Suppose in the IEEE single format, the width of the exponent field is 4, not 8, and the width of the fraction field is 6, not 23. What should the exponent bias be? (b) What is the machine epsilon of this system? (c) What are the smallest and largest positive normal floating point numbers in this system? (d) Can any integer number between the smallest and largest positive normal floating point numbers be stored exactly in this floating point system? Either prove it or give a counterexample. (e) What are the largest and smallest nonnegative subnormal floating point numbers in this system? (f) What are the two floating point numbers (neither is equal to 5) closest to 5? (g) Given number -(11.1001011) 2. Round it using the four rounding modes.
Suppose in the IEEE single format, the width of the exponent field is 4, not 8, and the width of the fraction field is 6, not 23. What should the exponent bias be? (b) What is the machine epsilon of this system? (c) What are the smallest and largest positive normal floating point numbers in this system? (d) Can any integer number between the smallest and largest positive normal floating point numbers be stored exactly in this floating point system? Either prove it or give a counterexample. (e) What are the largest and smallest nonnegative subnormal floating point numbers in this system? (f) What are the two floating point numbers (neither is equal to 5) closest to 5? (g) Given number -(11.1001011) 2. Round it using the four rounding modes.
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
No
Only d,e,f,g
Transcribed Image Text:Suppose in the IEEE single format, the width of the exponent field is 4, not 8, and the width of the fraction field is 6, not 23.
What should the exponent bias be?
(b)
What is the machine epsilon of this system?
(c)
What are the smallest and largest positive normal floating point numbers in this system?
(d)
Can any integer number between the smallest and largest positive normal floating point numbers be stored exactly in
this floating point system? Either prove it or give a counterexample.
(e)
What are the largest and smallest nonnegative subnormal floating point numbers in this system?
(f)
What are the two floating point numbers (neither is equal to 5) closest to 5?
(g)
Given number -(11.1001011) 2. Round it using the four rounding modes.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
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