$2)$ This exercise examines the effect of different cache designs, specifically comparing associative caches to the direct$-$mapped caches from Section $5\mathrm{.}4.$ For these exercises, refer to the sequence of word address shown below.

$0$x$03,0$xb$4,0$x$2$b$,0$x$02,0$xbe, $0$x$58,0$xbf$,0$x$0$e$,0$x$1$f$,0$xb$5,0$xbf$,0$xba, $0$x$2$e$,0$xce

a$)$Sketch the organization of a three$-$way set associative cache with two$-$word blocks and a total size of $48$ words. Your sketch should have a style similar to Figure $5\mathrm{.}18,$ but clearly show the width of the tag and data fields.

c$)$Sketch the organization of a fully associative cache with one$-$word blocks and a total size of eight words. Your sketch should have a similar style to Figure $5\mathrm{.}18,$ but clearly show the width of the tag and data fields.

e$)$Sketch the organization of a fully associative cache with two$-$world blocks and a total size of eight words. Your sketch should have a style similar to Figure $5\mathrm{.}18,$ but clearly show the width of the tag and data fields.