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

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Question: 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

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.

(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.

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