Express the following switching circuit in symbolic form of logic. Construct the switching table.
In switching circuits:
- Series connections represent the AND operation.
- Parallel connections represent the OR operation.
Step 1: Identifying the Switches and Logic Representation
The given circuit consists of switches \( S_1, S_2, S_1', S_2' \), arranged in both series and parallel configurations. - Switches \( S_1 \) and \( S_1' \) are controlled by input \( A \). - Switches \( S_2 \) and \( S_2' \) are controlled by input \( B \).
Step 2: Deriving the Boolean Expression
- The parallel arrangement corresponds to the logical OR operation. - The series arrangement corresponds to the logical AND operation. Hence, the Boolean expression for the circuit is: \[ Y = (S_1 + S_1') \cdot (S_2 + S_2'). \]
Step 3: Constructing the Truth Table
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