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

The Boolean equation for the logic represented in a ladder diagram can be expressed accurately as Y = (A) + (C) + (BC). This expression indicates that the output Y will be true if any one of the following conditions hold:

1. A is true.

2. C is true.

3. Both B and C are true at the same time.

In a ladder diagram, each rung typically represents a logical condition that can activate an output. The use of parentheses around C and (BC) denotes that the combination of B and C being true is a distinct logical condition. The addition (+) operator reflects the logical OR operation, meaning that any of the conditions being satisfied leads to the output being true.

The presence of all components in the equation captures the complete logic depicted in the ladder diagram, ensuring that the scenario covers all possibilities for when Y can be activated. This comprehensive nature of the equation is aligned with standard practices in representing logical operations accurately.