5. (35 pts) In a hypothetical 5-bit floating point format, 3 leading bits are used for exponent (E, in 2s complement format) and 2 remaining bits for mantissa (M), and the value is evaluated as 1.M 2 E, answer the following questions:

(a) Find the decimal value of the expression 01101.

(b) Find the decimal value of the expression 10010.

(c) Determine the range of this format; i.e. ? |x| ?.

(d) Find the expression (representation) for decimal value 7.

(e) Find the expression (representation) for decimal value 0.375.

(f) How many distinct numbers are represented by this format?

(g) On a number axis, mark all the positive numbers represented by this format.