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Topic 52 · lesson 3 of 5

Logic Circuits And Symbols

Clear explanations and worked examples from the Math-Mate school maths textbook.

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Logic Circuits and Symbols

As well as being able to write logic expressions using mathematical notation, we can also draw logic circuits.  These are sort of like an electrical diagram, which you can follow along by hand from one side to the other.  There are three main symbols you need to know.  They are often called ‘gates’.

NOT symbol

Mathematical diagram

This looks like a triangle with a small circle at the tip.  When you put a statement like ‘x’ into it, you come out with the opposite of that statement.  So true becomes false, and false becomes true.  Notice that there’s only one input.

OR symbol

Mathematical diagram

This is like a triangle but with all the sides curved.  Also notice how it has two inputs.  You can actually have more than two inputs as well, for instance, if you have x, y and z as inputs then it would look like this:

Mathematical diagram

AND symbol

Mathematical diagram

The AND symbol is like a bit of a rectangle with a semicircle attached to one end.  It can also have more than 2 inputs, like in this particular case.