Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.8 - Proof Methods and Strategy - Computer Projects - Page 113: 1

Answer

The following code is for python. we can use python in-built "or" (disjunction) and "and" (conjuction) and "not" operands. p = bool(input("Enter the truth value of p (True or False): ")) q = bool(input("Enter the truth value of q (True or False): ")) conjunction = p and q disjunction = p or q exclusive_or = p != q conditional = not p or q biconditional = p == q print("Conjunction (p and q):", conjunction) print("Disjunction (p or q):", disjunction) print("Exclusive or (p xor q):", exclusive_or) print("Conditional (p -> q):", conditional) print("Biconditional (p <-> q):", biconditional)

Work Step by Step

The following code is in python language. # Take input from user for p and q p = bool(input("Enter the truth value of p (True or False): ")) q = bool(input("Enter the truth value of q (True or False): ")) # Calculate the truth values of the logical operators conjunction = p and q disjunction = p or q exclusive_or = p != q conditional = not p or q biconditional = p == q # Print the truth values of the logical operators print("Conjunction (p and q):", conjunction) print("Disjunction (p or q):", disjunction) print("Exclusive or (p xor q):", exclusive_or) print("Conditional (p -> q):", conditional) print("Biconditional (p <-> q):", biconditional)
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