{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Practice Problem Set #1 Solutions

Practice Problem Set #1 Solutions - Practice Problem Set#1...

Info icon This preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

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

View Full Document Right Arrow Icon
Image of page 8
Image of page 9

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

View Full Document Right Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Practice Problem Set #1 Solutions 1. (a) Plot the following function on a Karnaugh Map. (Do not expand before plotting). F(A,B,C,D) = A'B' + CD' + ABC + A’B’CD' + ABCD' (b) Find the minimum Sum of Products (SOP) expression. (c) Find the minimum Product of Sums (POS) expression. FAB 00 01 11 10 mama lulu mmmfl Guglle lof10 l 2 i i 2 I E i l Spring 2012 2. Find the minimum Sum of Products (SOP) and minimum Product of Sums (POS) expressions for each of the following: (a) F(A,B,C,D) = 2111(0. 2, 3, 4. 7, 8, 14) p (A,r5,c,o) : A'c’o’Jr B’c’o’ + A’cp + NIB/C + ABLOC F (A,6,C,D) = (6+p')(A’+D'). (A’+5'+¢)(A’kg+c’). (RVEI*CI+D)‘ (b) F(A,B,C,D) = HM(1, 2, 3, 4, 9, 15) F AB CD _ F(A,6,c,v7 = (A‘VE—i’c’). Efl-EE (“UV'VAw/“Wi (Nash c’m' )‘ mmfi [EILEEN A ' Remap) = Ao’+ B’c’p’ + Ec’D + NBC + AB’c: 2 of 10 Spring 2012 3. Find the minimum Sum of Products (SOP) and minimum Product of Sums (POS) expressions for each of the following: (a) F(A,B,C,D) = Zm(0, 2, 6, 9, 13, 14) + 2d(3, 8, 10) FCA.6,C,D) = CD’+ 13’17’.L AC’D . F(A,6,C,D) = (Unix Aw’), (6mm), (b) F(A,B,C,D) = HM(0, 2, 6, 7, 9, 12, 13) . HD(1, 3, 5) °° [mam m [QMIQJQ mmm mmmm F(A,B,C,D) a (Amflud). (PH'C'XA'Jr EWC)‘ 11 Pékfiycm) = AC 4' N6C’+ Ms’b’. 10 3 of 10 Spring 2012 4. Roth & Kinney — problem 5.19. (c) 8.;n-3C‘M—I-Ufi-O z 4of10 hmex. F. !:+X-., Spring 2012 (‘I,*xl’+xfl(¢t *c;*xa’*x-: )(ayq’ 4‘48"“) 290: “Etta—~— a 0 ~. vv‘nwv N; 32.: \ 6 ? i O 5 of 10 Spring 2012 5. Roth & Kinney — problem 2.13, part (d). ° Determine the Boolean expression that represents the given logic circuit. 0 Use Boolean algebra to simplify the Boolean expression ° Draw the corresponding simplified logic circuit. I 2‘ “WM + (we I 7 Y x mm H9 (v.55): WIN] 1 KW “a” (Lm)-c)/+ D —’ ((fim)’+c’)+ I) = Myra/+17 6 of 10 Spring 2012 6. Roth & Kinney — problem 3.13, parts (b) and (c). (b) [4L’M’+ NM' 4' LM'N” ILL’M’ Ir N’ (M + LM') [LL’M’Jr “((M4’L) : [LL’M’ + 1,51% MW (57 (l4*L,)<lL’+L/+H)(LI+M+N’) (L’+ (\L)(w+p))(u+mw’) (L’ + lad Jr [4H)(L'+M +M’) (U4, 1LU)(L’+M+M’) (LW (WXMW'H L’+ [emu + ILIJN’ L’+ MM“. 7 of 10 Spring 2012 7. Roth & Kinney — problem 3.25, pan (d). (A) A’D(l3'+c) + A’D’(E+c/) 4’ ((5% 0X my) Nb’o + New 4' NBDW A’L'D’ + B'B + 156+ (,6 + cc,’ A'E’D + Na!) + Ix’sv’ + A’c’o’ + [5’(,’ + BC. 8 of 10 Spring 2012 8. Roth & Kinney — problem 4.7. WNW ‘ (Mmum’rc'xm m’ )(k'*b’Lc)‘ ' (A’q'a'c’ ) 9 of 10 Spring 2012 9. Determine the minterm and maxterm expansions for the logic functions given below. ' Specify the minterm expansion using “little-m” notation. ° Specify the maxterm expansion using “big-M” notation. (a) F(A,B,C,D)=AB +A'CD p(k.a,c,o) 2 pa; (co +c'o 4* co'w’b’) 4' Na) (5 445’) M500 + RBC’D + RBCD'+ k6c’o'+ A'BCD + k’lZ/LD \S B W n, 7 3 u FLk,l5,c,o) z §m(3,7,n,t3,w,tg) F 058,90) 2 ‘KM(°.I,7',*f,S,(.,8,‘i,to,u) (b) F(A,B,C,D) = (A + B + D').(A' + C).(C + D) 3 I new»)? ‘ (M 6* c’ ’r 0’ Wk 5 +6: +o’)- I I \‘5 I In, I 0" I l 8 ‘ (Ix H3 rap )(N+ B + CroXMBmw )(K 4' 3+ up 4 o (NJ/6’ {:1CVD)(AI‘V3 1c tux AHS'k c+p)( MB +4417). 90mm) 5 Wm(o'~t,%,‘l,lm,l3,l,s) : “Mkoflfifiy‘f‘flhm FLA,6,c,o) 2 §M(z,§,c,7, lo’ll.l'{"l§) 10 0f 10 Spring 2012 ...
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