Exam (elaborations) TEST BANK FOR Computer System Architecture 3rd Edition By M. MORRIS MANO (Solution manual)

CHAPTER 1 1.1 A B C A•B•C (A•B•C)' A' B' C' A'+B'+C' 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1.2 A B C A⊕B A⊕ B⊕ C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1.3 (a) A + AB = A(1 + B) = A (b) AB + AB' = A(B + B') = A (c) A'BC + AC = C(A'B + A) = C(A' + A) (B + A) = (A + B)C (d) A'B + ABC' + ABC = A' B + AB(C' + C) = A'B + AB = B(A' + A) = B 1.4 (a) AB + A (CD + CD') = AB + AC (D + D') = A (B + C) (b) (BC' + A'D) (AB' + CD') = ABB'C' + A'AB'D + BCC'D' + A'CD'D 0 0 0 0 0 = 1.5 (a) (A + B)' (A' + B') = (A'B') (AB) = 0 (b) A + A'B + A'B' = A + A' (B + B') = A + A'= 1 1.6 (a) F = x’y + xyz’ F' = (x + y') (x' + y' + z) = x'y' + xy' + y' + xz + y'z = y' (1 + x' + x + z) + xz = y'+ xz (b) F•F' = (x'y + xyz') (y' + xz) = 0 + 0 + 0 + 0 = 0 (c) F + F' = x'y + xyz' + y' + xz (y + y') = x'y + xy(z' + z) + y' (1 + xz) = x'y + xy + y' = y(x' + x) + y' = y + y' = 1 = - 5 - 1.7 (a) x y z F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 (c) F = xy'z + x'y'z + xyz (d) Same as (a) = y'z(x + x') + xz(y + y') = y'z + xz 1.8 (a) (b) (c) (d) - 6 - 1.9 (a) (b) (c) (d) 1.10 (a) (b) (1) F = xy + z' F' = x'z + y'z (1) F = AC' + CD + B'D (2) F = (x + z’) (y + z') (2) F = (A + D) (C' + D) (A + B'+C)