A computer has a 512 KByte, 8-way set associative, write back data cache with block size of 32 Bytes. The processor sends 32 bit addresses to the cache controller. Each cache tag directory entry contains, in addition to address tag, 2 valid bits, 1 modified bit and 1 replacement bit.

Identify number of bits in the:

tag field

set offset

byte offset

How did you arrive at your answer? Give the steps.