$====================================================================$Please don't just use Chat$-$GPT answers, also for $2$ way set associative it should have $5$ sets $(0-4$ sets$).$ Please don't just copy from the internet.

Consider the following series of word address references.

$1,4,8,5,20,17,19,55,11,9,43,4,6,5,9,17,23,20,43$

Assume that the capacity of a cache system is $10$ words with one word per block.

$($a$)$ Compare direct$-$mapped and $2-$way set associative placement policies in terms of the

number of hits. Assume that the $2-$way set cache uses LRU replacement policy.

$($b$)$ Show the content of the $2-$way set associative cache with FIFO replacement policy after

processing the above memory references.