%x is only for printing unsigned int, however you supply a char.
Using %x with a negative value of char causes undefined behaviour.
Aside: The C Standard specification of printf is not particularly clear; some feel that passing anything except exactly an unsigned int causes undefined behaviour. Others (including myself) feel that it's OK to pass arguments that are not specifically unsigned int, but after the default argument promotions, have type int with a non-negative value. The standard does guarantee that non-negative ints have the same representation as the unsigned int with the same value.
Some of the other answers suggest %hhx, but that is not any better than %x. The standard (on a sensible interpretation) specifies that %hhx only be used with an unsigned char argument, and %hhd only be used with a signed char argument. There is actually no modifier for plain char.
Either way you look at it, nowhere can printf be used to convert negative values to positive representations in a well-defined manner. You must convert the argument yourself and then use a matching format specifier. In this case:
printf ("%hhx\n", (unsigned char)testchar);
would be one option. IMO %x could be used here, but as mentioned above, some disagree.
NB. The wrong format specifier is used in printf ("%d\n", sizeof(char)); and the line following that. The specifier for size_t is %zu. So you could either use %zu, or cast the argument to int, or even better:
printf("1\n");