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a) Express the logic circuits in Figure 1 and Figure 2 as logical ex- pressions. Use your knowledge of the Laws of Logical Equivalence to show these two expressions are the same, stating which laws you are using at each point. AND R NOT AND OR NOT AND NOT Figure 1: Circuit representation one NOT AND OR Figure 2: Circuit representation two b) Produce a truth table for the given circuits in Figure 1 and Figure 2 to verify that they are equivalent. Show the outputs of both circuits in the same truth table.

a) Express the logic circuits in Figure 1 and Figure 2 as logical ex- pressions. Use your knowledge of the Laws of Logical Equivalence to show these two expressions are the same, stating which laws you are using at each point. AND R NOT AND OR NOT AND NOT Figure 1: Circuit representation one NOT AND OR Figure 2: Circuit representation two b) Produce a truth table for the given circuits in Figure 1 and Figure 2 to verify that they are equivalent. Show the outputs of both circuits in the same truth table.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Translate the following predicate logic expressions intended for the database of question 1, into good English. (a) Owns(Claire, Deadpool) (b) Owns(John, Joker) A Owns(Paul, Joker) (c) -af € F(Owns(Mary, f) ^ Owns(John, f)) (d) 3f € F,r E RActs(BenAf fleck,r, f) (e) Vfi, f2 € F (Directs(Tarantino, fi) A Directs(Nolan, f2) = Prefers(Tom, f1, f2)) (f) Vf E F (Owns(Bob, f) = Owns(Mark, f)) (g) Vf E F (3r E R (Acts(JackieChan, r, f) = Owns(Mark, f))) (h) Vf E F (~3r € R (Acts(Margot Robbie,r, f) ^ Directs(Nolan, f))) (i) Vf € F (Owns(John, f) = Owns(Mark, f)^ ~ (f = Grawity)) (i) 3a E A (Vf € F (3r E R (Acts(a,r, f) = Owns(Claire, f))))
Transcribed Image Text:Translate the following predicate logic expressions intended for the database of question 1, into good English. (a) Owns(Claire, Deadpool) (b) Owns(John, Joker) A Owns(Paul, Joker) (c) -af € F(Owns(Mary, f) ^ Owns(John, f)) (d) 3f € F,r E RActs(BenAf fleck,r, f) (e) Vfi, f2 € F (Directs(Tarantino, fi) A Directs(Nolan, f2) = Prefers(Tom, f1, f2)) (f) Vf E F (Owns(Bob, f) = Owns(Mark, f)) (g) Vf E F (3r E R (Acts(JackieChan, r, f) = Owns(Mark, f))) (h) Vf E F (~3r € R (Acts(Margot Robbie,r, f) ^ Directs(Nolan, f))) (i) Vf € F (Owns(John, f) = Owns(Mark, f)^ ~ (f = Grawity)) (i) 3a E A (Vf € F (3r E R (Acts(a,r, f) = Owns(Claire, f))))
a) Express the logic circuits in Figure 1 and Figure 2 as logical ex- pressions. Use your knowledge of the Laws of Logical Equivalence to show these two expressions are the same, stating which laws you are using at each point. AND NOT AND OR NOT AND NOT Figure 1: Circuit representation one NOT AND OR Figure 2: Circuit representation two b) Produce a truth table for the given circuits in Figure 1 and Figure 2 to verify that they are equivalent. Show the outputs of both circuits in the same truth table.
Transcribed Image Text:a) Express the logic circuits in Figure 1 and Figure 2 as logical ex- pressions. Use your knowledge of the Laws of Logical Equivalence to show these two expressions are the same, stating which laws you are using at each point. AND NOT AND OR NOT AND NOT Figure 1: Circuit representation one NOT AND OR Figure 2: Circuit representation two b) Produce a truth table for the given circuits in Figure 1 and Figure 2 to verify that they are equivalent. Show the outputs of both circuits in the same truth table.
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