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Texas Instruments C28 Series Student Guide

Texas Instruments C28 Series
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Binary Fractions
As with integers, the results are loaded low, and the MSB is a sign extension of the seventh bit. If
this value were loaded into the accumulator, we could store the results back to memory in a
variety of ways:
Store both low and high accumulator values back to memory. This offers maximum
detail, but has the same problems as with integer multiply.
Store only the high (or low) accumulator back to memory. This creates a potential for
a memory littered with varying Q-types.
Store the upper accumulator shifted to the left by 1. This would store values back to
memory in the same Q format as the input values, and with equal precision to the
inputs. How shall the left shift be performed? Here’s three methods:
Explicit shift
Shift on store
Use Product Mode shifter
Correcting Redundant Sign Bit
Correcting Redundant Sign Bit
Correcting Redundant Sign Bit
Correcting Redundant Sign Bit
Correcting Redundant Sign Bit
IQmath
IQmath
: automatically handled
: automatically handled
(next topic)
(next topic)
Q math in “C”, shift in software:
Q math in “C”, shift in software:
int
int
x,y,z;
x,y,z;
z = ((long)x * (long)y) >> 15;
z = ((long)x * (long)y) >> 15;
Accumulator
Accumulator
1 1 1 1 0 1 0 0
1 1
1 1
1 1 0 1 0 0
1 1 0 1 0 0
Redundant
Redundant
Sign Bit
Sign Bit
8 - 10 C28x - Numerical Concepts & IQmath

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Texas Instruments C28 Series Specifications

General IconGeneral
BrandTexas Instruments
ModelC28 Series
CategoryComputer Hardware
LanguageEnglish

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