1
GATE CSE 2023
Numerical
+2
-0.67

An 8-way set associative cache of size 64 KB (1 KB = 1024 bytes) is used in a system with 32-bit address. The address is sub-divided into TAG, INDEX, and BLOCK OFFSET.

The number of bits in the TAG is __________.

2
GATE CSE 2021 Set 1
Numerical
+2
-0.67

Consider a computer system with a byte-addressable primary memory of size 232 bytes. Assume the computer system has a direct-mapped cache of size 32 KB (1 KB = 210 bytes), and each cache block is of size 64 bytes.

The size of the tag field is ______ bits.

3
GATE CSE 2020
+2
-0.67
A computer system with a word length of 32 bits has a 16 MB byte-addressable main memory and a 64 KB, 4-way set associative cache memory with a block size of 256 bytes. Consider the following four physical addresses represented in hexadecimal notation.

A1 = 0x42C8A4, A2 = 0x546888, A3 = 0x6A289C, A4 = 0x5E4880

Which one of the following is TRUE?
A
A1 and A4 are mapped to different cache sets.
B
A1 and A3 are mapped to the same cache set.
C
A3 and A4 are mapped to the same cache set.
D
A2 and A3 are mapped to the same cache set.
4
GATE CSE 2018
+2
-0.6
The size of the physical address space of a processor is $${2^P}$$ bytes. The word length is $${2^W}$$ bytes. The capacity of cache memory is $${2^N}$$ bytes. The size of each cache block is $${2^M}$$ words. For a $$K$$-way set-associative cache memory, the length (in number of bits) of the tag field is
A
$$P - N - lo{g_2}K$$
B
$$P - N + lo{g_2}K$$
C
$$P - N - M - W - lo{g_2}\,\,K$$
D
$$P - N - M - W + lo{g_2}\,\,K$$
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