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modern-day computers use electricity to work and inside of a microchip electricity is turned either on or off which is represented by the symbols 1 and 0 this is called binary you've probably heard of binary already and that that's how computers work but do you know how binary works well you're about to find out but first we need to understand exactly how our numerical based system known as decimal or base 10 works the way it does so there are 10 counting 10 symbols that we use for all of our numbers starting from 0 we can count all the way up to 9 before we run out of symbols to use now we could just keep adding symbols at this point but that would get out of hand very quickly I mean can you imagine having to memorize a specific symbol for every single number that's ridiculous and that's why we reuse the same symbols over and over again in a very clever system called positional notation so in the base 10 system as soon as we get to 10 or an exponent of 10 we need to add another digit...