In a virtual memory system, size of the virtual address is $32$-bit, size of the physical address is $30$-bit, page size is $4$ Kbyte and size of each page table entry is $32$-bit. The main memory is byte addressable. Which one of the following is the maximum number of bits that can be used for storing protection and other information in each page table entry?
- $2$
- $10$
- $12$
- $14$