Final answer:
The circuit equation provided is S = A⋅(B+D)⋅C, which does not require further simplification for digital circuits. The final circuit is built by connecting B and D to an OR gate, then feeding its output, along with inputs A and C, into a 3-input AND gate to get S.
Step-by-step explanation:
To build the circuit equation and simplify it, we begin with the given expression S = A⋅(B+D)⋅C. This equation already represents the simplified Boolean algebraic form of the circuit, where ⋅ denotes the AND operation and + denotes the OR operation. According to Boolean algebra, there is no further simplification needed for this expression.
The final digital circuit can be constructed by using an AND gate and an OR gate. Connect inputs B and D to an OR gate, then feed its output together with inputs A and C into a 3-input AND gate to obtain the result S. This follows the logical operation where B and D are ORed together, and the result is then ANDed with A and C.
To design a circuit with PHET Explorations using the Circuit Construction Kit, follow the instructions to drag the required components (AND gate, OR gate) onto the work area and connect them as per the logical equation provided.