Unit_1_SG - 2 Unit‘l.IOIOIIIOIIIICIIIOC 1 Study Section |...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2 Unit‘l .IOIOIIIOIIIICIIIOC 1. Study Section | | Digital 83 stems and Swirenr'ng Circuit: and answer the following study questions. (a)_ WhaI' Is the basic difference between analog and digital systems? FIRM-06:2 use! DOMIWM dangle JJIGIIT'A-L: meg dished;- Si 5 (hi Why are digital systems capabie .of reader accuracy than analog systems? Aug)?! Wm “'52.! MM .31.; the mummi- mm Dréaib'ifiii Wake; mew (c) Explain Wmegifirence between combinational and sequential switching circuits. CWQIMNTIONM- Macon: W W; nuL'a up“ Pram infra? SEfiI-I'ENTIML QLRLMITLI W- defends N {ha W I'M-1d Pei} I'M (d) What common characteristig: do most switching devices used in digital systems have? swim denim haw-e- 2 sinker [WM%;0MLW (2) Why are binary numbers used In digital syslems'? Bllflflhla W M2 swig. 2 W (Dal) “MES- whee mam. ha the Inn emu oi: a. 9mm device 2. Stud}.r Section 1 2. NuIIIbeI‘ Emma-Is and Conversion. Answer the following study questions; as you go along: (a) is the first remainder obtained, in the division method for base conversion the. most or Ian significant digit? 1-1.1; Imi- damn-m bi"? ("bi Work ihmugh all of the ex amples in the text as you encounter them and make sure th all you understand ail {If thc'sleps. (C) An easy method for conversion bEIween binary and hexadecimal is illu‘snnted in Equation {E-IJ. Why should you snirt forming the groups nf-i‘ourbils at the binary point instead of the‘ left end of the number? jumMW%b$aDu;t4awwa (d) Why is it impoesibielo convert a de'cimnE number to bi nary on a digit—byrdigil basis an can be done for hexadecimal? For mMmM—‘a ié' a» new» 6% 2(2“=Jé)=bwmttfl 4w: Win one ModeeImeJ sugar For Mme-i -'«> [Die more; Pom 61,-5.5. Number Systems and Conversion 3' (a) Cumplelc the following Conversion Labia. Binary Octal Decimal H exadacimal (base a) (base- In) ‘ (f) Work Problems 1.1, 1.2, 1.3,,and L4. Stufiy Section 1.3. Kimmy Arithmetic. (a) Make sure that-mu can £611th a]: of- the examples. espacialiy Ihc propagation of borrows in the subtraction pmocss. (b) To make sure: that you undmtand the borrowing process. work:- D'Lll a. dctailed anal 51.595 inlnrms of powers nf 2forthefollowing exampic: ‘ 1 5' 'if _ - 1100 [‘I-xz’ +114 z‘+ 0x23+ m“ J =[1K2+'¥3+ In")? NWT-“9:1.- :fl .. “:2" +oxa'1-In29] - [Ixz‘+ oxi‘ + rszfi'fl 1“ =[i 125.“; _|)z‘+(gofo—p 2'+[ID+D)L=31 - rug? 1- o 32‘ + Jaw“ Work Pmblems 15. 1.6, and 1.170;). {(1-0le “P 0°“? '“91¥+"~19*° *lefi'mfifl .. in + 0an + $29] ."z‘nudg.r Semen 1.4, Represenranon afNegqn we Numbers. g ”15+ I. KZ-"+ 183+”sz (a) In digital systems. why are 1‘}. complement and 25 comp cment commonly usnd to- represent negative: numbm instead nf-signand magnitude? ”£1- '15 eugicr +1: Emu cimfii‘: +9 do 1L2. mmplmmi‘ in“ 2'; w“?‘”““ mi-ihmeal-ic (c) Sun: three different ways of forming the 2‘3 complement of an rt-bil binmy number. l- N": ZEN, ic' sumac}: H {mm a“ 2. Cow-171mm} 56+ by w em! midi a. commwan br'i-s “h: m tail!- of me firsf 1* (d) If the word length is n = 4 bits (including Sign). what dmimai num'bar docs 10002 rcpmsent' ll'l sign and magnitude?— —0 H In 2‘s cumplement?-'3 —}> z." 8= [6-3 = '5! in l s complement? inCoa-Hfiemmi (not: a out; =r' loco}: -¥- {e} Given a npgative numbbl: represented in 2's complemaut. how do ydu find its mgn'md“? Find m 2'6. mmflmw oi- +he number ['23- b0 Given a negative number represented in 1's complement, how do you find its magnitude? Fmi me, It comp lemma!“ oi 'H'E Number. mptomw b'+ E tan) {f} If [he word length 15 6 bits (incl :15 sign). what dacimal number does 100000: mmifinrmsign and magaimde'? [11 2‘5 complement? _ 31 [11 1'5 complfiment? -3! (3} What is Imam by an overflow? How can you tail that an avcrflow has occurred whcn peafunmng 1's 01‘2’3 campiement addition? Pm OU'Q-‘Eiow occur-s when 4-9.; mm of m n-br'l’ addifion or :uhhndim opamfion ng‘uma (rm) bits ’ FUTM— Malian 2m "mbmfl‘"8 -n mat ou-B—vr. W-afidvg we 1+“- . - . . - 9.51“. ab or liefiah-Ne (Pnafivzhi’osd-rm M _ Dgefléfigfi‘ym out last bit ilionfidicate that an averflow has occurred? bio Number Systems and Conversion 5 {11) Work out some examples of 1‘s and To complement addition for various combinations of positive and negative numbers; (i) What is the justification for using the end-around carry in l's'complement addition? £31581: GAME.) {rs-visa) ”To d’{B—P05w~oced-lu = z” J—A) r a 2”+c e~ FD—I sfiw 1" ma odd I, to'ntd't ._ '[ ' 3 ts. done. Ina we end-Mound awai- n 5; Result of evd—mnt; " ¢E+B=t=¢t—Al+f="ri-B) = 2 - C3“ ‘ (“+334 “‘6 ‘5 zii-mrerJIk'i-W’lri 6} The one thing that causes the most trouble with 2‘s compi-ent numbers is the special fiat-:3: case-of the negative number which consists-of a' 1 followed by all D's (1000 . . . DOG). If this number is n bits long, what number does it represent and why? (It is not new tiye zero. «Far an r) bit- 2‘3 eowtflwehi' fiQ, tonal—pt! i3- _- 25H. . “M93“ +112. mmbet- ls. woeful-we. 3...; W'H'flg 3.: 2."-2.-'"-;--2.Hi (k) WorkPIoblems 1.7 and 1.8. 6. Study Section 1.5. Binary Codes. (3) Represent 187 in BC‘D cede, excess-3 code, 673—1-1 code. and Zeut-of-S code. (act): 0001 loo-o Olll “$5-31 otoo loll Iota 6-34-42 GDOI loll tool aunt-#5100101 [moo toolo _ (b) Verify thanhe 6-3wl—1 codeisa weighted cede. Notethat for modem ' a] digits, two different code combinations could have been used. For example,.either 0101 or 0110 could represent 4. In each case the'combinatioo with the smaller binary value-has beau used. (a) How is' the excess-3 code obtained? Add 3 (out!) he the Ed) cede. (d) How are the ASCII eodes for- the decimal digits obtained? What is the relation betw'één the ASCII codes for the'capital letters and lowercase letters? . ;-. . baseman dragrs-tso-Hls At m 5.11m tot-o4- ekam 4a: brmg ref. emu-e dill-WM when . __ '{ej Work Problem 1.9. w -= WW "'0‘” 10'“ 5 5‘37- 7. If you are taking this course on a self—paced'basis, you will need to pass a readiness teat on this unit before going on tothe nest unit. The purpose of the readiness test is to determine if you haven-seemed the material in this unitaudare ready to-go onto the nextuuit. Before you take the readiness tost: (3.) Check your answers to the problems against those provided at the end of this book. If you missed $1ny the problems, make sure that you understand why your answer is wrong and correct your solution. (b) Make sure that you can meet allof the objectives listedjetthe beginning of this unit. ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern