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37. Construct a truth table for each of these compound sitions. a) p→ (-q Vr) b) ¬p → (q→ r) c) (p →q) v (¬p → r) d) (p →q) ^ (¬p → r) e) (p →q) v (¬q ↔r) f) (p¬q) → (q↔r)

37. Construct a truth table for each of these compound sitions. a) p→ (-q Vr) b) ¬p → (q→ r) c) (p →q) v (¬p → r) d) (p →q) ^ (¬p → r) e) (p →q) v (¬q ↔r) f) (p¬q) → (q↔r)

Computer Networking: A Top-Down Approach (7th Edition)
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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37. Construct a truth table for each of these compound sitions. a) p→ (q Vr) b) ¬p → (q→ r) c) (p→q) v (¬p → r) d) (p→q)^(-p → r) e) (pq) v (¬q ↔r) f) (p¬q) → (q ↔r)
Transcribed Image Text:37. Construct a truth table for each of these compound sitions. a) p→ (q Vr) b) ¬p → (q→ r) c) (p→q) v (¬p → r) d) (p→q)^(-p → r) e) (pq) v (¬q ↔r) f) (p¬q) → (q ↔r)
Expert Solution
Step 1

First lets understand how each operator works:

∧ : And operator:

p∧q : is true when both p and q are true, otherwise it is false

¬ : Not operator:

¬p : is true, when p is false, otherwise it is false

∨ :Or operator:

p∨q is false, when both p and q are false, otherwise it is true

→ : implies operator:

p→q : is false when p is true and q is false, otherwise it is true

<-> : bi implies operator

p<->q is true when both p and q are true or both p and q are false, otherwise it is false

 

 

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