1. Circle T (true) or F (false) for each of these Boolean equations. A +1 = A F A + BC = (A + B)(B + C) AOB = A ÐB a) T F b) T F c) T F

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1. Circle T (true) or F (false) for each of these Boolean equations.
a)
T
F
A +1 = A
A + BC = (A + B)(B + C)
A OB = AOB
b)
T
F
c)
T
F
d)
T
F
A(BC)=(AB)C
e)
A + B + C = A.B.C
T
F
2. Evaluate the following:
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 D
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 + wỹ+ wxỹ
7. Simplify the following expression using the postulates and theorems of Boolean algebra.
Eliminate all group complements.
(АВС) (А + C)(А + C)
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:1. Circle T (true) or F (false) for each of these Boolean equations. a) T F A +1 = A A + BC = (A + B)(B + C) A OB = AOB b) T F c) T F d) T F A(BC)=(AB)C e) A + B + C = A.B.C T F 2. Evaluate the following: 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 D 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 + wỹ+ wxỹ 7. Simplify the following expression using the postulates and theorems of Boolean algebra. Eliminate all group complements. (АВС) (А + C)(А + C) 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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