the memory architecture of a machine x has the following characteristics: virtual address 54 bits; page size 16 k bytes; pte size 4 bytes. assume that there are 8 bits reserved for the operating system functions (protection, replacement, valid, modified, and hit/miss- all overhead bits) other than required by the hardware translation algorithm. derive the largest physical memory size (in bytes) allowed by this pte format. make sure you consider all the fields required by the translation algorithm