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4 years ago

6

When using bits to represent fractions of a number, can you create all possible fractions? Why or why not?

1 answer:

Strike441 [17]4 years ago

5 0

Answer:

no

Explanation:

There are an infinite number of fractions. You cannot create all possible fractions with a finite number of bits.

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Let's start by calculating the specific volume which is given by

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Replacing our values we have

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Now we will obtain the value of the volumetric coefficient of thermal expansion of mercury through the differential expansion coefficient of Hg whic is three times, then

$\lambda_V = 3\lambda_L$

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$\lambda_V = 5.46*10^{-4}/\°C$

Finally the relation to calculate the volume the bulb must is

$\text{Specific volume} = \text{Bulb Volume} \times \text{Volumetric Coefficient}$

$v = v_B \times \lambda_V$

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$v_B = \frac{0.0628mm^3/\°C}{5.46*10^{-4}/\°C}$

$v_B = 115mm^3$

Therefore the volume that the bulb must have is $115mm^3$

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3 years ago