Binary file processing

Write a C program that: 
 + Uses the C compiler to compile another C program, whose 
   name is provided on the command line.
 + Any error messages that the compiler produces should be
   displayed for the user to see as usual, and stored for 
   later viewing in a file called errors.txt. 
 + If there are no errors, your program should print "no 
   errors" and proceed to run the resulting executable.