it means the the number is expressed in hex , base 16 instead of decimal, based 10. For your example it makes no difference
uint32_t Mask = 0x00000003;
since 3 is 3 in both bases
but
uint32_t Mask = 0x00000010; // '16' in human talk
is quite different from
uint32_t Mask = 10; // '10' in human talk
Note that
uint32_t Mask = 00000010;
is actually '8' in human talk because in c and c++ numeric literals starting with a zero are in octal (base 8)
You will see
uint32_t Mask = 0x00000003;
when expressing something where the value is a set of bit flags rather than a number (see the name 'mask') since hex maps nicely to a sequence of bits. You might see
uint32_t Mask1 = 0x00000003;
uint32_t Mask2 = 0x00000010;
uint32_t Mask3 = 0x000000C2;
The first one doesnt need 0x but it just looks cleaner