Consider a floating point number system with base b=10, s=5 significant digits in the mantissa, and limits m=-20 and M=+19 on the exponent.

Each answer below is just one number, and requires no explanation.

(All floating point numbers must be normalized.)

(a) What is the smallest positive number in this system?

(b) What is the largest number less than 1.0?

(c) What is the smallest number greater than 1.0?

(d) What is the largest positive number?

(e) What is the value of machine epsilon if the machine chops?

(f) What is the value of machine epsilon if the machine uses naive rounding?

(g) What is the value of machine epsilon if the machine uses symmetric rounding?