Question

consider a logical address space of 64 pages of 1,024 words each, mapped onto a physical memory of 32 frames. a. how many bits are there in the logical address? b. how many bits are there in the physical address?

Answer 1

The logical address will have 16 bits and the physical address will have 15 bits.

Explanation :

a) Logical memory = 64 pages

= 2⁶ pages

size of each word = 1024 = 2¹⁰

Hence total logical memory = 2⁶ x 2¹⁰ = 2¹⁶

Hence the logical address will have 16 bits.

b) Physical memory = 32 frames

= 2⁵ frames

size of each word = 1024 = 2¹⁰

Hence total physical size = 2⁵ x 2¹⁰ = 2¹⁵

Hence there will be 15 bits in the physical address