Two binary digits are applied to the inputs of a two-input AND gate. The output of the logic can generate

The output of a two-input AND gate depends on the binary inputs applied to it. The AND gate is a digital logic gate that outputs true or 1 only if both inputs are true or 1. Let's analyze what outputs can be generated by this gate, given the two binary digits.

1. Break Down the Problem

• Define the inputs: Let the two input binary digits be A and B.
• Determine the possible values of A and B. Each can be either 0 (low) or 1 (high).

2. Relevant Concepts

• The logic operation of an AND gate can be expressed as: $\text{Output} = A \land B$
• In binary terms, the AND operation table can be summarized as follows:

3. Analysis and Detail

1. When both A and B are 0, the output is 0.
2. When A is 0 and B is 1, the output is 0.
3. When A is 1 and B is 0, the output is 0.
4. When both A and B are 1, the output is 1.

4. Verify and Summarize

From the truth table, we can see that the only combination that yields an output of 1 is when both A and B are 1. In all other cases, the output remains 0.

Final Answer

The output of a two-input AND gate can generate the following results:

• If A = 0 and B = 0, output = 0
• If A = 0 and B = 1, output = 0
• If A = 1 and B = 0, output = 0
• If A = 1 and B = 1, output = 1

Thus, the output can either be 0 or 1, depending on the input combinations.