1 votes 1 votes $\mathrm{X}=01110$ 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 $100111$ $001000$ $000111$ $101001$ Digital Logic goclasses2024-iiith-mock-5 goclasses digital-logic number-representation 1-mark + – GO Classes asked Apr 30, 2023 • retagged Apr 29 by Lakshman Bhaiya GO Classes 188 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes 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 $000111.$ GO Classes answered Apr 30, 2023 GO Classes comment Share Follow See all 0 reply Please log in or register to add a comment.