Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The sum of the binary numbers $(11011)_{2}(10110110)_{2}$ and $(10011 \times 0 y)_{2}$ is the binary number ( 101101101$)_{2}$. What are the values of $\mathrm{x}$ and $\mathrm{y}$ ?
MathematicsSets and RelationsNDANDA 2018 (Phase 2)
Options:
  • A $x=1, y=1$
  • B $x=1, y=0$
  • C $x=0, y=1$
  • D $x=0, y=0$
Solution:
2043 Upvotes Verified Answer
The correct answer is: $x=1, y=0$
On substraction, we get
101101101
\begin{array}{r}
-10110110 \\
\hline 10110111 \\
-11011 \\
\hline 10011100
\end{array}
$\Rightarrow x=1, y=0$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.