Question:
The output of the following logic circuit can be simplified to \[ \text{(Logic circuit diagram provided)} \]
The output of the following logic circuit can be simplified to \[ \text{(Logic circuit diagram provided)} \]
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In Boolean algebra, use the basic laws like distribution and combination to simplify logic circuits step by step.
Updated On: Dec 12, 2025
- \( X + YZ \)
- \( Y + XZ \)
- \( XYZ \)
- \( X + Y + Z \)
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The Correct Option is B
Solution and Explanation
Step 1: Analyzing the given logic circuit.
The circuit consists of AND, OR, and NOT gates. We can simplify the Boolean expression for the output step by step, based on the inputs and gates.
Step 2: Boolean simplification.
We can see from the circuit that the output is simplified as: \[ X + YZ \] This is the simplest Boolean expression representing the output of the circuit.
Step 3: Conclusion.
Thus, the correct simplified expression is \( X + YZ \), and the correct answer is (A).
The circuit consists of AND, OR, and NOT gates. We can simplify the Boolean expression for the output step by step, based on the inputs and gates.
Step 2: Boolean simplification.
We can see from the circuit that the output is simplified as: \[ X + YZ \] This is the simplest Boolean expression representing the output of the circuit.
Step 3: Conclusion.
Thus, the correct simplified expression is \( X + YZ \), and the correct answer is (A).
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