Consider a machine with a byte addressable main memory of

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Consider a machine with a byte addressable main memory of 2³² bytes divided into blocks of size 32 bytes. Assume that a direct mapped cache having 512 cache lines is used with this machine. The size of the tag field in bits is ________.

1. 18
2. 54
3. 9
4. 21

Correct Option: A

As given that, The main memory size = 2³² byte
Block size = 32 byte
Direct Mapped Cache line = 512
Address Forment :

So, the size of the tag field (X) = (32 – (5 + 9)) = 18 bit. Hence, 18 bits is correct answer.