Problem 1: (Decimal to hex) Write a program that converts a nonnegative decimal number into a hexadecimal number. The input and output should be exactly: Enter a decimal number; [USER ENTERS A NONNEGATIVE INTEGER] Your number in hex is 0xxx For example, an input of 4095 should produce the output Your number in hex is 0xFFF. You may not use any libraries aside from iostream and string. You may not use the dec, hex, or oct format flags provided by the iostream library. You may not use the stoi, stol, stoul, stoll, stoull, stof, stod, and stold functions provided by the string library Hint. Consider the following code. int i = 15; char c - static_cast (i-10+'A); string s = string(1,c); //convert char into a string of ength 1 cout s endl; The output is F