Can the computed average of two floating point numbers (x + y)/2 (sum, then divide) be smaller than either one? Give an example (two digits are enough) in base 10 or 16. Is it possible in base 2? On...

Can the computed average of two floating point numbers (x + y)/2 (sum, then divide) be smaller than either one? Give an example (two digits are enough) in base 10 or 16. Is it possible in base 2?

On the computer you are using, what is the smallest number X for which EXP(X) does not underflow? What is the largest number X such that EXP(X) does not overflow?