AND Gate
Output is 1 only when both inputs are 1.
Formula
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Example
1·1 = 1
How it works
An AND gate is a logic device that gives a high output only if every required input is high. The dot symbol means logical multiplication in Boolean algebra, where 1 represents true and 0 represents false, so the result is 1 only when both inputs are 1. If either input is 0, the condition is not fully satisfied and the output becomes 0.
When to use it
Use this formula when analyzing simple digital circuits, truth tables, and logic conditions that must all be met at the same time. It is common in control systems, alarms, and computer logic where one signal should pass only if two signals are present.
Worked example, step by step
Given inputs: A = 1, B = 0 Use the AND formula: Y = A · B Substitute the values: Y = 1 · 0 Calculate the result: Y = 0 Final answer: the output is 0
Common mistakes to avoid
- Thinking AND gives 1 if just one input is 1
- Confusing AND (·) with OR (+)
- Forgetting that any 0 input forces the output to 0
Did You Know?
The AND gate outputs true only when all inputs are true, one of the tiny switches underlying every computer.
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