Final answer:
An AND gate outputs a logical 1 only when all of its inputs are also at a logical 1. For a two-input AND gate, this only happens when input A and input B are both 1, reflecting the logic that the AND operation is true only when all conditions are true.
Step-by-step explanation:
An AND gate produces a logical 1 output only when all of its inputs are at logical 1 as well. This is because the AND operation is true only when all conditions being compared are true. If we consider a simple two-input AND gate, the output will be 1 if input A is 1 and input B is 1. Any other combination of inputs will result in a 0 output. For example, if the inputs are A = 1, B = 0, the output will be 0 because both inputs are not high (1).
To summarize, the truth table for a two-input AND gate is:
- Input A = 0, Input B = 0, Output = 0
- Input A = 0, Input B = 1, Output = 0
- Input A = 1, Input B = 0, Output = 0
- Input A = 1, Input B = 1, Output = 1
Only the last case results in an output of 1, fulfilling the condition of the AND operation.