Question:
The binary equivalent of the decimal number 10 is
The binary equivalent of the decimal number 10 is
Show Hint
Binary numbers are formed using only 0 and 1 based on powers of 2.
Updated On: Jan 20, 2026
- 1010
- 1001
- 1110
- 1100
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Divide the number by 2 repeatedly.
\[ 10 \div 2 = 5 \text{ remainder } 0 \] \[ 5 \div 2 = 2 \text{ remainder } 1 \] \[ 2 \div 2 = 1 \text{ remainder } 0 \] \[ 1 \div 2 = 0 \text{ remainder } 1 \]
Step 2: Write remainders in reverse order.
Binary equivalent = 1010
Step 3: Conclusion.
The correct binary representation of 10 is 1010.
\[ 10 \div 2 = 5 \text{ remainder } 0 \] \[ 5 \div 2 = 2 \text{ remainder } 1 \] \[ 2 \div 2 = 1 \text{ remainder } 0 \] \[ 1 \div 2 = 0 \text{ remainder } 1 \]
Step 2: Write remainders in reverse order.
Binary equivalent = 1010
Step 3: Conclusion.
The correct binary representation of 10 is 1010.
Was this answer helpful?
0
0
Top Questions on Number System
Match List-I with List-II and choose the correct option:
\[ \begin{array}{|l|l|} \hline \textbf{LIST-I (Function)} & \textbf{LIST-II (Expansion)} \\ \hline A. \log(1-x) & I. 1 + \frac{1}{3} + \frac{1}{6} + \frac{3}{40} + \frac{15}{336} + \dots \\ \hline B. \sin^{-1} x & II. 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + \dots \\ \hline C. \log 2 & III. x + \frac{1}{2} \frac{x^3}{3} + \frac{1 \cdot 3}{2 \cdot 4} \frac{x^5}{5} + \frac{1 \cdot 3 \cdot 5}{2 \cdot 4 \cdot 6} \frac{x^7}{7} + \dots, -1 < x \le 1 \\ \hline D. \frac{\pi}{2} & IV. -x - \frac{x^2}{2} - \frac{x^3}{3} - \dots, -1 \le x < 1 \\ \hline \end{array} \]
- CUET (PG) - 2025
- Mathematics
- Number System
- Which of the following are correct:
A. Every infinite bounded set of real number has a limit point
B. The set \( S = \{x : 0<x \le 1, x \in \mathbb{R}\} \) is a closed set
C. The set of whole real numbers is open as well closed set
D. The set \( S = \{1, -1, \frac{1}{2}, -\frac{1}{2}, \frac{1}{3}, -\frac{1}{3}, ... \} \) is neither open set nor closed set- CUET (PG) - 2025
- Mathematics
- Number System
- If p is a prime number and O(G) denotes the order of a group G and p divides O(G), then group G has an element of order p. Then, this is a statement of
- CUET (PG) - 2025
- Mathematics
- Number System
- The given series \( 1 - \frac{1}{2^p} + \frac{1}{3^p} - \frac{1}{4^p} + ... (p>0) \) is conditionally convergent, if 'p' lies in the interval:
- CUET (PG) - 2025
- Mathematics
- Number System
- If \( v = \sin^{-1} \left( \frac{x^{1/3} + y^{1/3}}{x^{1/2} + y^{1/2}} \right) \), then \( x\frac{\partial v}{\partial x} + y\frac{\partial v}{\partial y} \) is equal to :
- CUET (PG) - 2025
- Mathematics
- Number System
View More Questions
Questions Asked in IPU CET exam
- The derivative of $e^{2x}\sin x$ with respect to $x$ is
- IPU CET - 2025
- Differentiation
- If vector $\vec{a} = 2\hat{i} + m\hat{j} + \hat{k}$ and vector $\vec{b} = \hat{i} - 2\hat{j} + 3\hat{k}$ are perpendicular to each other, then the value of $m$ is
- IPU CET - 2025
- Vectors
- Synonym of ``Brief'' is
- IPU CET - 2025
- Synonyms
- Spot the error: ``I prefer coffee than tea.''
- IPU CET - 2025
- Vocabulary
- The idiom ``A piece of cake'' means
- IPU CET - 2025
- Idioms & Phrases
View More Questions