Consider the hex strings A$=0$x$90417722270$afba$9$

and B$=0$x$845$ce$3$e$9$c$16960$ad

$.$

a$)$ What is A$$B

in hexadecimal? Please give your answer a leading $0$x and use lowercase letters only. Make sure you use exactly $16$ hex digits $($which may involve typing in leading zeros$).$

hexadecimal:

b$)$ Suppose that A

was generated uniformly at random from all $8$ byte strings. What is the probability that the second binary digit of A

is $1?$

c$)$ Suppose that A

was generated uniformly at random from all $8$ byte strings. What is the probability that the second binary digit of A$$B

is $1?$