A C program declares three variables x$,$ y$,$ z$,$ in that order. The first two are $16-$

bit integers, and the third a $32-$bit floating point value stored in IEEE $754$

representation. The variable x $=16896,$ and y $=817.$ Figure Q$1$a is a memory

dump of the area used to store data.

ss: $0$FF$0310342000331$ FC CF

ss: $0$FF$8$ CF $3103$ CF FC $110042$

ss: $10000000$ CF $42$ CF FC $0042$

ss: $100800$ CF CF $0042413031$

Figure Q$1$a

i$)$ State the memory locations in which x and y are stored. $[4]$

ii$)$ Calculate the value of z$,$ showing your working at each stage of the

analysis. $[8]$

iii$)$ What is special about the number represented by $0$x$807$fffff in IEEE

$754$ representation when performing floating point calculations, and

why would this be important when calculating distances in satellite

positioning