I currently use gcc 4.6.3. My understanding is that gcc by default uses the gnu89 standard and I would like to enable C11, the latest
The correct option is -std=c11.
However, it is not available in gcc 4.6. You need at least gcc 4.7 to have this option supported. In some older versions like gcc 4.6, the option -std=c1x was available with experimental (i.e., very limited) support of C11.
Note that the current version of gcc is gcc 8.2.