Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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MULTIPLE CHOICE TEST

(All Tests)

BINARY REPRESENTATION

(More on Binary Representation)

INTRO TO SCIENTIFIC COMPUTING

(More on Scientific Computing)


Pick the most appropriate answer.


Q1. (25)10=(?)2

  100110

  10011

  11001

  110010

 


Q2. (1101)2=(?)10

  3

  13

  15

  26

 


Q3. (25.375)10=(?.?)2

  100110.011
  11001.011

  10011.0011

  10011.110

 


Q4. Representing √2 in a fixed point register with 2 bits for the integer part and 3 bits for the fractional part gives a round off error of most nearly

  -0.085709

  0.0392

  0.1642

  0.2892



Q5. An engineer working for the Department of Defense is writing a program that transfers non-negative real numbers to integer format.  To avoid overflow problems, the maximum non-negative integer that can be represented in a 5-bit integer word is

  16
  31

  63

  64

 


Q6. For a numerically controlled machine, integers need to be stored in a memory location.  The minimum number of bits needed for an integer word to represent all integers between 0 and 1024 is

  8
  9
  10

  11

 


 

 

         Complete solution     

 

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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

 

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