9. For each of the following Boolean properties or theorems, state the set theory interpretation: (b) x•1 = x (c) x + x' = 1 (g) x•0 = 0 *(a) x + 0 = x (d) x x' 0 (e) x:x = x (f) x + x = x 15. Draw the nonabbreviated logic diagram for the following Boolean expressions. You may use XOR gates. *(a) ((a')')' EA *(c) a'b+ ab' (e) ab+ ab' + a'b (g) (a'bc + a)b (i) ((ab)'(b'c)' + a'b'c')' (k) (abc)' + (a'b'c')' (m) (a b) Ð c + ab'c (o) (ab' + b'c + cd)' (g) (((ab)'c)'d)' (b) (((a')')')' (d) ab + a'b' t (f) ((abÐ b')' + a'b)' (h) (ab'c)'(ac)' (j) (a Ðb+ b' Oc')' (1) (a + b)(a' + c)(b' + c') Ad (n) (((a + b)' + c)' + d)' (p) ((a + b')(b' + c)(c + d))' (r) (((a Ð b)' Ð c)' d)' 18. Write the Boolean expressions for the logic diagrams of FIGURE 63 FIGURE 63 The logic diagrams for Exercise 18. b. (a) (b) (c)

9. For each of the following Boolean properties or theorems, state the set theory interpretation: (b) x•1 = x (c) x + x' = 1 (g) x•0 = 0 (a) x + 0 = x (d) x x' 0 (e) x:x = x (f) x + x = x 15. Draw the nonabbreviated logic diagram for the following Boolean expressions. You may use XOR gates. (a) ((a')')' EA *(c) a'b+ ab' (e) ab+ ab' + a'b (g) (a'bc + a)b (i) ((ab)'(b'c)' + a'b'c')' (k) (abc)' + (a'b'c')' (m) (a b) Ð c + ab'c (o) (ab' + b'c + cd)' (g) (((ab)'c)'d)' (b) (((a')')')' (d) ab + a'b' t (f) ((abÐ b')' + a'b)' (h) (ab'c)'(ac)' (j) (a Ðb+ b' Oc')' (1) (a + b)(a' + c)(b' + c') Ad (n) (((a + b)' + c)' + d)' (p) ((a + b')(b' + c)(c + d))' (r) (((a Ð b)' Ð c)' d)' 18. Write the Boolean expressions for the logic diagrams of FIGURE 63 FIGURE 63 The logic diagrams for Exercise 18. b. (a) (b) (c)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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