Assume that in a certain computer, the virtual addresses are 64 bits long and the physical addresses are 48 bits long

Q. Assume 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?

(A) 16×2¹⁰

(B) 256×2¹⁰

(C) 4×2²⁰

(D) 8×2²⁰

Ans: 256×2¹⁰

Number of words in a page

= Page size / word size

= 8 KB / 4 B

= 2 K

= 2 * 210

Since TLB can hold 128 valid entries, therefore, TLB can translate

= 128 * number of words in page

= 128 * 2 * 210

= 256 * 210 addresses with TLB hit

So, option (D) is correct.