Exams › GATE › Technical

Consider the multiplexer based logic circuit shown in the figure. Which one of the following Boolean functions is realized by the circuit?

1. F = W̅S̅1S̅2
2. F = WS1 + WS2 + S1S2
3. F = W̅ + S1 + S2
4. F = W ⊕ S1 ⊕ S2

Correct answer: F = W ⊕ S1 ⊕ S2

Solution

The correct option represents the exclusive OR (XOR) operation, which outputs true when an odd number of its inputs are true. In this case, the function F = W ⊕ S1 ⊕ S2 accurately captures the behavior of the multiplexer circuit by combining the inputs in a way that reflects the XOR logic.

Related GATE Technical questions

• If fixed positive charges are present in the gate oxide of an n-channel enhancement type MOSFET, it will lead to
• In the ac equivalent circuit shown in the figure, if i_in is the input current and R_F is very large, the type of feedback is
• In the following circuit employing pass transistor logic, all NMOS transistors are identical with a threshold voltage of 1 V. Ignoring the body-effect, the output voltages at P, Q and R are
• In a code-division multiple access (CDMA) system with N = 8 chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is _______.
• The capacity of a Binary Symmetric Channel (BSC) with cross-over probability 0.5 is _______.
• The force on a point charge +q kept at a distance d from the surface of an infinite grounded metal plate in a medium of permittivity ε is

⚔️ Practice GATE Technical free + battle 1v1 →