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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.
Go further: Additional Gates, NOR, NAND and XOR
Click the below link to read more about the additional gates as well as view truth tables for each.