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NDA 2018

Exam: NDA
Year: 2018
Subject: Mathematics
Chapter: Binary Numbers

NDA 2018 · Mathematics · Binary Numbers

The sum of the binary numbers (11011)_ 2, (10110110)_2 and (10011 x...

The sum of the binary numbers

(11011)_{2,}(10110110)_2

and

(10011 x 0 y)_2

is the binary number

(101101101)_2

. What are the values of

x

and

y

?

Options

A $\mathrm{x}=1, \mathrm{y}=1$
B $\mathrm{x}=1, \mathrm{y}=0$
C $x=0, y=1$
D $x=0, y=0$

Correct answer

B. $\mathrm{x}=1, \mathrm{y}=0$

Step-by-step solution

\therefore

On substraction, we get

\begin{aligned} & 101101101 \\ & \frac{-10110110}{10110111} \\ & \frac{-11011}{10011100} \\ & \Rightarrow x=1, y=0 \end{aligned}

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