The correct answer is $\boxed{\text{D}}$.
An AND gate is a digital logic gate that implements logical conjunction. In other words, it produces a 1 output only if all of its inputs are 1.
The input word 1111111 is the only one that satisfies this condition, so it is the only input that produces a 1 output.
The other options are incorrect because they do not have all 1s in their input.
Option A, 0, has 0s in all of its inputs, so it will always produce a 0 output.
Option B, 1111, has 1s in all of its inputs except for the first input, so it will only produce a 1 output if the first input is also 1.
Option C, 1110000, has 1s in all of its inputs except for the first
and second inputs, so it will only produce a 1 output if the first and second inputs are also 1.Option E, None of the above, is incorrect because there is at least one input word that produces a 1 output, namely 1111111.