# Lec8 - 8-1EE 319KIntroduction to 8:Fixed Point Numbers...

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Unformatted text preview: 8-1EE 319KIntroduction to MicrocontrollersLecture 8:Fixed Point Numbers, Local Variables, Binding, Allocation, Access, Deallocation Ramesh Yerraballi8-2Fixed Point NumbersWhy? (wish to represent non-integer values)Next lab measures distance from 0 to 3 cmE.g., 1.234 cmWhen? (range is known, range is small)Range is 0 to 3cmResolution is 0.003 cmHow? (value = I*∆) I (Variable Integer) is a 16-bit unsigned integer. It is stored and manipulated in memory. ∆(Fixed Constant) that represents the resolution. It is not stored but is usually written in comments ; implicit.(What about negative numbers?)Ramesh Yerraballi8-3Fixed Point Numbers: DecimalDecimal (Value = I*10m)I is a 16-bit unsigned integer ∆ = 10m decimal fixed-point For example with m=-3 (resolution of 0.001 or milli) the value range is 0.000 to 65.535What is π represented as in Decimal Fixed Point? π(3.14159…) = I*10-3=> I = Integral approximation of(3.14159…*103)I = Integral approximation of(3141.59) I = 3142Decimal Fixed-point numbers are human-friendlyRamesh Yerraballi8-4Fixed Point Numbers: BinaryBinary(Value = I*2m)I is a 16-bit unsigned integer∆ = 2m binary fixed-pointFor example with m=-8 (resolution of 1/256)What is π represented as in binary Fixed Point? π(3.14159…)= I*2-8=> I = Integral approximation of(3.14159…*28)I = Integral approximation of(804.2477) => I = 804Decimal Fixed-point numbers are computer-friendlyRamesh Yerraballi8-5OutputOutput an integer. Assume integer, n, is between 0...
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Lec8 - 8-1EE 319KIntroduction to 8:Fixed Point Numbers...

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