3. Write the Boolean expression equivalent to the following logic circuit. Do not simplify! В C Y D

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
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Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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3. Write the Boolean expression equivalent to the following logic circuit. Do not simplify!
A
В
A
C
Y
D
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 + wxy
7. Simplify the following expression using the postulates and theorems of Boolean algebra.
Eliminate all group complements.
(ABC)(A + C)(A+ 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:3. Write the Boolean expression equivalent to the following logic circuit. Do not simplify! A В A C Y D 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 + wxy 7. Simplify the following expression using the postulates and theorems of Boolean algebra. Eliminate all group complements. (ABC)(A + C)(A+ 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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