Introduction to Computing Systems: From Bits & Gates to C & Beyond
3rd Edition
ISBN: 9781260424751
Author: PATT, Yale
Publisher: MCGRAW-HILL HIGHER EDUCATION
expand_more
expand_more
format_list_bulleted
Question
Chapter 2, Problem 10E
a.
Program Plan Intro
Steps to convert binary number into decimal value:
- If “0” is appeared in the Left most Significant Bit (LSB), it denotes the sign of the decimal value is positive. Binary number can be directly converted into decimal number.
- The sign of the decimal value is negative, if the LSB is one.
- If “1” is appeared in the LSB, compute 2’s complement of the decimal value.
- To find 2’s complement, transform the bits from “0” to “1” and from “1” to “0”, which gives 1’s complement and then add “1” to the result.
- Decimal value can be obtained by adding the powers of “2”, which having the coefficients “1”.
- The user includes a minus sign in front of the decimal value, if the original number is negative.
b.
Explanation of Solution
Conversion from the binary number “01011010” to decimal value:
- The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.
- Hence, the user can directly compute the magnitude value as follows,
c.
Explanation of Solution
Conversion from the binary number “11111110” to decimal value:
- The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.
- The user should find the 2’s complement representation as follows,
- Find the 1’s complement by transforming the bits from “0” to “1” and from “1” to “0”.
- Hence, the 1’s complement of the number is ‘00000001”.
- Add “1” to the above result. “00000001+1”, which gives “00000010”.
- The 2’s complement representation of the positive number is “00000010”...
d.
Explanation of Solution
Conversion from the binary number “0011100111010011” to decimal value:
- The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.
- Hence, the user can directly compute the magnitude value as follows,
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Introduction to Computing Systems: From Bits & Gates to C & Beyond
Ch. 2 - Prob. 1ECh. 2 - Prob. 2ECh. 2 - Prob. 3ECh. 2 - Prob. 4ECh. 2 - Prob. 5ECh. 2 - Prob. 6ECh. 2 - Prob. 7ECh. 2 - Prob. 8ECh. 2 - Prob. 9ECh. 2 - Prob. 10E
Ch. 2 - Prob. 11ECh. 2 - Prob. 12ECh. 2 - Prob. 13ECh. 2 - Prob. 14ECh. 2 - Prob. 15ECh. 2 - Prob. 17ECh. 2 - Prob. 18ECh. 2 - Prob. 19ECh. 2 - Prob. 20ECh. 2 - Prob. 21ECh. 2 - Prob. 22ECh. 2 - Prob. 23ECh. 2 - Prob. 24ECh. 2 - Prob. 25ECh. 2 - Prob. 26ECh. 2 - Prob. 27ECh. 2 - When is the output of an AND operation equal to...Ch. 2 - Prob. 29ECh. 2 - Prob. 30ECh. 2 - When is the output of an OR operation equal to 1?
Ch. 2 - Prob. 32ECh. 2 - Prob. 33ECh. 2 - Prob. 34ECh. 2 - Prob. 35ECh. 2 - Prob. 36ECh. 2 - Prob. 37ECh. 2 - Prob. 38ECh. 2 - Prob. 39ECh. 2 - Prob. 40ECh. 2 - Prob. 41ECh. 2 - A computer programmer wrote a program that adds...Ch. 2 - Prob. 43ECh. 2 - Prob. 44ECh. 2 - Prob. 45ECh. 2 - Prob. 46ECh. 2 - Prob. 47ECh. 2 - Prob. 48ECh. 2 - Prob. 49ECh. 2 - Prob. 50ECh. 2 - Prob. 51ECh. 2 - Prob. 52ECh. 2 - Prob. 53ECh. 2 - Fill in the truth table for the equations given....Ch. 2 - Prob. 55ECh. 2 - Prob. 56E
Knowledge Booster
Recommended textbooks for you
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
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