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A $4$ bit $2’s$ complement representation of a number is $X_3X_2X_1X_0$. To represent it in $8$ bit form just simply copy the sign bit for an extra bit that is :

$X_3X_2X_1X_0$ can be represent in $8$ bit form as: $X_3X_3X_3X_3X_3X_2X_1X_0$.

Option (A),(B) is wrong here it represents positive and negative numbers respectively.

Option (C) is correct.

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