Assignment 01b - Number Systems

pdf

School

University of Texas *

*We aren’t endorsed by this school

Course

311K

Subject

Computer Science

Date

Feb 20, 2024

Type

pdf

Pages

Uploaded by MegaEnergy11514

Crystal Zimmermann Assignment 01b - Number Systems 1. Given the binary number 001101101110001112 (i.e., in base 2). a. What is this number in decimal – in base 10? In decimal (base 10): 1405 b. What is this number in hexadecimal – in base 16? In hexadecimal (base 16): 36E3 2. Given the binary number 1101101111101002 (i.e., in base 2). a. What is this number in decimal – in base 10? In decimal (base 10): 28148 b. What is this number in hexadecimal – in base 16? In hexadecimal (base 16): 6DF4 3. Given the decimal number 23510 (i.e., in base 10). a. What is this number in binary – in base 2? In binary (base 2): 11101011 b. What is this number in hexadecimal – in base 16? In hexadecimal (base 16): EB 4. Given the decimal number 66410 (i.e., in base 10). a. What is this number in binary – in base 2? In binary (base 2): 1010011000 b. What is this number in hexadecimal – in base 16? In hexadecimal (base 16): 298 5. Given the hexadecimal number 23516 (i.e., in base 16). a. What is this number in binary – in base 2? In binary (base 2): 1000110101 b. What is this number in decimal – in base 10? In decimal (base 10): 565 6. Given the hexadecimal number 1BC16 (i.e., in base 16).

a. What is this number in binary – in base 2? In binary (base 2): 110111100 b. What is this number in decimal – in base 10? In decimal (base 10): 444 7. Given the binary number 0.011011012 (i.e., in base 2). a. What is this number in decimal – in base 10? In decimal (base 10): 0.42578125 b. What is this number in hexadecimal – in base 16? In hexadecimal (base 16): The direct conversion gives the integer part as 0. 8. Given the binary number 1101.1011112 (i.e., in base 2). a. What is this number in decimal – in base 10? In decimal (base 10): 13.734375 b. What is this number in hexadecimal – in base 16? In hexadecimal (base 16): D for the integer part. 9. Given the decimal number 0.23510 (i.e., in base 10). a. What is the closest number in binary – in base 2, using at most 23 bits (0’s or 1’s) as in the most allowed, for the mantissa in single precision? (You may use EXCEL for this.) Closest number in binary (base 2) using at most 23 bits: 00111100001010001111010 b. What is the closest number in hexadecimal – in base 16, using at most 6 characters? Closest number in hexadecimal (base 16) using at most 6 characters: 3C28F5 10. Given the decimal number 0.7812510 (i.e., in base 10). a. What is the closest number in binary – in base 2, using at most 23 bits (0’s or 1’s) as in the most allowed for the mantissa in single precision? (You may use EXCEL for this.)

Closest number in binary (base 2) using at most 23 bits: 11001 b. What is the closest number in hexadecimal – in base 16, using at most 6 characters? Closest number in hexadecimal (base 16) using at most 6 characters: 190000 11. Given the hexadecimal number 0.23516 (i.e., in base 16). a. What is this number in binary – in base 2? In binary (base 2): 001000110101 b. What is this number in decimal – in base 10? In decimal (base 10): 0.137939453125 12. Given the hexadecimal number 0.1A316 (i.e., in base 16). a. What is this number in binary – in base 2? In binary (base 2): 000110100011 b. What is this number in decimal – in base 10? In decimal (base 10): 0.102294921875

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

Related Documents

NoSQL_quiz.pdf

Hadoop MapReduce.pdf

Quiz # 2 - Psychodynamic.html

ISSC456_Week4_Project_Paper_Outline_Ocasio_Miguel.doc

ITMG281 Outline.docx

Quiz 3 - Summer_ 23SU ISQA3310-850_Managing Database Environment.pdf

Week 5 domain 3 and 4 reflection.docx

Danyelle TASCCEC.docx

sample_final_solutions.pdf

sample_final.pdf

CSCI 2600 Homework 2.pdf

CS5002 Spring 2024 - Homework 4 DRAFT RUBRIC.docx

Recommended textbooks for you

Systems Architecture

Computer Science

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Cengage Learning

C++ Programming: From Problem Analysis to Program...

Computer Science

ISBN:9781337102087

Author:D. S. Malik

Publisher:Cengage Learning

C++ for Engineers and Scientists

Computer Science

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Course Technology Ptr

Np Ms Office 365/Excel 2016 I Ntermed

Computer Science

ISBN:9781337508841

Author:Carey

Publisher:Cengage

Principles of Information Systems (MindTap Course...

Computer Science

ISBN:9781285867168

Author:Ralph Stair, George Reynolds

Publisher:Cengage Learning

Enhanced Discovering Computers 2017 (Shelly Cashm...

Computer Science

ISBN:9781305657458

Author:Misty E. Vermaat, Susan L. Sebok, Steven M. Freund, Mark Frydenberg, Jennifer T. Campbell

Publisher:Cengage Learning

SEE MORE TEXTBOOKS

Recommended textbooks for you

Systems Architecture
Computer Science
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Cengage Learning
C++ Programming: From Problem Analysis to Program...
Computer Science
ISBN:9781337102087
Author:D. S. Malik
Publisher:Cengage Learning
C++ for Engineers and Scientists
Computer Science
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Course Technology Ptr
Np Ms Office 365/Excel 2016 I Ntermed
Computer Science
ISBN:9781337508841
Author:Carey
Publisher:Cengage
Principles of Information Systems (MindTap Course...
Computer Science
ISBN:9781285867168
Author:Ralph Stair, George Reynolds
Publisher:Cengage Learning
Enhanced Discovering Computers 2017 (Shelly Cashm...
Computer Science
ISBN:9781305657458
Author:Misty E. Vermaat, Susan L. Sebok, Steven M. Freund, Mark Frydenberg, Jennifer T. Campbell
Publisher:Cengage Learning