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Line 13: For example, with ''n'' = 8, the binary integers (00000000)<sub>2</sub> (fraction 0.00), (01000000)<sub>2</sub> (0.25), (10000000)<sub>2</sub> (0.50), and (11000000)<sub>2</sub> (0.75) represent the angular measures 0°, 90°, 180°, and 270°, respectively. AThe main advantage of this system is that the addition or subtraction of the integer numeric values with the ''n''-bit arithmetic used in most computers produces results that are consistent with the geometry of angles. Namely, the integer result of the operation is automatically reduced [[modular arithmetic\|modulo]] 2<sup>''n''</sup>, matching the fact that angles that differ by an integer number of full turns are equivalent. Thus one does not need to explicitly test or handle the wrap-around, as one must do when using other representations (such as number of degrees or radians in floating-point).<ref name=harg2019/> ===Signed fraction of turn===

Binary angular measurement: Difference between revisions