ne nonal 15. Draw the nated logic diagram for the following Boolean expressions. You may use XOR gates. *(a) ((a')')' *(c) a'b + ab' (e) ab + ab' + a'b (b) (((a')')')' (d) ab + a'b' (f) ((abb')' + a'b)'

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Chapter1: Introduction
Section: Chapter Questions
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Number 15 part d please
y. Give a
part (a).
its truth
ND gate.
e the set
Venn
owing
and z
n (3)
sing
escription of subsets of (a, b) where 1 =
(a, b) (the universal set), A = {a}, B = {b}, and 0 = {} (the empty set).
The truth tables for two-input AND and OR operations have 16 entries
d of 4, and the truth table for the complement has 4 entries instead
of 2. Construct the truth table for the following:
instead
(b) OR
(a) AND
(c) the complement
14. The exclusive NOR gate, written XNOR, is equivalent to an XOR followed
by an inverter. *(a) Draw the symbol for a two-input XNOR gate.
(b) Construct its truth table. (c) The XNOR is also called a comparator.
Why?
Section 10.2
15. Draw the nonabbreviated logic diagram for the following Boolean
expressions. You may use XOR gates.
*(a) ((a')')'
*(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) (ab) c + ab'c
(o) (ab' + b'c + cd)'
(q) (((ab)'c)'d)'
(b) (((a')')')'
(d) ab + a'b'
(f) ((abb')' + a'b)'
(h) (ab'c)'(ac)'
(j) (ab+b'c')'
(1)
(a + b)(a + c)(b' + c')
(n) (((a+b)' + c)' + d)'
(p) ((a+b')(b + c)(c + d))'
(r) (((ab)' c)' d)'
16. Draw the abbreviated logic diagram for the Boolean expressions of
Exercise 15. You may use XOR gates.
17.
Construct the truth tables for the Boolean expressions of Exercise 15.
18. Write the Boolean expressions for the logic diagrams of FIGURE 10.63
19. Write the Boolean AND-OR expression for the following:
*(a) function y in Figure 10.3
(b)
function y in Figure 10.4
(c)
function x in Figure 10.17
(d) the NAND gate in Figure 10.7(a)
Transcribed Image Text:y. Give a part (a). its truth ND gate. e the set Venn owing and z n (3) sing escription of subsets of (a, b) where 1 = (a, b) (the universal set), A = {a}, B = {b}, and 0 = {} (the empty set). The truth tables for two-input AND and OR operations have 16 entries d of 4, and the truth table for the complement has 4 entries instead of 2. Construct the truth table for the following: instead (b) OR (a) AND (c) the complement 14. The exclusive NOR gate, written XNOR, is equivalent to an XOR followed by an inverter. *(a) Draw the symbol for a two-input XNOR gate. (b) Construct its truth table. (c) The XNOR is also called a comparator. Why? Section 10.2 15. Draw the nonabbreviated logic diagram for the following Boolean expressions. You may use XOR gates. *(a) ((a')')' *(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) (ab) c + ab'c (o) (ab' + b'c + cd)' (q) (((ab)'c)'d)' (b) (((a')')')' (d) ab + a'b' (f) ((abb')' + a'b)' (h) (ab'c)'(ac)' (j) (ab+b'c')' (1) (a + b)(a + c)(b' + c') (n) (((a+b)' + c)' + d)' (p) ((a+b')(b + c)(c + d))' (r) (((ab)' c)' d)' 16. Draw the abbreviated logic diagram for the Boolean expressions of Exercise 15. You may use XOR gates. 17. Construct the truth tables for the Boolean expressions of Exercise 15. 18. Write the Boolean expressions for the logic diagrams of FIGURE 10.63 19. Write the Boolean AND-OR expression for the following: *(a) function y in Figure 10.3 (b) function y in Figure 10.4 (c) function x in Figure 10.17 (d) the NAND gate in Figure 10.7(a)
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