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[Applause] [Applause] [Applause] hey john here letamp;#39;s talk about how to subtract binary numbers quick review we already know how to add them we already know what twoamp;#39;s complement numbers are how theyamp;#39;re represented and we know how to calculate the negative value of any given twoamp;#39;s complement integer in other words if youamp;#39;re giving me some number x i can apply the twoamp;#39;s complement rule and calculate negative x okay so what then does it mean to subtract two numbers well i want to take an arbitrary thing negative four minus eight right and iamp;#39;d like to get negative 12 right well i could observe that that is the exact same thing as saying negative 4 plus negative 8 and then getting negative 12 that way right well yes i suppose if this was an episode of star trek this might be considered a bit of a kobayashi meru type of move right well it it turns out this is a nice way to do it letamp;#39;s not worry ab