Determine if the following statements are logically equivalent using truth tables. (a)~ (p^q) and ~ p^~q (b) p^ (q Vr) and (p^q) v (p^r)
Determine if the following statements are logically equivalent using truth tables. (a)~ (p^q) and ~ p^~q (b) p^ (q Vr) and (p^q) v (p^r)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:Determine if the following statements are logically equivalent using truth tables.
(a)~ (p^ q) and ~ p^~ q
(b) p^ (q Vr) and (p^q) v (p^r)
Expert Solution
Step 1
We are given logical statements and we are going to prove if they are logically equivalent. We will be using truth table to confirm if the statements are equivalent or not.
For making the truth table for the given statements, we will put all possible values for the variables p,q,r like (true, true), (true,false),.. and we will do it for each statement.
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