A machine stores floating point number in a (1 + 1 + 5 + 4)-bit word. The first

Question

A machine stores floating point number in a (1 + 1 + 5 + 4)-bit word. The first bit is for the sign of the number, the second bit is for the sign of the exponent, the next 5 bits are for the exponent, and the final 4 bits are for the mantissa. What is the machine epsilon? (Report 5 decimal places.) A machine stores floating point number in a 9-bit word. The first bit is for the sign of the number, the second bit is for the sign of the exponent, the next 3 bits are for the exponent, and the final 4 bits are for the mantissa. The number that (111001000)_2 represents in the above given 9-bit format is

Explanation / Answer

3. Please see the explaination for question 3 below:

Machine Epsilon is = 2-(number of bits for mantissa)

In Above question number of bits for mantissa is 4 so

Machine Epsilon is = 2-(4)

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