Problem $0(30$ points$)$

Find $x$ and $y$ in the following equations.

i$.,(1001001110{)}_2=x_{16}$

ii$.(A0A123{)}_{16}=y_2$

iii. $EF4D_{16}-{10011001}_2+x_2=AA0BB0C{C}_{16}$

Problem $1(30$ points$)$

Figure $1$ shows a section of a $C$ program running on an ARM Cortex$-$M processor. Determine the final

hexadecimal values of variables $a,b,c,$ and $d.$

Figure $1.$ A section of a $C$ program running on an ARM Cortex$-$M processor

Problem $2(40$ points$)$

Given $A=11000011,B=02,$ and $C=-14,$ compute the following expressions in binary on an $8-$bit

microcontroller, and find the carry $($C$)$ and overflow $($V$)$ flags for each case.

i$.A-B$

ii$.A+C$

iii. $\frac{A}{B}($quotient and remainder$)$

iv$.B^{**}C($Discuss the correctness of the product$)$