1 In a hypothetical 6 bit floating point format (for positive numbers only), 3 leading bits are used for exponent (E, in 2s complement format) and 3 remaining bits for mantissa (M ), and the value is evaluated as 1 M 2E , answer the following questions (a) Find the decimal value of the expression 111101 (b) Find the decimal value of the expression 011011 (c) Determine the range of this format i e N (d) Find the expression (representation) for decimal value 2 5 (e) Find the expression (representation) for decimal value 0 39 (use simple truncation for bits exceeding the format field) 2 In problem 1, if the value evaluation formula is instead defined as 0 M 2E , redo all the problems in 1 Note in (d) and (e), you need to find ALL possible expressions

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Question: 1.In a hypothetical 6-bit floating point format (for positive numbers only), 3 leading bits are used for exponent (E, in 2s complement format) and 3

1.In a hypothetical 6-bit floating point format (for positive numbers only), 3 leading bits are used for exponent (E, in 2s complement format) and 3 remaining bits for mantissa (M ), and the value is evaluated as 1.M 2E , answer the following questions:

(a) Find the decimal value of the expression 111101.

(b) Find the decimal value of the expression 011011.

(d) Find the expression (representation) for decimal value 2.5.

(e) Find the expression (representation) for decimal value 0.39 (use simple truncation for bits exceeding the format field).

2.In problem 1, if the value evaluation formula is instead defined as 0.M 2E , redo all the problems in 1. Note: in (d) and (e), you need to find ALL possible expressions

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