Question

Express the following switching circuit in symbolic form of logic. Construct the switching table.

Hint:

In switching circuits: 
- Series connections represent the AND operation. 
- Parallel connections represent the OR operation.

Answer 1

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