Suppose you are sorting 16 million 64-bit integers with Radix sort. Suppose you are doing a Radix-2 sort, i.e. Binary sort. You have done four passes on the four most significant bits. How many different combinations of those first four bits are there, i.e. how many different values of a 4 bit number? Each number will end up in a group of numbers with the same first four bits. How many such groups will there be? About how many numbers will be in each group? (Hint: how many numbers are there? How many groups are they divided into?) Would it be fast to do a pass of Insertion sort on the numbers after four passes of Radix-2 sort? OYes ONo Suppose instead you do three passes of Radix-256 sort, i.e. sorting by byte columns, so that the 3 most significant bytes are sorted. About how many numbers will be in each group? Would it be fast to do a pass of Insertion sort on the numbers after three passes of Radix-8 sort? OYes ONo If you number the bytes of a 64-bit integer 1 through 8, with 1 being the most significant byte, and if you do 3 passes of LSD Radix-256 sort followed by a insertion sort, what column (byte) would you sort by first (1.8)?
Suppose you are sorting 16 million 64-bit integers with Radix sort. Suppose you are doing a Radix-2 sort, i.e. Binary sort. You have done four passes on the four most significant bits. How many different combinations of those first four bits are there, i.e. how many different values of a 4 bit number? Each number will end up in a group of numbers with the same first four bits. How many such groups will there be? About how many numbers will be in each group? (Hint: how many numbers are there? How many groups are they divided into?) Would it be fast to do a pass of Insertion sort on the numbers after four passes of Radix-2 sort? OYes ONo Suppose instead you do three passes of Radix-256 sort, i.e. sorting by byte columns, so that the 3 most significant bytes are sorted. About how many numbers will be in each group? Would it be fast to do a pass of Insertion sort on the numbers after three passes of Radix-8 sort? OYes ONo If you number the bytes of a 64-bit integer 1 through 8, with 1 being the most significant byte, and if you do 3 passes of LSD Radix-256 sort followed by a insertion sort, what column (byte) would you sort by first (1.8)?
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
Related questions
Question
Please this is one question
![**Educational Content: Understanding Radix Sort**
Consider sorting 16 million 64-bit integers using Radix sort.
**Radix-2 Sort (Binary Sort) Explanation:**
When performing a Radix-2 sort, or Binary sort, four passes are made on the four most significant bits.
1. **Combinations of 4 Bits:**
- Question: How many different combinations of the first four bits exist, i.e., how many different values can a 4-bit number represent?
- [Answer Box]
2. **Grouping by First Four Bits:**
- Each number groups with others sharing the same first four bits.
- Question: How many such groups are there?
- [Answer Box]
3. **Numbers in Each Group:**
- Consider the total numbers and groups.
- Question: About how many numbers will be in each group?
- [Answer Box]
4. **Insertion Sort Efficiency:**
- Question: Would insertion sort be fast after four passes of Radix-2 sort?
- Options:
- ☐ Yes
- ☐ No
**Radix-256 Sort Explanation:**
Switching to a Radix-256 sort involves sorting by byte columns, affecting the 3 most significant bytes.
1. **Number Distribution in Groups:**
- Question: When sorted by the top 3 bytes, how many numbers are in each group approximately?
- [Answer Box]
2. **Efficiency of Insertion Sort Post Radix-8 Sort:**
- Question: Is insertion sort efficient after three passes of Radix-8 sort?
- Options:
- ☐ Yes
- ☐ No
3. **Column Sorting in LSD Radix-256 Sort:**
- Assuming bytes of a 64-bit integer are numbered from 1 to 8 (1 being the most significant), and after three LSD Radix-256 sort passes plus an insertion sort:
- Question: Which byte column should be sorted first?
- [Answer Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9134c255-a2be-4530-8da1-a6d66778d97d%2F3510aa99-83ef-4c67-8416-e3e6bf0c7e99%2Ftsmscgf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content: Understanding Radix Sort**
Consider sorting 16 million 64-bit integers using Radix sort.
**Radix-2 Sort (Binary Sort) Explanation:**
When performing a Radix-2 sort, or Binary sort, four passes are made on the four most significant bits.
1. **Combinations of 4 Bits:**
- Question: How many different combinations of the first four bits exist, i.e., how many different values can a 4-bit number represent?
- [Answer Box]
2. **Grouping by First Four Bits:**
- Each number groups with others sharing the same first four bits.
- Question: How many such groups are there?
- [Answer Box]
3. **Numbers in Each Group:**
- Consider the total numbers and groups.
- Question: About how many numbers will be in each group?
- [Answer Box]
4. **Insertion Sort Efficiency:**
- Question: Would insertion sort be fast after four passes of Radix-2 sort?
- Options:
- ☐ Yes
- ☐ No
**Radix-256 Sort Explanation:**
Switching to a Radix-256 sort involves sorting by byte columns, affecting the 3 most significant bytes.
1. **Number Distribution in Groups:**
- Question: When sorted by the top 3 bytes, how many numbers are in each group approximately?
- [Answer Box]
2. **Efficiency of Insertion Sort Post Radix-8 Sort:**
- Question: Is insertion sort efficient after three passes of Radix-8 sort?
- Options:
- ☐ Yes
- ☐ No
3. **Column Sorting in LSD Radix-256 Sort:**
- Assuming bytes of a 64-bit integer are numbered from 1 to 8 (1 being the most significant), and after three LSD Radix-256 sort passes plus an insertion sort:
- Question: Which byte column should be sorted first?
- [Answer Box]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
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)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
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)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education