Question

please answer

$5 UXIF map in the computer uses direct mapping Question 18 5 pts Suppose we have a byte-addressable computer using 2-way set associative mapping with 16-bit main memory addresses and 32 blocks of cache. Suppose also that each block contains 8 bytes. The size of the block offset field is bits, the bits. size of the set field is bits, and the size of the tag field is 5 pts Question 19 Suppose we have a byte-addressable computer using direct mapping with 16-bit main memory addresses and 32 blocks of cache, If each block contains 8 bytes, determine the size of the block field,

Answer 1

Solution:

(18)

Given,

=>Byte-addressable computer.

=>2-way set associative cache memory.

=>16-bit main memory

=>Number of blocks in the cache = 32 blocks

=>Block size of each block = 8 bytes

Explanation:

Set associative cache:

Tag

Set index

Block offset

9 bits            4 bits                                        3 bits

Calculating size of block offset field:

=>Number of bits required for block offset field = log₂(Block size)

=>Number of bits required for block offset field = log₂(8 B)

=>Number of bits required for block offset field = 3 bits

=>Hence size of block offset filed = 3 bits

Calculating size of set field:

=>Number of sets in the cache memory = number of blocks in the cache/N-way

=>Number of sets in the cache memory = 32/2

=>Number of sets in the cache memory = 16 sets

=>Number of bits required for set index fields = log₂(Number of sets)

=>Number of bits required for set index fields = log₂(16)

=>Number of bits required for set index fields = 4 bits

=>Hence size of set field = 4 bits

Calculating size of tag field:

=>Number of bits required for tag field = Total bits - set field bits - offset field bits

=>Number of bits required for tag field = 16 - 4 - 3

=>Number of bits required for tag field = 9 bits

=>Hence size of tag field = 9 bits

I have explained each and every part of the first question only according to "Chegg guidelines when multiple questions are given then only first questions needs to be answered" with the help of statements attached to it.