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Helga [31]
3 years ago
8

Give the largest positive number that can be represented in 13 bits for the two cases:

Engineering
1 answer:
aalyn [17]3 years ago
3 0

The largest positive number that can be represented in 13 bits for the two cases are

A) Unsigned number

<h3>The largest unsigned no can be represented with 13bits as</h3>

(2)^n - 1 = (2)^{13} - 1 = 8191

In Binary - (1111111111111)_2

In decimal - (8191)_{10}

In hexadecimal - (1FFF)_{16

B) Signed number

<h3>The largest signed no can be represented with 13bit as</h3>

2^n = 2^{13} = 8192

The range is from (2^n-1)

therefore, the maximum value is (4096)_{10}

In binary - (1000000000000)_2

In hexadecimal - (1000)_{16}

For more information on Binary numbers, visit

brainly.com/question/21285223

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The occupants of a remote village rely exclusively on a single micro hydro facility for all of their electricity needs. The hydr
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6 0
3 years ago
A 55-μF capacitor has energy ω (t) = 10 cos2 377t J and consider a positive v(t). Determine the current through the capacitor.
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Given :

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Energy in capacitor is given by :

\omega=\dfrac{Cv^2}{2}\\\\v=\sqrt{\dfrac{2\omega}{C}}\\\\v=\sqrt{\dfrac{2\times 10cos^2 (377t)}{55\times 10^{-6}}}\\\\v=cos(337t)\sqrt{\dfrac{2\times 10}{55\times 10^{-6}}}\\\\v=603.02\ cos( 337t)

Now , current i is given by :

i=C\dfrac{dv}{dt}\\\\i=C\dfrac{d[603.02cos(337t)]}{dt}\\\\i=-55\times 10^{-6}\times 603.03\times 337\times sin(337t)\\\\i=-11.18\ sin(337t)

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