$(1$ point$)$ Consider the hex strings $A=0b16$ecf$850f1dc85f$ and $B=04aa254a1e6$eac$64f.$

a$)$ What is $Ao+B$ in hexadecimal? Please give your answer a leading $0x$ 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 $Ao+B$ is $1?$