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$\mathrm{X}=01110$ and $\mathrm{Y}=11001$ are two $5$-bit binary numbers represented in two's complement format. The sum of $\mathrm{X}$ and $\mathrm{Y}$ represented in two's complement format using $6$ bits is
  1. $100111$
  2. $001000$
  3. $000111$
  4. $101001$
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1 Answer

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We can write $\mathrm{X}, \mathrm{Y}$ in $6$ bits by using Sign Extension, as follows:
$$
\begin{aligned}
&\mathrm{X}=001110 \\
&\mathrm{Y}=111001
\end{aligned}
$$
Now, add $\text{X, Y}$ and Discard the End Carry. So, the answer is $000111.$
Answer:

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