Analyze a fictional binary floating point format using sixteen bits. In particular, if a given real number x is written as

a. What is the machine epsilon for this format?

b. What string of sixteen bits would represent the number86.625 in this format?

c. What string of sixteen bits would be stored if we tried to represent the number12345.6875? What is the number that is actually stored?

d. What number (in base ten) corresponds to storing the bits given by the hexadecimalstringAE2Fin this format?

where -1,0