__Data:__

Main memory size (MM) = 232 B (32 bit address)

Cache Memory Size (CS) = 2 KB = 211 B

Block Size (BO) = 64 B = 26

Tag = 22 bits

__Set Associative Mapped Cache:__

let 2^{x} - way set associative mapping

\(number~of~lines=\frac{{{2}^{11}}}{{{2}^{6}}}={{2}^{5}}\)

\(number~of~sets=\frac{{{2}^{5}}}{2^x}={{2}^{5-x}}\)

**Formula:** To find number of bits in tag in set associative mapping

MM = tag + set + BO

32 = 22 + 5 - x + 6

∴ x = 1

Therefore it is 21 - way set associative mapping

The associativity of the cache is 2.