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youd think with its billions of bits in its memory that computers would be incredibly accurate and they are for the most part the problem is is when we start trying to represent things like floating point values in a binary system decimal floating point values and a binary system sometimes we lose some accuracy for example this piece of javascript is meant to display the value 5.3 with 20 digits to the right of the decimal point and as you can see from the output well we kind of missed the mark its close though right well in some industries close isnt good enough for example in the finance industry or in manufacturing where tolerances are really tight we need to have something thats incredibly accurate very accurate in the decimal sense of the word now whenever we try and display a number when we try and represent a number for example lets say 94 base 10 in binary an unsigned binary lets see if i can get this pen to work [Music] remember that if ive got eight bits to represent t