13. Write the Boolean expression for each of the logic circuits in Figure 4-56. DD. C (a) (b) (c) (d)

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PROBLEMS
237
13. Write the Boolean expression for each of the logic circuits in Figure 4-56.
B
B
C
B.
C
(a)
(b)
(c)
(d)
A FIGURE 4-56
14. Draw the logic circuit represented by each of the following expressions:
(a) A + B + C
(b) АВС
(c) AB + C
(d) AB + CD
15. Draw the logic circuit represented by each expression:
(a) AB + AB
(b) AB + AB + ABC
(c) AB(C + D)
(d) A + B[C + D(B + C)]
16. Construct a truth table for each of the following Boolean expressions:
(a) A + B
(b) АВ
(с) АВ + ВС
(d) (A + B)C
(e) (A + B)(B + C)
SECTION 4-5
Simplification Using Boolean Algebra
17. Using Boolean algebra techniques, simplify the following expressions as much as possible:
(а) А(А + B)
(b) А(А + АB)
(с) ВС + ВС
(d) A(A + AB)
(е) АВС + АВС + АВС
18. Using Boolean algebra, simplify the following expressions:
(b) AB + ABC+ ABCD + ABC DE
(a) (A + B)(A + C)
(с) АВ + АВС + А
(d) (A + A)(AB + ABC)
(e) AB + (A + B)C + AB
19. Using Boolean algebra, simplify each expression:
Transcribed Image Text:PROBLEMS 237 13. Write the Boolean expression for each of the logic circuits in Figure 4-56. B B C B. C (a) (b) (c) (d) A FIGURE 4-56 14. Draw the logic circuit represented by each of the following expressions: (a) A + B + C (b) АВС (c) AB + C (d) AB + CD 15. Draw the logic circuit represented by each expression: (a) AB + AB (b) AB + AB + ABC (c) AB(C + D) (d) A + B[C + D(B + C)] 16. Construct a truth table for each of the following Boolean expressions: (a) A + B (b) АВ (с) АВ + ВС (d) (A + B)C (e) (A + B)(B + C) SECTION 4-5 Simplification Using Boolean Algebra 17. Using Boolean algebra techniques, simplify the following expressions as much as possible: (а) А(А + B) (b) А(А + АB) (с) ВС + ВС (d) A(A + AB) (е) АВС + АВС + АВС 18. Using Boolean algebra, simplify the following expressions: (b) AB + ABC+ ABCD + ABC DE (a) (A + B)(A + C) (с) АВ + АВС + А (d) (A + A)(AB + ABC) (e) AB + (A + B)C + AB 19. Using Boolean algebra, simplify each expression:
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