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### GATE CSE 2014 Set 3

Numerical
The memory access time is $$1$$ nanosecond for a read operation with a hit in cache, $$5$$ nanoseconds for a read operation with a miss in cache, $$2$$ nanoseconds for a write operation with a hit in cache and $$10$$ nanoseconds for a write operation with a miss in cache. Execution of a sequence of instructions involves $$100$$ instruction fetch operations, $$60$$ memory operand read operations and $$40$$ memory operand write operations. The cache hit-ratio is $$0.9.$$ The average memory access time (in nanoseconds) in executing the sequence of instructions is___________________.

2

### GATE CSE 2014 Set 2

If the associativity of a processor cache is doubled while keeping the capacity and block size unchanged, which one of the following is guaranteed to be NOT affected?
A
Width of tag comparator
B
Width of set index decoder
C
Width of way selection multiplexor
D
Width of processor to main memory data bus
3

### GATE CSE 2014 Set 2

In designing a computer’s cache system, the cache block (or cache line) size is an important parameter. Which one of the following statements is correct in this context?
A
A smaller block size implies better spatial locality
B
A smaller block size implies a smaller cache tag and hence lower cache tag overhead
C
A smaller block size implies a larger cache tag and hence lower cache hit time
D
A smaller block size incurs a lower cache miss penalty
4

### GATE CSE 2014 Set 2

Numerical
A $$4$$-way set-associative cache memory unit with a capacity of $$16KB$$ is built using a block size of $$8$$ words. The word length is $$32$$ bits. The size of the physical address space is $$4$$ $$GB.$$ The number of bit for the TAG field is ____________.

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