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so lets talk a little bit about counting in binary or specifically you want to look at it in the context of making our truth tables so our truth tables are always listed with rows in binary order meaning that theyre counting properly with regards to how binary is counted so lets kind of start with a big example here lets say weve got lets say weve got a four variable truth table we want to have so were gonna have a b c d or this is a 4-bit function right uses four inputs or four bits and lets uh lets start counting here so just like every number system we start off with zeros right this is zero zero zero zero and just like every other number system the next number is one so we start at zero when we go to one and just like if I were to say I give you Im gonna give you that many dollars thats $975 we know weve got these zeros before it but they dont actually change the value right I could say oh my paycheck has seven thousand zeros on it but it matters it really matters wh