1. Circle T (true) or F (false) for each of these Boolean equations. a) T F A+1 = A b) т F A + BC = (A + B)(B+C) c) T F d) F A(BC)=(AB)C e) T F A +B +C = A.B.T %3D Evaluate the following:

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Chapter1: Introduction
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75
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Home Work...
1. Circle T (true) or F (false) for each of these Boolean equations.
a)
F
A +1 = A
b)
T
F
A + BC = (A + B)(B + C)
c)
ĀOB = A OB
F
d)
e)
F
А (ВC)-(АВ)С
T
A + B + C = Ã.B.T
F
2. Evaluate the following:
a) Convert to hex: 11001001.10112
b) Convert to decimal: 110101.012
c) Convert to binary: 98.2510
d) Convert to decimal: 2A.416
3. Write the Boolean expression equivalent to the following logic circuit. Do not simplify!
A DO
B
4. Draw the logic circuit realization of the following Boolean expression as stated. Do not
simplify!
f(A, B,C) = (A + B) + (B + C)
5. Write the complete truth table for the Boolean expression of 4
6. Simplify the following Boolean expression as far as possible, using the postulates and
theorems of Boolean algebra.
f(w, x, y) = wxy + wx + wy + wxỹ
7. Simplify the following expression using the postulates and theorems of Boolean algebra.
Eliminate all group complements.
(ABC)(A + C)(A + T)
8. Given f(w,x,y,z) = I(0, 1,3, 5, 13),
a) Write the complete truth table for Y = f(w, x, y, z).
b) Draw the POS logic circuit.
c) Write Y = f(w, x, y, z) in POS Standard form.
d) Write Y = f(w, x, y, z) in SOP form.
e) Draw the SOP logic circuit.
f) Write Y = f(w, x, y, z) in SOP Standard form.
Transcribed Image Text:75 K/s Home Work... 1. Circle T (true) or F (false) for each of these Boolean equations. a) F A +1 = A b) T F A + BC = (A + B)(B + C) c) ĀOB = A OB F d) e) F А (ВC)-(АВ)С T A + B + C = Ã.B.T F 2. Evaluate the following: a) Convert to hex: 11001001.10112 b) Convert to decimal: 110101.012 c) Convert to binary: 98.2510 d) Convert to decimal: 2A.416 3. Write the Boolean expression equivalent to the following logic circuit. Do not simplify! A DO B 4. Draw the logic circuit realization of the following Boolean expression as stated. Do not simplify! f(A, B,C) = (A + B) + (B + C) 5. Write the complete truth table for the Boolean expression of 4 6. Simplify the following Boolean expression as far as possible, using the postulates and theorems of Boolean algebra. f(w, x, y) = wxy + wx + wy + wxỹ 7. Simplify the following expression using the postulates and theorems of Boolean algebra. Eliminate all group complements. (ABC)(A + C)(A + T) 8. Given f(w,x,y,z) = I(0, 1,3, 5, 13), a) Write the complete truth table for Y = f(w, x, y, z). b) Draw the POS logic circuit. c) Write Y = f(w, x, y, z) in POS Standard form. d) Write Y = f(w, x, y, z) in SOP form. e) Draw the SOP logic circuit. f) Write Y = f(w, x, y, z) in SOP Standard form.
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