Question

University of Windsor School of Computer Science - Summer 2020 COMP-2650-91: Computer Architecture I: Digital Design Lab-3 Posted: June 17, 2020 05:30 PM Due: June 24, 2020 05:30 PM You must show your work for every question! 1. Simplify the lollowing Boolean expressions to a minimum number of literals: (2x3 = 6 points) (a) a'be + ab + abc + abc (b) (a' +(a ++) 2. Draw logic diagrams of the circuits that implement the original and simplificd ex- pressions in Problem 1. (2 x 3 - 6 points) 3. Find the complement of the following expression: (2 x 3 = 6 points) (a) a[u'd) + bc (b) 6 + d(u'b+c) 4. For the Boolean functions E and F, as given in the following truth table: (2+2+ 2-2+4 -12 points) X Y ZEF 0 0 0 1 0 0 1 1 0 0 1 1 1 0 11 0 0 1 () 0 1 1 0 0 0 0 DLT UL. 1 1 (a) List the minterms and maxterms of each function. (b) List, the minterms of E' and (c) List the minterms of E-T and E. F. (d) Express E and F in sum-of-minterms algebraic form. (c) Simplify E and F to expressions with a minimum of literals.

CAN YOU PLEASE DO ONLY NUMBER 4.......PLEASE AND THANK YOU

Answer 1

Date DI Page No. Y F 0 E 0 Et F E.F ON - oppx ер 0 2 -- 1 1 - 0 - بو o 0 0 0 4 -- la - 0 1 5 0 0 0 - 0 0 - JOB f - 109 Mintens of E Em (1, 2, 4, 6) Mastesnis of E: IM 0,3,5) Mintesms of f: Em(0,2,4,7) Martlims of F: IM44,3,5,6) (b) miterms of E' = moux terms of E Em(0,3,5) mitisms of f' = Maxterms of F & Em (1,3,5,6) 10) minterms of Ete = Zm(0:1,2,4,6,7) muntems of EF EMC24) (d) = XY 2 + xyz + x 92 + X Y Z f = y 2 + xyz + xy 2 + X Y Z e E = XỨ 2 + xyz + XY 2 + X Y Z VÝZ + xyz + xz1Y+Y) x 2 + xyz + x2 - X ( 2 + 2( X+ + x)

E Nº2+ z(x+x+4) = xųz + ² x + 2y Xž ty ² + Xÿ 2 f 2 My Zt 7 y + xyz + x y z ryžtiyz + xyz + X Y Z 217 + 7) + Xůž + X Y Z 2 + x y z + X Y Z 2 x + x + XVz Ź (x+x) cřti) + XY2 2t ýž +xyz

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