PLEASE HELP WITH NUMERICAL METHODS COMPUTER SCIENCE.

FLOATING POINT.

3. A Floating Point Number System (FPNS) is defined by a tuple FPNS(; t; pmin; pmax)

where is the base, t is the precision, and pmin; pmax are the minimum and maximum

exponents, respectively. Use the system FPNS(5; 4; -3; +3) for the following questions.

You can provide your answer in base 5 or base 10.

(a) (3 points) What is the largest value in the system?

(b) (3 points) What the smallest positive number in the system?

(c) (3 points) What is the largest number less than one in the system?

(d) (3 points) What is the smallest number greater than one in the system?

(e) (3 points) How many distinct numbers can the system represent?

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