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2's complemen...

Question

2's complement representation of a 16-bit number (one sign bit and 15 magnitude bits) if FFFF. It's magnitude in decimal representation is

A

0

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B

32,767

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C

1

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D

65,535

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Solution

The correct option is C 1
$F F F F$
$\begin{matrix} 1111 & 1111 & 1111 & 1111 \end{matrix}$
2's complement
$\begin{matrix} 0000 & 0000 & 0000 & 0001 \end{matrix}$
$= 0001$
$= 1$

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