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I've attached a photo below of the example. 0.2 is the number that we're trying to approximate as a floating point. Fl(x) is said number. |fl(x) - 0.2| = the round off error. The lecturer jumps to a point from the above equation to |-1 + (0.1001...)2| x2^(-52) x2(-3).

Could somebody explain how he made this jump?