4. Let n be a positive even integer. How many functions f: {0, 1}" {0,1}" are there that satisfy f(r) (a) a for all a E {0,1}"? Justify your answer. Given a string r e {0, 1}", let rev denote the string in {0, 1}" obtained (Ь) from z by reversing the ordering of the bits of r. (e.g., the first bit of z becomes the last bit of ae, etc.) How many strings r E {0, 1}" satisfy ae = x? Justify your answer. (c) a and f(r) # 2v for all r E {0, 1}"? Justify your answer. How many functions f: (0, 1}"{0, 1}" are there that satisfy f(r) #

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

3

4.
Let n be a positive even integer.
How many functions f: {0, 1}" {0,1}" are there that satisfy f(r)
(a)
a for all a E {0, 1}"? Justify your answer.
(b)
from a by reversing the ordering of the bits of a. (e.g., the first bit of z becomes
the last bit of aev, etc.) How many strings r E {0, 1}" satisfy aev = r? Justify
Given a string a E {0, 1}", let zev denote the string in (0, 1}" obtained
your answer.
(c)
x and f(x) # arev for all r E {0, 1}"? Justify your answer.
How many functions f: {0, 1}"{0, 1}" are there that satisfy f(r) #
Transcribed Image Text:4. Let n be a positive even integer. How many functions f: {0, 1}" {0,1}" are there that satisfy f(r) (a) a for all a E {0, 1}"? Justify your answer. (b) from a by reversing the ordering of the bits of a. (e.g., the first bit of z becomes the last bit of aev, etc.) How many strings r E {0, 1}" satisfy aev = r? Justify Given a string a E {0, 1}", let zev denote the string in (0, 1}" obtained your answer. (c) x and f(x) # arev for all r E {0, 1}"? Justify your answer. How many functions f: {0, 1}"{0, 1}" are there that satisfy f(r) #
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Topological Sort
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education