Question $2[26]$

$2\mathrm{.}1.$ Convert $3\mathrm{.}1415$ to $Q7\mathrm{.}8$ format and indicate the error.

$[5]$

$2\mathrm{.}2.$ Convert the following to IEEE $754$ Single Precision Floating Point format

$2\mathrm{.}2\mathrm{.}1.{171\mathrm{.}625}_{10}$

$[5]$

$2\mathrm{.}2\mathrm{.}2.-{1\mathrm{.}1111001}_2$

$2\mathrm{.}3.$ Complete the following arithmetic operations in two's complement representations assuming a $6-$bit system. What is the value of the Carry Flag and the Overflow flag

$2\mathrm{.}3\mathrm{.}1.{21}_{10}(-3{)}_{10}$

$2\mathrm{.}3\mathrm{.}2.{1100}_2-{0111}_2$

$2\mathrm{.}4.$ How many bytes of stack are needed to pass arguments when the following function is called?

$2\mathrm{.}4\mathrm{.}1.$ int ${32}_t$ fun$2($uint$8\_$t a$,$ uint$32\_$t b$,$ uint$64\_$tc$,$ uint$8\_$t d$,$ uint$32\_$t e$)$

$[2]$

$2\mathrm{.}5.$ To check for the signed greater or equal $($GE$)$ condition, we evaluate whether the negative flag is equal to the overflow flag. If they are equal, then GE condition is true. Explain the reasons why this works

$[4]$

Question $3[14]$

$3\mathrm{.}1.$ What is the bit band alias address of the $7$ th $($seventh$)$ bit of memory location $040000200?$

$[4]$

$3\mathrm{.}2.$ Assuming that $SP$ is initially loaded with the memory address $000402420,$ what is its value after executing the instruction POP $\{r1,r3,r6,PC\}?$

$4$

$3\mathrm{.}3.$ To preserve the processor runtime environment during function call, which registers must the callee preserve

$[2]$

$3\mathrm{.}4.$ LSL $($Logical Shift Left$)$ and LSR $($Logical Shift Right$)$ can speed up some special multiplication and division because it runs faster than MUL and DIV instructions. Use LSL and LSR to implement the following $C$ statement in Assembly instruction assuming $r0=x,r1=y$ and $r2$ is for constants

$3\mathrm{.}4\mathrm{.}1x=33**x$

$3\mathrm{.}4\mathrm{.}2y=\frac{x}{32}+5$