Binary angular measurement: Difference between revisions

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The terms '''binary angular measurement''' ('''BAM''')<ref name="ship"/> and '''binary angular measurement system''' ('''BAMS''')<ref name="BAMS"/> refer to certain methodologies for representing and manipulating [[angle]]s using [[binary number|binary]] ([[number base|base]] 2) [[fixed-point arithmetic]]. The [[unit of measre|unit]] of angular measure used in those methods may be called '''binary radian''' ('''brad''') andor '''binary degree'''.

These representation of angles are often used in [[computernumerical control]] and [[digital signal processing]] applications, such as robotics, navigation,<ref name=lap2004/> computer games,<ref name=sang1993/> and digital sensors.<ref name=para2005/> On the other hand, this system is not adequate for situations where the number of full turns must be measured, e.g. to monitor the rotation of vehicle wheels or of [[leadscrew]]s.

[[Image:Binary angles.svg|360px|thumb|Binary angle measurement system. <span style="color:black">Black</span> is traditional degrees representation, <span style="color:green">green</span> is a BAM as a decimal number and <span style="color:red">red</span> is [[hexadecimal]] 32&nbsp;bit BAM. In this figure the 32-bit binary integers are interpreted as signed binary fixed-point values with scaling factor 2⁻³¹, representing fractions between −1.0 (exclusive) and +1 (inclusive).]]