Suppose we have a microcontroller with a $4-$bit architecture using $2$s complement number representation. Our program status register is also $4$ bits and has the following flags: Zero, Negative, Carry, and Overflow. We have three $4-$bit numbers X$=5,$ Y$=-3,$ and W is the largest positive number we can represent.

What are X$,$ Y$,$ and W in $4-$bits?

Group of answer choices

a$.$ X$=0101,$ Y$=1101,$ W$=1111$

b$.$ X$=0101,$ Y$=1101,$ W$=0000$

c$.$ X$=0101,$ Y$=1101,$ W$=0111$

d$.$ None of the above

Flag question: Question $24$

Question $241$ pts

The result of X $+$ Y is

Group of answer choices

a$.0010$ with only the Carry Flag set

b$.0010$ with the Carry and Overflow Flags set

c$.1010$ with only the Carry Flag set

d$.$ None of the above