Question:
The output Y of a given logic circuit is (For inputs \(\mathrm{A}, \mathrm{B}\) and C )
The output Y of a given logic circuit is (For inputs \(\mathrm{A}, \mathrm{B}\) and C )
Show Hint
Read each gate from the figure: two NOR gates feed an AND gate.
Updated On: Nov 13, 2026
\(\mathrm{Y}=\overset{-}{\mathrm{A}}\cdot (\overset{-}{\mathrm{B}+\mathrm{C}})\)
\(\mathrm{Y}=(\overset{-}{\mathrm{A}\cdot \mathrm{B}})+(\overset{-}{\mathrm{B}\cdot \mathrm{C}})\)
\(\mathrm{Y}=(\overset{-}{\mathrm{A}+\mathrm{B}})\cdot (\overset{-}{\mathrm{B}+\mathrm{C}})\)
\(Y=(A+B)\cdot C\)
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept
From the figure, the upper NOR gate has inputs A and B, and the lower NOR gate has inputs B and C. Both outputs go to an AND gate.
Step 2: NOR Outputs
Upper: \(\overline{A+B}\)
Lower: \(\overline{B+C}\)
Step 3: AND Gate
\(Y=\overline{(A+B)}\cdot\overline{(B+C)}\).
Step 4: Compare the options
This is option (C).
Final Answer:
The output is \(Y=\overline{(A+B)}\cdot\overline{(B+C)}\). \[ \boxed{\text{(C) }(\overline{\mathrm{A}+\mathrm{B}})\cdot (\overline{\mathrm{B}+\mathrm{C}})} \]
From the figure, the upper NOR gate has inputs A and B, and the lower NOR gate has inputs B and C. Both outputs go to an AND gate.
Step 2: NOR Outputs
Upper: \(\overline{A+B}\)
Lower: \(\overline{B+C}\)
Step 3: AND Gate
\(Y=\overline{(A+B)}\cdot\overline{(B+C)}\).
Step 4: Compare the options
This is option (C).
Final Answer:
The output is \(Y=\overline{(A+B)}\cdot\overline{(B+C)}\). \[ \boxed{\text{(C) }(\overline{\mathrm{A}+\mathrm{B}})\cdot (\overline{\mathrm{B}+\mathrm{C}})} \]
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET Logic gates Questions
- What is the equivalent logic gate when the output of an AND gate is passed through a NOT gate?
- Consider the following logic circuit. The circuit consists of three gates: an AND gate, an OR gate, and a NOT gate. The inputs to the AND gate are \( A = 1 \) and \( B = 0 \). The output of the AND gate is fed into the input of the OR gate, which has another input \( C = 1 \). The output of the OR gate is then passed through a NOT gate. What is the final output of the circuit?
- The output of following combination is same as that of}
- To get the truth table shown, from the following logic circuit, the Gate G should be }
- An AND gate is followed by a NOT gate in series. With two inputs ' \(A\) ' and ' \(B\) ', the Boolean expression for the output ' \(Y\) ' will be
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions