Question 2 (a) Let p, q and r be the following propositions concerning an element n of the set {0, 1, 2, 3, 4, 5, 6, 7, 8}. P: n is even; qn² is negative; r: n < 4, and let P, Q and R. denote the truth sets of p, q and r respectively. i. List the sets P, Q and R. ii. For which values of n is q→p true? iii. For which values of n is r →p true? (b) Draw a logic network that accepts independent inputs P₁, P2 and p3 and gives as output (P1 V (P2^p3)). Label your gates and give the symbolic output after each gate.
Question 2 (a) Let p, q and r be the following propositions concerning an element n of the set {0, 1, 2, 3, 4, 5, 6, 7, 8}. P: n is even; qn² is negative; r: n < 4, and let P, Q and R. denote the truth sets of p, q and r respectively. i. List the sets P, Q and R. ii. For which values of n is q→p true? iii. For which values of n is r →p true? (b) Draw a logic network that accepts independent inputs P₁, P2 and p3 and gives as output (P1 V (P2^p3)). Label your gates and give the symbolic output after each gate.
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:Question 2
(a) Let p, q and r be the following propositions concerning an element n of
the set {0, 1, 2, 3, 4, 5, 6, 7,8}.
P: n is even;
qn² is negative;
r: n < 4,
and let P, Q and R. denote the truth sets of p, q and r respectively.
i. List the sets P, Q and R.
ii. For which values of n is q→p true?
iii. For which values of n is r →p true?
(b) Draw a logic network that accepts independent inputs P₁, P2 and p3 and
gives as output (P₁ V (P2^p3)). Label your gates and give the symbolic
output after each gate.
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