(a) What is Emachine in decimal? (b) How many digits of precision can you expect, at best? (c) What rounding error would you expect on the computation 106 ÷ 3?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
Problem 3. Suppose you designed a 128-bit floating-point number system with 108 bits for the mantissa, 19
bits for the exponent, and 1 bit for the sign. For this number system, answer the following, giving answers in
decimal. Your answers for (d) and (e) don't have to be exact, just the right order of magnitude.
(a) What is Emachine in decimal?
(b) How many digits of precision can you expect, at best?
(c) What rounding error would you expect on the computation 106 ÷ 3?
(d) What is the largest number in this system, roughly, not counting ?
(e) What is the smallest positive number in this system, roughly?
Transcribed Image Text:Problem 3. Suppose you designed a 128-bit floating-point number system with 108 bits for the mantissa, 19 bits for the exponent, and 1 bit for the sign. For this number system, answer the following, giving answers in decimal. Your answers for (d) and (e) don't have to be exact, just the right order of magnitude. (a) What is Emachine in decimal? (b) How many digits of precision can you expect, at best? (c) What rounding error would you expect on the computation 106 ÷ 3? (d) What is the largest number in this system, roughly, not counting ? (e) What is the smallest positive number in this system, roughly?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY