- Using Boolean algebra, simplify the following expressions: (a) (A + B(A + C) (c) BC+ BCD +B (b) AB + ABC + ABCD + A (d) (B + B)(BC+ BCD)

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Please send me the answers of problem 20 to 33 which i send in the images. I shall be thanks 

20. Using Boolean algebra, simplify the following expressions:
(a) (A + B)(A + C)
(c) BC+ BCD + B
(e) BC + (B + C)D+ BC
(b) AB + ABC + ABCD + ABCDE
(d) (B + B)(BC + BCD)
21. Using Boolean algebra, simplify the following expressions:
(b) BCD + (B +C + D) + BC DE
(d) BCDE + BC(DE) + (BC)DE
(a) CE + C(E + F) + E(E + G)
(c) (C+ CD(C.+ CD)(C + E)
(e) BCDIBC + D(CD + BD)]
22. Determine which of the logic circuits in Figure 4-59 are equivalent.
DI
D
D.
(a)
(b)
D-
(c)
(d)
FIGURE 4-59
Section 4-6 Standard Forms of Boolean Expressions
23. Convert the following expressions to sum-of-product (SOP) forms:
(a) (C+ D)(A + D)
(b) A(AD + C)
(c) (A + C)(CD + AC)
24. Convert the following expressions to sum-of-product (SOP) forms:
(a) BC + DE(BC+ DE) (b) BC(CD+ CE) (c) B+ C[BD + (C+D)E]
25. Define the domain of each SOP expression in Problem 23 and convert the expression to stand-
ard SOP form
Transcribed Image Text:20. Using Boolean algebra, simplify the following expressions: (a) (A + B)(A + C) (c) BC+ BCD + B (e) BC + (B + C)D+ BC (b) AB + ABC + ABCD + ABCDE (d) (B + B)(BC + BCD) 21. Using Boolean algebra, simplify the following expressions: (b) BCD + (B +C + D) + BC DE (d) BCDE + BC(DE) + (BC)DE (a) CE + C(E + F) + E(E + G) (c) (C+ CD(C.+ CD)(C + E) (e) BCDIBC + D(CD + BD)] 22. Determine which of the logic circuits in Figure 4-59 are equivalent. DI D D. (a) (b) D- (c) (d) FIGURE 4-59 Section 4-6 Standard Forms of Boolean Expressions 23. Convert the following expressions to sum-of-product (SOP) forms: (a) (C+ D)(A + D) (b) A(AD + C) (c) (A + C)(CD + AC) 24. Convert the following expressions to sum-of-product (SOP) forms: (a) BC + DE(BC+ DE) (b) BC(CD+ CE) (c) B+ C[BD + (C+D)E] 25. Define the domain of each SOP expression in Problem 23 and convert the expression to stand- ard SOP form
(b)
(a)
B
D'
(d)
(c)
FIGURE 4-59
Section 4-6 Standard Forms of Boolean Expressions
23. Convert the following expressions to sum-of-product (SOP) forms:
(a) (C + D)(A + D)
(b) A (AD + C)
(c) (A + C)(CD + AC)
24. Convert the following expressions to sum-of-product (SOP) forms:
(a) BC + DE(BC + DE)
(b) ВС(CD + СЕ)
25. Define the domain of each SOP expression in Problem 23 and convert the expression to stand-
(c) B + C[BD + (C + D)E]
ard SOP form.
26. Convert each SOP expression in Problem 24 to standard SOP form.
27. Determine the binary value of each term in the standard SOP expressions from Problem 25.
28. Determine the binary value of each term in the standard SOP expressions from Problem 26.
29. Convert each standard SOP expression in Problem 25 to standard POS form.
30. Convert each standard SOP expression in Problem 26 to standard POS form.
Section 4-7 Boolean Expressions and Truth Tables
31. Develop a truth table for each of the following standard SOP expressions:
(a) ABC +ABC + ABC
(b) XYZ + XYZ + XỸZ+ XYZ + XYZ
32. Develop a truth table for each of the following standard SOP expressions:
(a) ABCD + ABCD + ABCD + ABCD
(b) WXYZ + WXYZ + WXYZ + WXYZ + WXYZ
33. Develop a truth table for each of the SOP expressions:
(a) AB + ABC + AC+ ABC (b) X + YZ + WZ + XYZ
Transcribed Image Text:(b) (a) B D' (d) (c) FIGURE 4-59 Section 4-6 Standard Forms of Boolean Expressions 23. Convert the following expressions to sum-of-product (SOP) forms: (a) (C + D)(A + D) (b) A (AD + C) (c) (A + C)(CD + AC) 24. Convert the following expressions to sum-of-product (SOP) forms: (a) BC + DE(BC + DE) (b) ВС(CD + СЕ) 25. Define the domain of each SOP expression in Problem 23 and convert the expression to stand- (c) B + C[BD + (C + D)E] ard SOP form. 26. Convert each SOP expression in Problem 24 to standard SOP form. 27. Determine the binary value of each term in the standard SOP expressions from Problem 25. 28. Determine the binary value of each term in the standard SOP expressions from Problem 26. 29. Convert each standard SOP expression in Problem 25 to standard POS form. 30. Convert each standard SOP expression in Problem 26 to standard POS form. Section 4-7 Boolean Expressions and Truth Tables 31. Develop a truth table for each of the following standard SOP expressions: (a) ABC +ABC + ABC (b) XYZ + XYZ + XỸZ+ XYZ + XYZ 32. Develop a truth table for each of the following standard SOP expressions: (a) ABCD + ABCD + ABCD + ABCD (b) WXYZ + WXYZ + WXYZ + WXYZ + WXYZ 33. Develop a truth table for each of the SOP expressions: (a) AB + ABC + AC+ ABC (b) X + YZ + WZ + XYZ
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