MHT CET · Physics · Semiconductors
The Boolean expression for two-input Ex-OR gate is (A, B are inputs, Y is output)
- A \(Y=(\bar{A}+B) \cdot(A+\bar{B})\)
- B \(\mathrm{Y}=(\mathrm{A}, \mathrm{B})+(\overline{\mathrm{A}}+\overline{\mathrm{B}})\)
- C \(\mathrm{Y}=(\overline{\mathrm{A}} \cdot \mathrm{B})+(\mathrm{A} \cdot \overline{\mathrm{B}})\)
- D \(\mathrm{Y}=(\mathrm{A} \cdot \mathrm{B})+(\overline{\mathrm{A}}+\mathrm{B})\)
Answer & Solution
Correct Answer
(C) \(\mathrm{Y}=(\overline{\mathrm{A}} \cdot \mathrm{B})+(\mathrm{A} \cdot \overline{\mathrm{B}})\)
Step-by-step Solution
Detailed explanation
Truth table
Output equation: \(\mathrm{Y}=\mathrm{A} \oplus \mathrm{B}=(\overline{\mathrm{A}} \cdot \mathrm{B})+(\mathrm{A} \cdot \overline{\mathrm{B}})\)
Key points to remember:
(1) the output is low when both the inputs are the same
(2) the output is high when both the inputs are different
Output equation: \(\mathrm{Y}=\mathrm{A} \oplus \mathrm{B}=(\overline{\mathrm{A}} \cdot \mathrm{B})+(\mathrm{A} \cdot \overline{\mathrm{B}})\)
Key points to remember:
(1) the output is low when both the inputs are the same
(2) the output is high when both the inputs are different
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The length of a potentiometer wire is \(L\). A cell of e.m.f. \(E\) is balanced at a length \(\frac{L}{3}\) from the positive end of the wire. If the length of the wire is increased \(\frac{L}{2}\) at what distance will the same cell gives a balance point?MHT CET 2022 Medium
- An aircraft is moving with uniform velocity 150 m/s in the space. If all forces acting on it are balanced, then it willMHT CET 2019 Easy
- The equation of the wave is \(\mathrm{Y}=10 \sin \left(\frac{2 \pi \mathrm{t}}{30}+\alpha\right)\) If the displacement is \(5 \mathrm{~cm}\) at \(\mathrm{t}=0\) then the total phase at \(\mathrm{t}=7.5 \mathrm{~s}\) will be \(\left(\sin 30^{\circ}=0.5\right)\)MHT CET 2023 Medium
- A metal rod of weight ' \(W\) ' is supported by two parallel knife-edges \(A\) and \(B\). The rod is. in equilibrium in horizontal position. The distance between two knife-edges is ' \(r\) '. The centre of mass of the rod is at a distance ' \(x\) ' from A. The normal reaction on A isMHT CET 2024 Easy
- A coil of ' \(n\) ' turns and resistance \(R \Omega\) is connected in series with a resistance \(\frac{R}{2}\). The combination is moved for time 't' second through magnetic flux \(\Phi_1\) to \(\Phi_2\). The induced current in the circuit isMHT CET 2025 Medium
- A simple spring has length ' \(l\) ' and force constant ' \(\mathrm{K}\) ', It is cut in to two springs of length ' \(l_1\) ' and ' \(l_2\) ' such that \(l_1=\mathrm{n} l_2\) ( \(\mathrm{n}\) is an integer). The force constant of spring of length ' \(l_1\) ' isMHT CET 2023 Medium
More PYQs from MHT CET
- If \(\varepsilon_0\) and \(\varepsilon\) represent the permittivity of free space and absolute permittivity of a medium then the relative permittivity of the medium isMHT CET 2022 Easy
- The smallest positive value of \(x\) in degrees satisfying the equation \(\tan \left(x+100^{\circ}\right)=\tan \left(x+50^{\circ}\right) \tan (x) \tan \left(x-50^{\circ}\right)\) isMHT CET 2024 Hard
- The pair, that referred as 'chemical twins' isMHT CET 2009 Medium
- Calculate the oxidation number of Cr in \(\mathrm{CrO}_4^{2-}\) ion and \(\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7\) respectively.MHT CET 2024 Medium
- The volume concentration of hydrogen peroxide having \(6.8 \%\) concentration will beMHT CET 2012 Hard
- The area of the square increases at the rate of \(0.5 \mathrm{~cm}^{2} / \mathrm{sec}\). The rate at which its
perimeter is increasing when the side of the square is \(10 \mathrm{~cm}\) long, isMHT CET 2020 Easy