12. How many rows appear in a truth table for each of these compound propositions? c) (p Λ γ Λ _t) + (r^ t) d) (pr) V (¬s → ¬t) a) p→ ¬p b) (p v¬r) 13. Construct a truth table for each of these compound propositions. а) рл ¬р b) (p v ¬q) → 9 c) p¬q d) (p v q) ^ r
12. How many rows appear in a truth table for each of these compound propositions? c) (p Λ γ Λ _t) + (r^ t) d) (pr) V (¬s → ¬t) a) p→ ¬p b) (p v¬r) 13. Construct a truth table for each of these compound propositions. а) рл ¬р b) (p v ¬q) → 9 c) p¬q d) (p v q) ^ r
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:12. How many rows appear in a truth table for each of these compound propositions?
c) (p Λ γ Λ t) + (r^ t)
d) (pr) V (¬s → ¬t)
a) p → ¬p
b) (p v¬r)
13. Construct a truth table for each of these compound propositions.
а) рл ¬р
b) (p v ¬q) →q
c) p¬q
d) (p v q) ^ r
14. What is the value of x after each of these statements is encountered in a computer program,
if x = 1 before the statement is reached?
a) if x + 2 =3 then x := x + 1
b) if x < 2 then x := x + 1.
15. Find the bitwise OR, bitwise AND, and bitwise XOR of each of these pairs of bit strings.
a) 1011110, 0100001
b) 11110000, 10101010
16. Translate the given statement into propositional logic using the propositions provided.
a) You cannot edit a protected Wikipedia entry unless you are an administrator. Express your
answer in terms of p: "You can edit a protected Wikipedia entry" and q: "You are an
administrator."
b) you can graduate only if you have completed the requirements of your major and you do
not owe money to the university and you do not have an overdue library book. Express
your answer in terms of g: "You can graduate," m: "You owe money to the university," r:
"You have completed the requirements of your major," and b: "You have an overdue
library book."
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