
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
5th Edition
ISBN: 9780134801155
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 12, Problem 1AW
Design an
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1. Consider the NFA defined by the state diagram below. Follow the algorithm seen in
class and in our textbook to construct an equivalent DFA. Please only include the
states reachable (in one or more transitions) from the start state. (Your solution can
be either the table or the state diagram, or both if you wish.)
a
ε, b
b
a
a
92
91
8
93
b
a, b
-
a) Answer these Theoretical Questions:
1. Explain the rule of thumb for the Big O. Provide at least one example of applying each rule.
2. What is the Big O of each of the following functions?
a) (n + 1)³/n
b) (n³ + logзn) ³/n
c) n + 100n³ + n
d) 3n+ 100n3 + 3n
*
e) n 3n+ n * 33n
3. Describe an algorithm for finding the occurrence of the max element in an array. Analyze the
complexity of the algorithm.
4. What is Divide-and-Conquer? What is the difference between Divide-and-Conquer and Dynamic
Programming? What are the benefits of using one over another if any?
5. Is it possible to design an algorithm for finding the max element in a list using Divide-and-Conquer?
What is the complexity of this algorithm?
Hint: In this approach, the initial array is divided into two halves...
b) Programming assignment:
Implement initiative / naïve method to find a max element in an array.
Implement the method that uses the Divide-and-Conquer approach to find the max element in an array.
Test both…
9. Given the following Boolean Function:
F(P, Q, R) = PQ+QR+PR
F(P,Q,R)
(i) Derive the canonical SOP (sum of minterms) for F.
(ii) Derive the canonical POS (product of maxterms) for F.
(iii) Draw the truth table, clearly marking which rows are minterms of F and
which rows correspond to maxterms of F.
10) For n Boolean variables, how many distinct Boolean functions exist? Give the answer as a
function of n and briefly justify it.
Chapter 12 Solutions
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
Ch. 12.2 - Prob. 12.1CPCh. 12.2 - Prob. 12.2CPCh. 12.2 - Design an algorithm that determines whether the...Ch. 12.2 - Design an algorithm that determines whether the...Ch. 12.2 - Prob. 12.5CPCh. 12.2 - Prob. 12.6CPCh. 12 - Prob. 1MCCh. 12 - Prob. 2MCCh. 12 - If the str variable contains the string "berry",...Ch. 12 - If the str variable contains the string "Redmond",...
Ch. 12 - Prob. 5MCCh. 12 - Prob. 1TFCh. 12 - Prob. 2TFCh. 12 - If the String variable str contains the string...Ch. 12 - The insert library module automatically expands...Ch. 12 - Prob. 5TFCh. 12 - Prob. 6TFCh. 12 - Prob. 7TFCh. 12 - Prob. 1SACh. 12 - If the following pseudocode were an actual...Ch. 12 - Prob. 3SACh. 12 - Prob. 4SACh. 12 - Prob. 5SACh. 12 - Design an algorithm that counts the number of...Ch. 12 - Prob. 2AWCh. 12 - Design an algorithm that counts the number of...Ch. 12 - Design an algorithm that deletes the first and...Ch. 12 - Design an algorithm that converts each occurrence...Ch. 12 - Design an algorithm that replaces each occurrence...Ch. 12 - Assume the following declaration exists in a...Ch. 12 - Prob. 1DECh. 12 - Prob. 2DECh. 12 - Prob. 3DECh. 12 - Prob. 1PECh. 12 - Sentence Capitalizer Design a program that prompts...Ch. 12 - Prob. 3PECh. 12 - Sum of Digits in a String Design a program that...Ch. 12 - Prob. 5PECh. 12 - Alphabetic Telephone Number Translator Many...Ch. 12 - Word Separator Design a program that accepts as...Ch. 12 - Pig Latin Design a program that reads a sentence...Ch. 12 - Prob. 9PECh. 12 - File Encryption File encryption is the science of...Ch. 12 - File Decryption Filter Design a program that...Ch. 12 - Password Weakness Detector Design a program that...
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