The decimal equivalent of the binary number $(11010.101)_2$ is
- 9.625
- 25.265
- 26.625
- 26.265
The Correct Option is C
Solution and Explanation
$(11010.101)_{2}=0 \times 2^{0}+1 \times 2^{1}+0 \times 2^{2}$
$\quad+1 \times 2^{3}+1 \times 2^{4}+1 \times 2^{-1}+0 \times 2^{-2}+1 \times 2^{-3}$
$=0+2+0+8+16+\frac{1}{2}+0+\frac{1}{8}$
$=26+\frac{5}{8}=\frac{213}{8} \approx 26.625$
Top Questions on Logic gates
- To obtain the given truth table, the following logic gate should be placed at G
- JEE Main - 2025
- Physics
- Logic gates
- Which of the following circuits has the same output as that of the given circuit?
- JEE Main - 2025
- Physics
- Logic gates
- A particle oscillates along the \( x \)-axis according to the law, \( x(t) = x_0 \sin^2 \left( \frac{\pi t}{T} \right) \), where \( x_0 = 1 \, \text{m} \) and \( T \) is the time period of oscillation. The kinetic energy (\( K \)) of the particle as a function of \( x \) is correctly represented by the graph:
- JEE Main - 2025
- Physics
- Logic gates
For the circuit shown above, the equivalent gate is:
- JEE Main - 2025
- Physics
- Logic gates
- The truth table for the circuit given below is:
- JEE Main - 2025
- Physics
- Logic gates
Questions Asked in WBJEE exam
- Two straight conducting plates form an angle θ where their ends are joined. A conducting bar in contact with the plates and forming an isosceles triangle with them, starts at the vertex at time t = 0 and moves with constant velocity v to the right as shown in the figure. A magnetic field B points out of the page. The magnitude of emf induced at t = 1 second will be:
- WBJEE - 2024
- Electromagnetic induction
- A 2V cell is connected across the points A and B as shown in the figure. Assume that the resistance of each diode is zero in forward bias and infinity in reverse bias. The current supplied by the cell is:
- WBJEE - 2024
- Current electricity
- Consider a circuit where a cell of emf \( E_0 \) and internal resistance \( r \) is connected across the terminal A and B as shown in the figure. The value of \( R \) for which the power generated in the circuit is maximum, is given by:
- WBJEE - 2024
- Current electricity
- In a series LCR circuit, the rms voltage across the resistor and the capacitor are \(30 \, \text{V}\) and \(90 \, \text{V}\) respectively. If the applied voltage is \(50\sqrt{2}\sin\omega t\), then the peak voltage across the inductor is:
- WBJEE - 2024
- Alternating current
- Which of the following statement(s) is/are true in respect of nuclear binding energy?
(i) The mass energy of a nucleus is larger than the total mass energy of its individual protons and neutrons.
(ii) If a nucleus could be separated into its nucleons, an energy equal to the binding energy would have to be transferred to the particles during the separating process.
(iii) The binding energy is a measure of how well the nucleons in a nucleus are held together.
(iv) The nuclear fission is somehow related to acquiring higher binding energy.- WBJEE - 2024
- Nuclear physics
Concepts Used:
Logic Gates
AND Gate
It is the gate, where a circuit performs an AND operation. It has n number of input where (n >= 2) and one output.
OR Gate
It is the gate, where a circuit performs an OR operation. It has n number of input where (n >= 2) and one output.
NOT Gate
An inverter is also called NOT Gate. It has one input and one output where the input is A and the output is Y.
NAND Gate
A NAND operation is also called a NOT-AND operation. It has n number of input where (n >= 2) and one output.
NOR Gate
A NOR operation is also called a NOT-OR operation. It has n number of input where (n >= 2) and one output.
XOR Gate
XOR or Ex-OR gate is a specific type of gate that can be used in the half adder, full adder, and subtractor.
XNOR Gate
XNOR gate is a specific type of gate, which can be used in the half adder, full adder, and subtractor. The exclusive-NOR gate is flattened as an EX-NOR gate or sometimes as an X-NOR gate. It has n number of input (n >= 2) and one output.