PracMid1_Solutions_42 - 一 BME303 c° pynght◎ o门 y 2 A...

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Unformatted text preview: 一 BME303 c° pynght◎ o门 y 2 A t ˉ Pra。 uce °° 9 Due on0ct6,2009 M dterm1 e r k 够鲰 m针 Nam⒍ Last Name∶ Lab ses自 on∶ 1434L Praotice Midterm Instructions: 1 This pra欲 i◇ em,d攵 erm ooun钅 $as a Hˇ¢assignnle蚤 祆 2 Each m dterm mu欲 be stapIed lsO%sC° re deduCted othe~visel se 3 ∪ this page as a cover 侠 4 sho。,r deta屡 s ofyou萝 vvork,and eX铲 黄 }nt,ords,eXceptin th◇ ¢ ost obVious oases 5 Your/。 orklη ust be neat and clear 6 Eaoh sect on is10%,unless it is$peo fied di矸 erenuy,f° r a total of160%+40%extra tr’ oredit 婴胗 鞫 踯 裰躞 禹 跽 禹髻 躞鼽 Logic Stluctures Dcsign with∶ 「 b霪 各 ∷黄 th扌 锇 c$9 1Ⅰ |;◆ I∷ ¢ /\|:==:11, `|● ^洛 溥 鑫 V¢ 酴 o∶ ag驳 慧 $^ laugh dK征 】 ⅣΙ aps,and Ⅰ 1 atic Logic Circ姒 搪 $ o sche茵 狻 Ⅹ曦 眵0%)∶ L)默 a Λ C omp 1etc thc tmth B tab1 c lor1【 lc the ε o o 1 1 9 丨 0 f a tc be1o、 XOR(A,B) 9 | XOR `∶ BME303 Pracuc° c。 pynght。 M dterm1 Due on0ct6,2009 ody A⒒ er2009 No、 V,ConVert this位 utlltable to a logic equation as foⅡ ows∶ b Writc a1ogic exprcssion for cach ro、 v in thc truth table, 、 vhich has an output of1 by combining the inputs wim AND Hint∶ The logic cxprcssion for thc2nd row is A・ B=NOT(A)AND B c Thcn use OR to combine all of thc row-specific expressions Whatis thc1ogic cxpression that dcscribcs thc XOR gatc? d Explain in、 vords the1ogic equation that you° btaincd,and why it descobes tllc XOR gate e Comp1ctc below u1c venn diagralll ofthc XOR operation, — ’ t∷ — ∷ ‘ ∷ ¨ ¨ — ¨ ¨ ‘ , ~ 2 3 , ・’ 胃 巍鍪 eˉ IⅡ p骚 鑫邋 蛾 翳 磴 60%)∶ Rcpcdt Quesdon1above for a tltre∝ input XOR gatc The冁 狻l孓 飚 媾媾 鼯蕃 (80%)∶ a Fil⒈ in tlae trllth tablc belo、 v for adding t、 vo binary diglts丿 ` and B,that rcsults with血 c sum s and thc carry C,Notc tllat s and C are a1so binary digits∶ BME303 Pra。 uce c。 pynght◎ Due on0ct6,2009 Midterm1 0dy A"er2009 0utput s Input B A @ C 0 ' ρ ∫ Cl 0 0 夕 ` ` 夕 { / ` b c Conve⒒ this truth table to1ogic equatlons for s and C ⑿0%) Can you exprcss C using on1y one 厂 1ogic gate?、丙hich gate is Uhat? d Complctc below tl1e Ⅴcnn diagram for C, c Can you exprcss s using on1y one gate?If yes,which gatc is that? ∶′ 罅 C BME303 Due on Oct6,2009 CopyHght◎ 0"yA"er2009 f Comp1cte belo、 v thc Venn diagral11For s, g Draw the schematics forthe ha1⒈ adder,tlle1ogic structurc that sausnes the above trtI刂 1tab1e Rellllndcr∶ Be1ow calo the symbo1s ofsome common1ogic gatcs, NOT AND oR NAND ROR XOR BME303 Due on0ct6,2009 Pracuce Midterm1 C。 pynght。 ody ARer2oo9 4 The Fu弘 Adder ls a Three礓 翳 tH盘 Ad谩 e瞥 (120%): lFˉ Repeat Qucs位 on3above for a tlucc-input ha1f-addcr to obtain a fu11-adder,fo11o、 ving thc stcps belo、 v a `Vritc the tmth table for adding three binary digits沪 、 B, and Cin⒒ 1atresults with thc sum s and the calTy C。 ut,using the headcrs bclo、 v output 蝥 p⒔ t 盘 A B C,n S Ci汕 饣 b Convcrt this trllth tab1c to1ogic equations for s and C。 (20%) c Can you exprcss s using only onc gatc?Which gatc? d Complctc bclow the Venn diag£ 逦 for s ut BME303 Pracuce M dterm1 Due on0ct6`20o9 Copy冖 ght o oHy A"° r2oo9 e Extra C狗 dit(搀 %)∶ Fi11-in tllc foⅡ owing Karnaugh Map for C⑾ t using thc tluth tablc of 山 c fu11-adder you wrotc above for QuCs“ on4(a) AB 00 01 Cin o 夕 l/’ 0 礓 石 10 ll `驷 K硼 ; — ° 锏 ∩ 6汤 6” 叫 σ ` Ex饣 a Crcdit(2θ %〉 :UsC this Karnaugh Map to wllte a logic equation for C。 ut Explaln your steps in words g Ex鳖 各O cdit(10%)∶ h 溷嚣 1垦:万t思 Compare伍 is loglc equaton with thc 摞嬲 P瓦 r‰ 挪l1呵 & G匹 gct^→ 。 勹' 洫石 彳 (姆 c汰 G。 /B+肭 i Draw the schcmatics for thc flll⒈ adder,thc1ogic structure that satisⅡ es thc above trutll tablc(20%) `弓 +#.3 - 〓 ˇ 伴 妣 飞c匕 脓 Mfz酞 艹 l o⒆ 丌 6=″ 。 tf+I,m● v0⒊ 。 肝Φ 牟石 ‘ 如 ~oTC◇ 扌 年 骨 扒 /lN◇ zAIlrcRP :笸 :i甘:i≡ :萱 ii(丹 — {雨 ⑻ {卩 (卉 冗 ° 0|。 C, ∫ 0 0 丨 D | D o d) 沁 ket・ w‘ VR″ JtIJ '劭 、》 、 ' 七氵迥 潞 平 t/‰ 哏 w・ 叼 “σ s订 0 {ct。 `s ^%ˇ o Ι⊥垫妲±2鲤 且 陬 ο 弓 ∷ ∫ 0 l/ , ε 9 ⒕ 。之 G Xo乙 ‘ B/o 4Ⅱ ε ∫ 丨 汐 丨 丨 丨 丨 0 ε 丨 ° ˉ ^BC扛 ← 工 劫 注 ・◇ “ 0+(彳 “ +曲 ` f 丨 ` r巳 ˉⅣ 匕 =、 。l吣 并b |l0To)4~♂ c 盼 ′ g‘ D〃 ∝ 件‘ c′ =Ⅳ ° o冉 N0 g⒋ 〃 0T&) rfn)犬 0 三 =″ ° ″ s扌 ~》 C,c L丘 艹 ξ C=冉 A卩 0θ 艹 ~bC冫 A〈 D 丨 g∫ 。 ∵%皆:馔 犭 沪Ⅱ 夂 Ⅱ 【 砭 协切 C 虍 0 s∝ ‘-9sn访 △ fl△ 汕 虍ko泛 -ˉ 。 昀 0 +‘ 丨 0 9 谬 | or θ wk岬 w迓 ˇ otq 砗 c))‘ ‘19′ ・ 朵 r叼 'y‘ 井 `:o/流 x。 。 gv献 各 J胁 孑 钚 幽° 丬 以 ℃ ˇ廴 降 dC` )b`匆 ∽ 丛 C) 派咋 ← J△ 访 C)/ `g cr),‘ v楞 勿 卜 HⅡ 叼 `B 央 - 3‘ ?叮 际 ~bIc仵 )冉 ro◇ B lc具 ′ 盼 竺红 迤」± 0 0 扦 : AN0 g ==◇ 蛔 腼 。1久 《 劭 F廴 稃← 丫 喑 ) △ 湃 吵+(丹 忑 ) 肛 驷 b炯 tCΘ !∶ 丹 -∈ `⒑ b 4, 0〉 己汝 ° D 0 σ 矽 ⒚ 丨 l 0 一 0 ( 氵 ∷ Gn 一 +σ 坫.G分 +臼 g‘ ・‘ ,、 一 、 Ω s吧 D 好 ◇Xb艮 γ { 0 O 卜 「 { ° ∷ ( 卜 I 卜 — | 咖 b ( ∷ 0 t n!苗 +0`B'‘ lo o o 杨 rs=r・ ⒈ 亻 c弘 5+⒍“ +帏 碜 件 κ ∫占 :滞 ∷瞥 冫抚 )∷ ‘ 3。 丿 厶 以 4。 泗 有劭、 . 1∶ ㈤ I:∵ 翊 /【 烫 ” 饣 Ⅱ Bc1迎 叻 〃 “ 伊 `坊 ← 叼 u山 q洫 IF'3冖 奋 协 ∞ 土+' t/(~ n|-勿 冫 '丿 6 。 久 疮 |七 :货 '空 叩 “ 见 G^狈 吒 劭,9。 阢 1ψ k帧 we。 哕 人廴 ;喏 亻 冬 Cr/叩 碰6⑿ ′ ∵ c叩 ← ∶ !`△ tk(p↓ 氵 久 k书 'G玖 (~ i 1` ^1?。 :、 `・ tcfJ丿 1u【 ^Jˇ ˉ l△ tζ |{|∶ ))∷ D∵ - 。 l//ds^l0te 白∝叩 艹 铷 史 /气qP劬 杪 ¤⒋ 如 鲰 扩 “ 山溺哑 扒6己 “ ...
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PracMid1_Solutions_42 - 一 BME303 c° pynght◎ o门 y 2 A...

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