1. Simplify the following Boolean equation and implement it in ladder logic.
2. Simplify the following Boolean equation and write a ladder logic program to implement it.
3. Convert the following ladder logic to a Boolean equation. Simplify the equation using Boolean algebra, and then convert the simplified equation back to ladder logic.
4. Convert the truth table below to a Boolean equation, and then simplify it. The output is X and the inputs are A, B, C and D.
5. Simplify the following Boolean equation. Convert both the unsimplified and simplified equations to ladder logic.
6. Convert the following ladder logic to a Boolean equation. Simplify the equation and convert it back to ladder logic.