GATE | Sudo GATE 2020 Mock I (27 December 2019) | Question 11
The size of the physical address space of a processor is 240 bytes. The capacity of cache memory is 512 Kbytes. The word length is 32 bytes. The size of each cache block is 16 words. For a 16-way set-associative cache memory, the length (in number of bits) of the tag field is _______________ .
Explanation: Given physical address space = 40 bits,
Cache memory size = 512 Kbytes = 219 bytes,
The word length is 32 bytes, and size of each cache block is 16 words. So, word offset is
Attention reader! Don’t stop learning now. Practice GATE exam well before the actual exam with the subject-wise and overall quizzes available in GATE Test Series Course.
Learn all GATE CS concepts with Free Live Classes on our youtube channel.
= 32*16 bytes = 512 bytes = 29 bytes
Line offset is,
= 219 bytes / 29 bytes = 210
So, set offset is,
= 210 / 16 = 210 / 24 = 26 = 6 bits
Hence, the length (in number of bits) of the tag field is,
= 40 - 6 - 9 = 25 bits
Option (D) is correct.
Quiz of this Question