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Discrete Mathematics and its Applications

Kenneth H. Rosen

$Math Studyset Vaia Explanations$ Math

7th Edition · 808 pages

ISBN: 9780073383095

Chapter 2: 41E (page 115)

Find the output of each of these combinatorial circuits.

Short Answer

Expert verified

a. The output of the given combinatorial circuit is $\neg (p \land (q \lor \neg r))$

b. The output of the given combinatorial circuit is $(\neg p \land \neg q) \lor (p \land r)$

Step by step solution

Step 1 r pass through NOT gate and output is ¬r

We note that r is the input of a NOT gate, which then outputs $\neg r$ Next, we note that q and $\neg r$ are both the input to an OR gate, which then outputs

p and q pass through NOT gate

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Find the output of each of these combinatorial circuits.

Short Answer

Step by step solution

Step 1 r pass through NOT gate and output is ¬r

p and q pass through NOT gate

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Most popular questions from this chapter

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