Sample final and solutions

# Sample final and solutions - 59mm F/NHL EﬁﬂLLJTxaxuj...

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Unformatted text preview: 59mm: F/NHL EﬁﬂLLJTxaxuj ECE 25] Au 2% FWAL EXAM {closed book, 4-single sided pagﬁ ufnutea allowed) 1. Convert ﬁle BCD number given below to octal and hexadecimal: ﬁlll 111111 ”010.011! ﬂlﬂl (5PT.!) '7 612+?5‘ 5m. IJGGgricocafﬁ' WNWH _7E; 55" 1 Li 3 C" " E 3!." I L. 1’8 Ff Tia llODEJI‘.{EJEp.-Jf:lu .51 : __ w ’3: ' 1 ’ “Ea” ~ L Answer: _ Octal I H '3 O. (a Haxadacmal 3 I E3 x g; 2. Add (8A)lﬁand{9?)lﬁ wiﬂmut converﬁngtodecimal: (Spa) \$53 HQ =9? 7 3. Comma-the ﬁmction f together withﬂm dun’t care conciitiﬂns d: f (w,x,5r,z)= E m(ﬂ,3,4,ﬁ,?,9) , d (w,x,y,z)= E inﬁll] 1,12,13,14,] 5) r-rvva: halal _[{j"?:‘ if!“ HI} a) Identify the aim ' Prime Implicimts. (13pm) 6593011 Elk In} Find a minimal smu-of-prodmts expression. (5 pm) 1t; bﬁgi +32 +102 4r? 5. 4. Cunsider the circuit given below. {a}W1-iteequaﬁonsforthe outputs admsdljd: and 5d; hitermsufﬂminpmﬁﬁ, Kn, 1m, x], 5'1. :1, 3r; x3, y; antic], a: nude; (19pm) My: xn 9 1 chngE95 5133-1: 33: G? L lift-E321} EFL-ll Evil, :..- :11 {'1} £31999 C2 ”*3: “'5 a: 133mm 63 (h) Writﬁ equaﬁonsform, :2, maximum circuit do? (19pm Cr": {1‘0- L_L]u SIS} + mica Jr {ch Elia-Jr S. ,{H;\$S3+-1rcr4{{fl&33\)rcr C L: X: jKj-H23leﬂ ﬂmﬂjiyzgrfg ﬁrsri Thrs mm; mm; 2 mimmmmm by {md’uﬁﬁ Hie Subﬁ‘aah' (113291.“ "3‘: nil-Ha 51:] {‘3 5‘3 :r 9:5 Him-”Magi”; (if 333281;ij [ 6:! 3-3: C10 :4! J mﬂméx Fiaxyusa 1%. E’ Limphixramkd j 3 (c) Calculaie the 01¢th value (5d; 5‘12, deSdu} for the input values: 33.X2.K1.x0= [1111 Y3.Y2,FLY0= ﬂlﬂl forbaﬂ13=ﬂ and S=1. (m pats.) <5 ID S: 1| {Diff mgpjill',-JI9:G II] Lg JD || " " " L- I: 0 :I U-"‘*..___ 3-; I! GTE—é- gig-1w ' _ ‘5 king" (3? iﬁﬁrrg 5. a}Const1-uctthe state diagram fora Mealymnchine with one input X and one output Z, whose output Z is l (coincident with the last {II in the input sequence) whenever the input sequence Itllllll is reeeived. (10pm) V3 SE?" It’ll-1"”: SI ; | NM 52 ID 0/0 2" Hit} r';"1.t H'Cfp' limit“ [1) Consmtct the state table for the state diagram you constructed in La). (10pm) ”1'91:th Klein w : {3, Jt t _. _ i——-v-—— -— | .__" u'ﬂ in a' D " 5.x] I ll- 3] C 'r ’3' _-—‘r ’3 .-4 f -" a. if U "’ .- r. : p 3 r"" 2' O 1‘1]; D f 5‘ all] 34': ,r I JIJ D c) How many flip-ﬂops would you need to implement this sequential machine? Show thestatetable with binary codes assigned to the state:- (5 pm) '3 T7154: pm 5" ___§'?_!’h.’19 in U Ii“? (93W 90 VILL- {j W t. L: c e ascr'jnn-Wf“ a? L" 31:] ‘3 c r m a H5 9' H 63 If. ti. You are to: design a counter, using J—K ﬂip-ﬂops, that wants in the following sequenee: t} 42—2-4 4’6 --:=-t} ._ a) Construct the state table and determine the values for J, K inputs of the ﬂip-ﬂops. (MPH) b} Derive the equations for the ﬂip-ﬂap inputs. {13pm} III-III} 'if} i M “—13 'II— T": D. " sz JD: 0 (1 I ﬁt 0 I \K I.l y!- i ' a.” GD . __ _, r". f . f_‘“'{\~| I _ _ . Till—I. KU— - {0 I???” | I. 5; J -'. x“ a """ee 4%” ' *4 _.i q :I‘L i J k .9 , it i IL- | ...
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