$16.$A computer has $1$ MB RAM and has a word size of $16$ bits. It has cache memory having $8$ blocks having a block size of $32$ bits. Show how the main memory address $00011001111011010001$ will be mapped to cache address, if:

a$)$Direct cache mapping is used

b$)$Associative cache mapping is use

c$)$Two way set associative cache mapping is used.