Gate2019 cs Q43

43Assume that in a certain computer, the virtual addresses are 64 bits long and the physical addresses are 48 bits long. The memory is word addressible. The page size is 8 kB and the word size is 4 bytes. The Translation Look-aside Buffer (TLB) in the address translation path has 128 valid entries. At most how many distinct virtual addresses can be translated without any TLB miss?

Option : B
Explanation :
1 word = 4 bytes
Page size = 8 kB = 213 B
Number of words in 1 page = 2¹³/2² = 2¹¹
TLB can hold 128 valid entries so, at most 128 × 2¹¹ memory address can be addressed without TLB miss.
128 × 2¹¹ = 256 × 210

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