6) {a} Shuw this state t-l'aul'b'itiflu tflhlu Fur 1.]li-I‘ [nllowixlg Herquuntjifl state maignmmfl; f] —> [J{]{]_ 1 . [NH ? ‘2 —: 0m, 11 —r Ell ], 4 ~ lfll. The initial 514m! i5. UDU and thu 1131.5 £LI'E? Inhnjncl ABC]. .- lilf]. n,an {b} We want to implement thiH {'U1lrll.i-!|!' “Hing HH—rggpr: flip—Hops. Find 1?};_].‘a1'_i__‘:3'.f5l01155 for the inputs; 3,1: 51;} H 1;. Ha, Ho. and Sketch the {:i_r'::ui|. 11mm: L111ler ANDIUH. umnhinnlinnul logic tn connect the filp- Hug-1;. {c} 131an how grunt nirrnit i5 nmcliflvcl if .JH-Lype flip—Ilnps an: used instead. [Hint U0 not SHUT. [mgr wit-11 nuw tables: and magma; allow w11:.LL chzmgcs in your pt-evinun- rnfinItH and Hkptoh at”: new circuit.) Solution: 3a #1:. I - 5.1014 msr— 6+3? 19‘ Fe gaff; 55,24 2% EFL? '35.: woo {not ‘1'" ‘3'“ f M I o u .3 or a H <3 i “J m: can u H ole In} 1:: mi 5*:- 11 kl m. a“ a”, or. It, as} 01 in X1 15:: nag;- al M; 52%. A1 '31 a: NH 134;: m: 43f. :3} In GK x1 Hx “8 i1 35% H 13:. H _ :13: EOE. 1-533 Hummer 201] ...
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midterm_solns - Dr'purmnunl uf Fllrctriwfl 55 Cunthar...

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