CS99 Fall 2001
Sample Problems

1. Add one to square root of 4.
2. Find the ASCII characters whose integer codes correspond to the integers 
   from 10 to 15.
3. Generate a random number between 5 and 6
4. Enter a string without having to use ''
5. Find the remainder of 17/13.
6. Assign 1 to x.
   Unassign x.
   Check the value of x.
7. Clear up the screen and display 'Hello, World!'
8. What are the outputs for the following expressions?
   1==1 & 2==2
   1>2 | 1<2
   xor(1<2, 1<3)
9. In the Gregorian calendar, leap years are determined by the following 
   rules:
   1) Years evenly divisble by 400 are leap years
   2) Years evenly divisible by 100 but not by 400 are not leap years
   3) all years divisible by 4 but not by 100 are leap years
   4) all other years are not leap years
   Write a program that prompts the user to enter a year and check if
   it is a leap year according the above rules. Report the result.
10.Write a program to read in a numerical grade and assign a letter 
   grade to it according to the following rules:
   1)      grade > 95  A
   2) 95>= grade > 86  B
   3) 86>= grade > 76  C
   4) 76>= grade > 66  D
   5) 66>= grade > 0   F
11.Write a program that asks the user for a name with 3 letters. Your
   program should store the name in a variable called $name$. The 
   program should output whether the name that the user typed in is:
   in upper case (e.g. TOM), or 
   in lower case (e.g. tom), or 
   in title case (e.g. Tom), or 
   in messy case, which is non of the above (e.g. ToM, TOm, tOm, ...). 
 
    Some help on how to deal with strings:
    Imagine you have a string assigned to a variable, e.g. 
    var='Jen'
    There is a Matlab function called $double$ that converts a string 
    into an array of numbers where each number represents the position 
    of the according letter in the table of ASCII values. Here is a small 
    portion of the table of ASCII values:

    letter       position            letter       position   
       A            65                  a            97
       B            66                  b            98
       C            67                  c            99
       D            68                  d           100
       E            69                  e           101
       F            70                  f           102
          ...                              ...
          ...                              ...
       U            85                  u            
       V            86                  v           118
       W            87                  w           119
       X            88                  x           120
       Y            89                  y           121
       Z            90                  z           122

    If you typed name=double('Jen') in the Command Window then an array 
    containing 3 numbers: 74  101  110 would be stored in w.
    For simplicity, you can assume that any letter that is not uppercase
    (position 65 through 90) is lower case.