2. Construct a table similar to the one above with m=5 bits. Assuming 3 bits are used for representing the fractional part, convert each binary sequence to its decimal equivalent. a. What is the smallest increment between any two decimal numbers on the list? b. Consider any number 'z' on your list and find the binary sequence for '2z'. Verify the left and right shift properties discussed above

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
Example: Assuming m-7 bits and using three of those bits for
representing the fractional part,
( 1100.000 )2
( 0110.000 )2
( 0011.000 )2
( 0001.100 )2
( 0000.110 )2
( 0000.011 )2
(12)10
%3D
(12)10 / 2
(6)10
(6)10 /2
(3)10
(3)10 /2
(1.5)10
(1.5)10 / 2 (0.75)10
(0.75)10 / 2 (0.375)10
In this case, each successive division by two has shifted the
binary sequence to the right by one bit.
Transcribed Image Text:Example: Assuming m-7 bits and using three of those bits for representing the fractional part, ( 1100.000 )2 ( 0110.000 )2 ( 0011.000 )2 ( 0001.100 )2 ( 0000.110 )2 ( 0000.011 )2 (12)10 %3D (12)10 / 2 (6)10 (6)10 /2 (3)10 (3)10 /2 (1.5)10 (1.5)10 / 2 (0.75)10 (0.75)10 / 2 (0.375)10 In this case, each successive division by two has shifted the binary sequence to the right by one bit.
2. Construct a table similar to the one above with m=5 bits.
Assuming 3 bits are used for representing the fractional
part, convert each binary sequence to its decimal
equivalent.
a. What is the smallest increment between any two
decimal numbers on the list?
b. Consider any number 'z' on your list and find the
binary sequence for '2z'. Verify the left and right
shift properties discussed above.
Transcribed Image Text:2. Construct a table similar to the one above with m=5 bits. Assuming 3 bits are used for representing the fractional part, convert each binary sequence to its decimal equivalent. a. What is the smallest increment between any two decimal numbers on the list? b. Consider any number 'z' on your list and find the binary sequence for '2z'. Verify the left and right shift properties discussed above.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hash Table
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