CSE 201 - Homework 3

Read Section 2.14 in Chapter 2 and Sections 3.1-3.5 in Chapter 3 in the textbook, and then answer the following questions.

  1. Given the following declarations, evaluate each of the Boolean expressions below.
    2.     boolean x = false, y = true, z = false;

    1. x && y
    2. y || z
    3. x || y || !z
    4. (x || y) && (y || z)
    5. (!(y || z)) || x
    6. z && x && y
    7. (!y) || (z || !x)
    8. z || (x && (y || z))
    
       
  2. Given the following declarations, write a Boolean expression
           for each of the problems listed below.
    3. 


        boolean x, y, z;
    int i, j, k;

    

          
      
             
    1. Write a Boolean expression that is true if and only
                 if either x or y is true but not both
      2. 
             
      
             
    2. Write a Boolean expression that is true if and only
                 if x is true and y is false
      3. 
             
      
             
    3. Write a Boolean expression that is true if and only
                 if i has a value between -3 and 7 (excluding -3 and 7)
      4. 
             
      
             
    4. Write a Boolean expression that is true if and only
                 if i is an odd number
      5. 
             
      
             
    5. Write a Boolean expression that is true if and only
                 if the sum of i and j is equal to twice the value of k
      6. 
             
      
             
    6. Write a Boolean expression that is true if and only
                 if i, j, and k all have distinct values
      7. 
          
    
       
    
       
  3. For each of the following program segments, write the output
           produced.
    4. 
          
      
             
    1. 

      int x = 12, y = -7, z = 0, a;
if (x > y) {
  if (x > z) {
    a = x;
  }
  else {
    a = z;
  }
}
else {
  if (y > z) {
    a = y;
  }
  else {
    a = z;
  }
}
System.out.println(a);

      
             
      2. 
             
    2. 

      int number = 45;
if (number < 10) {
  System.out.println("what");
}
else if (number < 50) {
  System.out.println("will");
}
else if (number < 100) {
  System.out.println("this");
}
else {
  System.out.println("print");
}

      
             
      3. 
             
    3. 

      int x = 12, y = -7, z = 0;
if (x > y) {
  int t = x;
  x = y;
  y = t;
}
if (x > z) {
  int t = x;
  x = z;
  z = t;
}
if (y > z) {
  int t = y;
  y = z;
  z = t;
}
System.out.println(x + "," + y + "," + z);

      
             
      4. 
          
    
       
    
       
  4. For each of the following questions, write a code segment that
           solves the given problem.
    5. 
          
    
          
      
             
    1. Write a program segment that translates a letter grade
                 into a number grade. Letter grades are A, B, C, D, E. Their
                 numeric values are 4, 3, 2, 1, and 0, respectively. Assume
                 that the letter grade is in a variable of type char
                 called letterGrade. The program segment should
                 assign the corresponding number grade to a variable of type
                 int called numberGrade.
             
      2. 
             
      
             
    2. Write a program segment that decides whether a given year
                 is a leap year or not. A year is a leap year if it is
                 divisible by 4, except for the case when it is also
                 divisible by 100 and not by 400 hundred. So, for example, 1999
                 is not a leap year because it is not divisible by 4; 2000 is
                 a leap year because it is divisible by 4 and although it is
                 divisible by 100, it is also divisible by 400; 1900 however,
                 is not a leap year because it is divisible by 100 and not by
                 400. Finally, 2004 is a leap year because it is divisible 
                 by 4 and not by 100.
                 
      Assume that the year is stored in a variable
                 of type int called year. The program segment
                 should print to the screen "leap year" if the year stored
                 in year is a leap year, or print "not leap year" if
                 it is not a leap year.
             
      3.