1. The problem is to explain the AND gate and how it works. 2. An AND gate is a basic digital logic gate that outputs true or 1 only if all its inputs are true or 1. 3. The formula for an AND gate with two inputs $A$ and $B$ is: $$Q = A \cdot B$$ where $Q$ is the output. 4. Important rule: The output is 1 only when both $A=1$ and $B=1$. Otherwise, the output is 0. 5. Truth table for the AND gate: | A | B | Q | |---|---|---| | 0 | 0 | 0 | | 0 | 1 | 0 | | 1 | 0 | 0 | | 1 | 1 | 1 | 6. Explanation: The AND gate performs multiplication of the inputs in binary form. 7. The SVG diagram below shows two inputs $A$ and $B$ entering the AND gate and the output $Q$ leaving it.