How can the Boolean equation represented in a ladder diagram be expressed for certain inputs?

The Boolean equation represented in a ladder diagram can be expressed in various forms depending on how the inputs interact within the circuit. In this instance, the correct choice expresses the operations clearly and accurately indicates how the inputs A, B, and C relate to the output Y.

The expression Y = (A) + (C) + (BC) reveals that the output Y will be true if any of the following conditions are met: if input A is true, if input C is true, or if both inputs B and C are true simultaneously (the BC term represents the AND operation between B and C). This structure corresponds to the common interpretation of ladder logic, where the use of the plus sign indicates a logical OR operation and the implication of parentheses denotes a logical AND relationship.

This precise combination can effectively represent many common configurations found in control logic, allowing for multiple paths to set the output Y to true. Thus, by clearly understanding how these inputs interact, one can analyze and design ladder logic circuits more effectively.