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Final 1

# Final 1 - {ll/1 “54“*f" K“ 47 r 5\‘ J a l ﬂ'1...

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Unformatted text preview: {ll/1 “54“ *f--:-" K“ 47 r 5. \‘ J a l /' '. ﬂ '1 x/‘V/J -1 a “‘H'Lt‘r—g wt.“ - / . ‘ H I / i g; ﬁg (04// r l. (3 points) Memory locations pd Y in .t LS-hi‘, 2’s :Jmsionienl routine contnm the following bit <\ patterns shown in hendednnl ghorthznd: . - ‘ I. ‘5/ ' ’—-—- _\ ‘ ,' ‘ '\ . \ . ‘ _ I _ , . ,x / .(x) = cam (y) = 45113 \ 0A a (I . ' . . “A” ‘1; "" Perform the 2‘: complement u'ptrxtion Z = X - l" on the ﬁxed-point integers, 1nd express \“R‘ ‘3‘ your :mrwer 1.: a 4-digit hennoecmnl number. . ,3 .5- u S. - / 3 3- £3 : ., \/_/, l< . zone/51:: ""-"' . .L". x ,, . / A ‘_ 'I 1 ' ‘ . .. C *3 o h %§__E..%— \ r V f ‘ i Q Q r .3 - / ’9 2’ j / ___..._————--~ ,/ \ \J ' ANSWER: -‘ . I 2. (10 points) Memory locations I and Y in a. mzchine with on 13-bit word length that represents signed integers and due: arithmetic in 1's comniement contain the following bit patterns (shown in oetzl shorthand): Jo, la! -1«. In . (X) = (5)3777 (Y) = @2351 Viewing the contents of X md Y n ﬁxed-point integers, perform the {clicking indicated 1‘: corn- plement integer ﬁxed‘point arithmetic operations; indicating (yes or no) for each whether magnitude “ j ( overﬂow (Ouﬂ?) has occurred. Express your Answers In bdigirctai numbenl - ’1 A) 7 I < 9 i / 1 I / I L l 5 t 3 w t; v; t 7 7?— . 5 g :3 7 an 4 423 5 1 . . , 7) \ ‘ 1 a} 000/50 U4135W .\.\\%77 L - 4i ‘ ...——-—-—-—————— k 4/ b ;~ \ \ ' I 1 Z 3 5- O 'P a __':_:_———'—'-‘ Ooél3/ , I.” (/ ’L'I y’ Z=X+Y=' 0043,55 Ouf17X€5 .‘h , E 7 55/25 i“ ‘ “ \‘wl I "x i ’ / it’d]? A “v _ w, r A »—.-a...;.. “A; 31" “Hz-:56 3.11..»«4: LIFT.“ ‘Nﬁcs: Logic ,3 Shown - - a .1- ﬂy. ; - "‘- . _ w, muszszzng ofcnc m:-gi_;v: 3.: Mfr-Mr 4'1 WnQnSat: varme q‘ is stand and . m . I , 1-: . . . ' ‘ ‘ . V . - ' ., ' ' . ‘ , , c magmch I‘ ﬂip-Hep, :1 wine}: mm “3351‘- Qb mam Tu: mpu: 32 LS a syncam— m‘ud'xcvcz' Signal, and the dmpm is’Y. ' i ' - i a. (9 Ins) Ccmplctc th: next sum .md aux-gut pct -9175 of {he (allowing sun: msiticn (or war: truth) “able 5:: L5: 3'30". ’33:: :2:an Cat} 1:. ( 5 pa) Draw and ecu-x97 1:22;! the 3.1:: L‘ml 2h: operation cf the , .3 / ...__;...; .uc 3:331 :r' a :‘mzhrcncu 3:416”: 17531:“ :54“ 30c: 3?ch the: 3Q 3094 m: 0;, Lo. 1: and :31: 2‘31: gmd"."ZT‘-i?—"i :mi 3331 'mput X - 1. Ifinrm x - 0. , 7:va hm manna: to scum upcn the was?“ m“ Warming chick 3';ch bcxcw). Us: docked IX mash“ ~194qu and an absciutcly mmm’nh- wring“! NANU and/cf HQUSI-VECR 331:5 =0 mlcfmm tf}: mmod sum tabla Show: /'foll'ovrlng Wrist: ublc; X ‘5 n sjmdrqmzzd arr/cl nml available in unccrnpic- ad :‘crm cnly, and the: 3:: 3c cutputs :xhz: thank: mar? 51312311 Of the: Sin-flees L‘zcrr'sci‘lz. gm :0 specify me and men: fcr Ia , K4. 1%. and K5 and draw the 5531 15;»; block momma: because '31: input is X w}: vs: the Sjrmbci ‘ d. in 3mm 5C“? cars-J Q(t+.l) ' ' 3 ‘ ‘ l ' l ,MWW" ‘n 5; " ’0 _ ,_ M __ _: .. . _ —-- ‘ "‘ / ' "—c‘y ’o-vAr-Q'N 'x 3%.!1 ‘ - . , - , . ‘13) A; :_. .2. -44 “9.145 paged -1: .ayowmg E’LA. inpicmcmaucn ox mum-m hrs f‘ and 3. What :wngiupg Summon; FLA hgplcmcm? 8 your answer @77ng \$3: (warm sncnhmd) Human: included in cash ﬁmcdcn ii i E 9. (5 as) In me logic Show saw each 331-. has unity ﬁrogagadcn delay 6:", gm). L X-(r) - 0 andY(t) - 0 forall'tjo,mdthc inpursfort>0mshm skzzch Lhcwavcfcmnsaz _ poms A and 8.x ' / ‘ ' V i {5, ‘becéa '\ J. V], / m ms BLANKS) ‘ ‘ . Given Kay‘sva 1- 20.1513. 1:; + 2:91;}; 14) (When 2., indium: "dcn'i re H5: or 3-11 mm waging-hams fcr m: “1.5.2.713 runsz f(;5,;d) is? , O H ,‘ , . .’ h l‘ . I ,7 (j (“N rm‘ ‘ M _/_,L. my «RXRAWIVEEWU. 14m 'lﬁw‘m, V» “W” I ( \ \u vwmmﬁhﬁzu , < 733v: :rriziiz‘. funich ind gxzh 'izu .'_¢_J-, 43:22"; - ? 3 f4 / x n F "‘ 'I‘gi; Viz—£23" 'L \ ( ._ a”? = \ (MM : a Wile the simplest sun ofﬁmducu captu- be output I of the gut: network shown: I 55"- d/brm’m lc:":,(CL'/+dl)5 ' _ .- ‘ ‘-. '--5‘- (a/+dl)c Eff-5 +(ch):§ a. " ' ' '5 “ 5+ d’b #E’c ﬁ’g‘ - ‘\ {<1 Writ: I correct Boolan exprcﬁon for 1 3 <3fo Ht pfdcmdgsbowm ? ad (5&3 ﬂ 9_ Q" [\ 4. p (I) 0 . .__ __——_~._w__“n“_-a_._-‘ A w-v—W‘ ' - m1 ....__.__.__ __. ,__. For the Jet of mulliplroutpu‘. switching function: )iﬁose prime impﬁcm: mini: is shown LL, prime unPUmL has the (input) :23: af its 313211.“: indicated in the ‘ 43pm (can) set {uf‘xum of product: expressions f0 t_his w. of functions. 5:37-25; anch n “'3 mm of the approp'ria'fuly chose: gruduc‘. tam Pd?! impﬁunu A. 3 F 7 ' ,.,v. ,o- ' ..1A ' . 1151:. Find A _ . i ' ' ‘ {1 I j l I . f: - I I LZIFh‘ : ‘ ‘ l . I ' lcu‘: ‘}.:‘i/;){IJ u1L2«---=.'as7"-"‘m"'“="' ' B ;C:a!| I‘f';5""|‘ ;_ D Fqﬁggp—nmI-l-l- : 3 i F ‘ : 7 ‘ I c \ H _- .___ . '. ‘ V. I _ A v . _2_ ~ . ‘ “(s-{hay Wﬁic tbs simplcst sum of products czprmsionlicr 1;: function implemented by égzwork shbwn bcIDWZ-‘l’ - /@:.+A‘La'+d§ ,.- . d' ~ ‘ a o 1 d' ,. g ‘. bl I l j I I . . 5, +01 d ‘F' _, :Qm') [Eldlidd'j’ / Ld’)” 0.44"! > >Ca+dXd’*d) I E, )z _ b + c (Ms) fm'ia'aéb Wicha’ubiYwSWZCj {CW} WW] I I +adc' . {Ragyacﬁéb’mL'o/uacjgme;my] (dag/42¢ a’dc.’ .. .. . 1L0. . ' . ms) Show how :2: 3:13:12:an th: switching fzmcdon f(a.h,c) - 21,3,6 using on: 4 to l ‘pchcr module, the constant 3.11pm of m and ms, and t nmbc‘: of additional _ c only mmplcxﬁgmcd inputs are avnihbla)‘ A- d . OI; XI—~a‘ "Il C ‘i I _ '+dﬂb+¢'ﬂ-’==‘z(0~’b* 0’6” 4b: 501% 536%)(443) In“ W “Via; 5! i I 9 in _D v ...
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Final 1 - {ll/1 “54“*f" K“ 47 r 5\‘ J a l ﬂ'1...

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