Name (PRINTED):

Student ID #:

Section # (or TA's:
name and time)  

CMSC 250 Quiz #2 Monday, Sept. 17, 2001

Write all answers legibly in the space provided. The number of points possible for each question is indicated in square brackets - the total number of points on the quiz is 30, and you will have exactly 15 minutes to complete this quiz. You may not use calculators, textbooks or any other aids during this quiz.
  1. [10 pnts.] Use a COMPLETE Truth Table to determine if the following is a valid argument. Make an indication on the truth table telling how you know if it is Valid or Invalid.

    $\sim r \vee q$
    $ p \rightarrow r $
    $ q \rightarrow r$
    $ --------------$
    therefore $\sim ( p \wedge q )$
     
    Circle One: Valid Invalid
     

  2. [8 pnts.] Draw the simplest diagram (fewest number of gates) which will represent the expression given by the following truth table.
    Write the Logic Expression corresponding to this truth table:

    p q r Output
    1 1 1 0
    1 1 0 0
    1 0 1 0
    1 0 0 0
    0 1 1 1
    0 1 0 1
    0 0 1 0
    0 0 0 1

    $\downarrow$ TURN OVER $\downarrow$

  3. [12 pnts.] Use the handout of the ``Logical Equivalence Rules'' and the ``Rules of Inference'' to prove the following. It is a Valid Argument - you need to prove it without using a truth table.

    P1 $\sim (q \vee \sim p) $
    P2 $ \sim z \rightarrow \sim s$
    P3 $(p \wedge \sim q) \rightarrow s$
    P4 $ \sim z \vee r $
      $ --------------$
      therefore $r$

    Line # Logical Statement Name of Rule Line Numbers Used
    1      
           
    2      
           
    3      
           
    4      
           
    5      
           
    6      
           
    7      
           
    8      
           
    9      
           
    10      
           
    11      
           
    12      
           
    13      
           
    14      
           
    15      
           
    16      
           
    17      
           

About this document ...

This document was generated using the LaTeX2HTML translator Version 99.1 release (March 30, 1999)

Copyright © 1993, 1994, 1995, 1996, Nikos Drakos, Computer Based Learning Unit, University of Leeds.
Copyright © 1997, 1998, 1999, Ross Moore, Mathematics Department, Macquarie University, Sydney.

The command line arguments were:
latex2html -show_section_numbers -split 0 -no_navigation -no_footnode quiz2

The translation was initiated by John Arras on 2001-10-10

John Arras
2001-10-10