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The three main (beginner) gates you need to learn about are: AND, OR and the NOT gate. There are additional gates (advanced) that you will go on to discover like: NAND, XOR and NOR. Remember, a truth table basically describes the behaviour of a logic gate.
Here's what they look like - you will need to memorise their names and associated shape.
AND
OR
NOT (Inverter)
Click the below link to read more about the additional gates as well as view truth tables for each.
https://en.wikipedia.org/wiki/Logic_gate
Create your own: https://logic.ly/demo/samples
History: https://www.scribd.com/doc/24926600/HISTORY-the-Earliest-Logic-Gates-Were-Made
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