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hello there and welcome back to steemit with steve today weamp;#39;re going to go through the next step in our exploration of boolean algebra so weamp;#39;re going to cover truth tables now if truth tables are super interesting what they do is they give you a map of all the different logic units that you can use okay so if we have inputs a and b we have these are all the different combinations that you can do so you can do zero zero zero one one zero one one or off off off on on off on and then what we can do is we can map that out now this is pretty much all the ones that you would really need to know so if we do the note of a we just invert all these numbers if we do the not of b we invert all these guys up here if we do a and then this symbol means um union right or and so a and b so if we look at this zero and zero make zero zero and one makes zero one zero makes zero and one one makes one then this one um is the opposite so this is union right which then gives you zero and zero