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Practice Test 4

# Practice Test 4 - 1-1 N31113{16 points Logic circuit...

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Unformatted text preview: 1. -1- N31113:- {16 points] Logic circuit. emalysis. Work parts a. 35 b. aepamtely. a. {8 points} Write the simplest sum of products expremiegfer the funetien_f{a1b1e,d) implemented by the gate netgrggk shewn here: ' - . FF ___ﬂ__ ,1 'L(0~’c\>vC0~Ia' r ;: LCCLK if.) r 1‘: __ ________— -—-._.______._.—-=-"' V:"";—T~‘" “a it; If __l| a?“ I: Viki.” L, :_ dd— ILL—M _._I II F_ -— [57—33 56*?" “C “we: r: in r ’f, 1'51. Fir- -, [(ggﬁp (aw; if W b' [S Paints} In units of gate dab“? T What is the IT—Ief the'a-Eair'efeh—nm pro—duced at the enhput 0f gate 11 assuming this ring Damnamr hag been StartEd blrr hﬂldiﬂg at legit: zero the input to gate 1 for E: gate delays prior to time [1? Also} what is the fremzenejrr of oscillation in MHZ if 1' = Iﬂﬂ5.? — ,I g1 g2 g3 qd g5 + >1 >1: >l }' >- Time in units of gate delay _———- '5' 1 2 3 4 5 6 'i‘ 3 91E1112131415161113192ﬂ2122232425262723293031 2. 3. {10 points) -2- Mama. [8 points] Iinplom here using the 3rto~ii docodcr shown and a rniniins, a b c f g (1 ii i] 1 III! p "I {i i} 1 E} El 1 i1 1 [II | 1. E} i {i 1 'l [i] l c [r 1 0 ﬂ ﬂ {1 b ‘i 1 El 1 ﬂ 1 a C 1 1 1 1:1 1 1 13- 1 1 1. .1 1 - a __ .t "\ ET" - Kiri— 1" _ _ x l' Jill. -[ -_ I h. L- _- II/g’ T x If- k U“ _. -— II' In) Fl I. ‘11.“ r. - rl' {Cities-Li 53’" V's' ‘fﬂ J Lr LIA “I I. I Using a 4 to l multiplexer and some dditionsl logic ti o foil wing circuit. {i.c._. logic Implement? Express your ‘1 has bccn obtained. What switching function does this i function by circling the block diagram 11g tho [decimal shorthand} mintcrms included in thc answer by specifi'i apprﬂpriate decimal numbers on tbs following list. tit” ”” f - g; f— rarri ii? =1 5» s 11 111 1s 13 iii/1 1o niaci 1.111 I - A '- ‘I u | I: CIE'I I'llﬂ Ir '- I I \I .- - II '5': l' I I (I'I'. _. ' - C". l 'iq-dL-ﬁﬂrg/‘l F E h'.’.F"- III_"_'1‘b r-ﬁ-I—I‘IN __ l...— I .51:- -"' II __ C . 13=Ltnir b+a atar~w ' 101': 10¢L PHI: I[LU-III -3- Names. 4_ [15 paints} Consider the synchronous counter whose logic block diagram is shown below, consisting of three negative edge—triggered flip—ﬂops. Assuming it. is initialized to [Hill prior to the ﬁrst count pulse1 determine the connting sequence and then [neatly] draw its state diagram [with as few crossing lines as possible}. Count Pulses a. {a points] Complete the next state portions ot' the following state transition [or system design truth] table for the above logic circuit. _ 011.51., («3103) Q£t+1i : <12 i311 ﬁle {12 E11 " e ’73 T '17 it D U D ' o i .3 .1_ 1 '. |“f.- __ II I [j 1 1 I C' i .ll 1- l? c- 5 ~ 1 1 U 1 II [I U 1 I I 1 1 U c c- o 'o I. C- e. I "‘ I 1 1 1 | L” I | 'l D G b. [6 points] Draw and correctly label the state diagram that describes the operation of the above logic circuit. {12 qlqo c, [3 points} Is this counter self-correcting? [Yes or No} “316 9 /' -4. N31113:. 5, {213 points} Consider the synchronous sequential circuit whoss logic block udiagram is shown below1 consisting of {me SE master‘slave ﬂip-ﬂop in which state variable qa is stored and one master—slave J K ﬂip~ﬂop in which state variable qt. is stored. The input 3-: is a synchronised level Signal and the output is v. clock _. (area; a. [4 points) Is this a Meals machine or a Moore machine? (Encircle correct answer.) MOORE b, {9 points} Complete the next state and output portions of the following state transition (or system design truth) table for the shove logic circuit. g are as) o£t+1)| | l {_ ._ —* Ehi‘yarqbii X [is (it: {la (11} Fit) KI : Elam x weir—51"; \Illl'; :—i-}ﬁtﬁiqi1 n. {T points} Draw and correctly lahel (ii-reluclin‘tz,r inputs and outputs] the state diagram that describes the operation of the above logic circuit. ___..z; ___ __ _ -5- Name; ﬁr {2:3 points] Design a. symchronous sequential system using a. minimal number 5? tum-input HAND gates. and clocked JK Inﬂater-slave ﬂip—ﬂops to implement the assigned state table shown below. The input x is a synchronizied level signal available in unuumplementcd form only: and the states. are amended bv State val—13.13135 qaqb. Be sure to specify the ﬁnal EKPI‘ESSiUDS far Ja, Km J 1,, Kb, and draw the ﬁnal ltigic block diagram. (Note: the symbol 95 repreaanta a don’t care.) iii”: “Eh ﬁll CDC: I—IC'F—‘Di-lQJ—l': H. HHF—‘I—‘D 6» O... p... ‘1' Hit—IQ 9-! 1_|. Cl Jar __ C] I—‘HDCII—lF-‘CDG |_l. “5a : x (h Lia ’- Cim'cib x: d 9.. -?{ qt: Ck I {I 'l 4:)— Name: \$1 [11 points) For the function whose truth table is shown below write the complement-free ring sum ﬂip—3551011. Recall that. \$2311 at; = 9:1 EBJL'QEB. . .\$ 3n denotes repeated (not;lusi‘mta—ICJ'RJngT and that the general form of the complement-free ring Bum expansion for f [321, \$21 . . . ,wn) is given by the following expression whore £1;- E' {DJ} and the onlyr operations are exclusivevDR, {\$) and AND saw—1 fi\$L:32?---,wnj=\$z bI-3i11332. 310:0 and for this case only the following notation is used: = { in E é 33,- = re Answer: f{x1,x ,X3} = ...
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