Suppose a computer using fully associative cache and a has a byte$-$addressable $24-$bit main memory and a cache of $128$ blocks, where each cache block contains $64$ bytes.

Select four answers below for the following questions:

$1)$ How many blocks of main memory are there?

$2)$ What is the size $($in the decimal number of bits$)$ of the Offset field?

$3)$ What is the size $($in the decimal number of bits$)$ of the Tag field?

$4)$ To which cache block the memory address $0$xABC$12$D maps to$?$

Select $4$ correct answer$($s$)$

Question $8$ options:

number of blocks in the main memory $=2^20$

number of blocks in the main memory $=2^18$

number of blocks in the main memory $=2^16$

Offset field size $($in bits$)=6$

Offset field size $($in bits$)=8$

Offset field size $($in bits$)=7$

Tag field size $($in bits$)=16$

Tag field size $($in bits$)=20$

Tag field size $($in bits$)=18$

to block number $0$xAB

to any block

to no block