Question

Simplify the given circuit by writing its logical expression. Also write your conclusion.

Hint:

When analyzing circuits, identify whether switches are in series or parallel, and use AND for series and OR for parallel to form the logical expressions.

Answer 1

The circuit diagram involves switches \( S_1 \) and \( S_2 \), which connect to the logical expression. The simplification of the circuit depends on the states of the switches. Let's assume that \( S_1 \) and \( S_2 \) are switches, and we need to write the logical expression for the circuit. Based on the diagram, the logic expression can be derived from the combination of switches. Assuming the switches are arranged in series or parallel, we can write the logical expression using standard logic gate operations such as AND, OR, and NOT gates. 1. If \( S_1 \) and \( S_2 \) are in series (closed), the logical expression will be: \[ S_1 \cdot S_2 \] 2. If the switches are in parallel, the logical expression will be: \[ S_1 + S_2 \] The final conclusion will depend on the physical arrangement of the switches. For example: - If both \( S_1 \) and \( S_2 \) need to be closed to complete the circuit, the logical expression is \( S_1 \cdot S_2 \). - If only one switch needs to be closed, the logical expression is \( S_1 + S_2 \). Conclusion: The logical expression depends on the series or parallel arrangement of the switches in the circuit.