Question
Asked Oct 21, 2019
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What are the mantissa and exponent of 6.75 in 8-bit floating point binary system?

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Expert Answer

Step 1

The given number is 6.75

First, convert it in binary form.

Binary form of 6 is 110

Binary form of 0.75 is 0.11

Hence, the binary form of 6.75 is (110.11)2

 

8-bit floating-point representation format is shown below:

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Step 2

Floating-point representation contains three-part

The first part is used to store the sign bit; its size is one bit. If the number is positive it stores 0, if the number is negative it store 1.

The second part is used to st...

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