The Boolean expression $\mathrm{Y}=\mathrm{A} \overline{\mathrm{B}} \mathrm{C}+\overline{\mathrm{AC}}$ can be realised with which of the following gate configurations.
A. One 3-input AND gate, 3 NOT gates and one 2-input OR gate, One 2-input AND gate
B. One 3-input AND gate, 1 NOT gate, One 2-input NOR gate and one 2-input OR gate
C. 3-input OR gate, 3 NOT gates and one 2-input AND gate
Choose the correct answer from the options given below:
The Boolean expression $\mathrm{Y}=\mathrm{A} \overline{\mathrm{B}} \mathrm{C}+\overline{\mathrm{AC}}$ can be realised with which of the following gate configurations.
A. One 3-input AND gate, 3 NOT gates and one 2-input OR gate, One 2-input AND gate
B. One 3-input AND gate, 1 NOT gate, One 2-input NOR gate and one 2-input OR gate
C. 3-input OR gate, 3 NOT gates and one 2-input AND gate
Choose the correct answer from the options given below:
Show Hint
- B, C Only
- A,B Only
- A, B, C Only
- A, C Only
The Correct Option is B
Solution and Explanation
1. Boolean expression: \[ Y = A \overline{B} C + \overline{AC} \]
2. Gate configurations:
- A. One 3-input AND gate, 3 NOT gates and one 2-input OR gate, One 2-input AND gate
- B. One 3-input AND gate, 1 NOT gate, One 2-input NOR gate and one 2-input OR gate
Therefore, the correct answer is (2) A,B Only.
Top Questions on Digital Circuits
In the digital circuit shown in the figure, for the given inputs the P and Q values are:
- JEE Main - 2025
- Physics
- Digital Circuits
The truth table corresponding to the circuit given below is
- JEE Main - 2025
- Physics
- Digital Circuits
- A full adder and an XOR gate are used to design a digital circuit with inputs \( X, Y, Z \), and output \( F \), as shown below. The input \( Z \) is connected to the carry-in input of the full adder.
If the input \( Z \) is set to logic ‘1’, then the circuit functions as _________ with \( X \) and \( Y \) as inputs.- GATE EC - 2025
- Networks, Signals and Systems
- Digital Circuits
The value of current \( I \) in the electrical circuit as given below, when the potential at \( A \) is equal to the potential at \( B \), will be _____ A.
- JEE Main - 2025
- Physics
- Digital Circuits
- What is the maximum frequency for Clk in MHz, given the flip-flop and logic gate delays?
- GATE EC - 2025
- Digital Circuits
- Digital Circuits
Questions Asked in JEE Main exam
- For a reaction, $$ {N}_2{O}_5(g) \rightarrow 2{NO}_2(g) + \frac{1}{2} {O}_2(g) $$ in a constant volume container, no products were present initially. The final pressure of the system when 50% of the reaction gets completed is:
- JEE Main - 2025
- Chemical Reactions
- Identify the homoleptic complexes with odd number of d-electrons in the central metal:
(A) [FeO4]2− (B) [Fe(CN)6]3−
(C) [Fe(CN)5NO]2− (D) [CoCl4]2−
(E) [Co(H2O)3F3]
Choose the correct answer from the options given below :
- JEE Main - 2025
- Coordination chemistry
- The large difference between the melting and boiling points of oxygen and sulphur may be explained on the basis of
- JEE Main - 2025
- Periodic Trends In Properties Of Elements
- The formation enthalpies, \( \Delta H_f^\circ \) for \( \text{H}_2 \) and \( \text{O}_2 \) are 220.0 and 250.0 kJ mol\(^{-1}\), respectively, at 298.15 K, and \( \Delta H_f^\circ \) for \( \text{H}_2\text{O} \) (g) is -242.0 kJ mol\(^{-1}\) at the same temperature. The average bond enthalpy of the O-H bond in water at 298.15 K is:
- JEE Main - 2025
- Thermodynamics
O\(_2\) gas will be evolved as a product of electrolysis of:
(A) an aqueous solution of AgNO3 using silver electrodes.
(B) an aqueous solution of AgNO3 using platinum electrodes.
(C) a dilute solution of H2SO4 using platinum electrodes.
(D) a high concentration solution of H2SO4 using platinum electrodes.
Choose the correct answer from the options given below :- JEE Main - 2025
- Electrolysis