The Boolean equation for the logic represented in the ladder diagram can be expressed as:
A)Y = (A
B)+ (AC
D)+ (D
B)Y = (A
B)+ (AC
D)+ (D
E)+ (BC
C)Y = (A
B)+ (A
C)+ (A
D)+ (E
D)Y= (A
B)+ (C
D)+ E

Question

The Boolean equation for the logic represented in the ladder diagram can be expressed as: 
A)Y = (A
B)+ (AC
D)+ (D
B)Y = (A
B)+ (AC
D)+ (D
E)+ (BC
C)Y = (A
B)+ (A
C)+ (A
D)+ (E
D)Y= (A
B)+ (C
D)+ E

Quizplus · Accepted Answer

- The output is only true when there is a closed path from input E to Y.
- The closed paths are: E -> D -> A -> C -> B -> E and E -> D -> E
- These paths correspond to the terms (ACD) and (DE) respectively in choice B. 
- Additionally, there is a direct path from A or B or C to Y, which corresponds to the term (AB) in choice B.
- Therefore, choice B covers all the necessary paths and is the best choice.

The Boolean Equation for the Logic Represented in the Ladder