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hello and welcome back to ap computer science principles i am mr cunningham and today we are going to expand what we can do with binary representation of numbers a little bit up until this point weve really only used binary to represent whole positive numbers but of course just like any system of math this system is so much more than that so lets start simple lets talk about what if we wanted to make some negative numbers if we wanted to represent say for example negative 27 okay in order to do that we have to set up some new rules for binary and that brings me to one of my most important points here the ones and zeros that weve been working on throughout this course so far dont have any inherent meaning on their own they only have meaning when you run them through a computer that then translates them back into numbers or text or pictures or whatever so if we want to represent a negative number we are going to have to come up with a rule for how to represent negative numbers so we