I have four sentences:

A : John and Joe are not both in the room.

B : John and Joe are both not in the room.

C : Either John or Joe is not in the room.

D : Neither John nor Joe is in the room.

I want to know the difference in meaning between these sentences. Specifically I want to the difference between sentences A and B, and C and D.

I have four sentences:

1. John and Joe are not both in the room.

2. John and Joe are both not in the room.

3. Either John or Joe is not in the room.

4. Neither John nor Joe is in the room.

I want to know the difference in meaning between these sentences. Specifically I want to know the difference between sentences A and B, and C and D.