TAS5709APHPR datasheet(30/61 Pages) TI1

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(1or0)

2 +

(1or0)

2 +(1or0)

+.......(1or0)

–1

–4

–23

2 Bit

Bit

–1

Bit

–4

Bit

–23

M0126-01

Coefficient

Digit8

u u u

u u S x

Coefficient

Digit7

Coefficient

Digit6

Coefficient

Digit5

Coefficient

Digit4

Coefficient

Digit3

Coefficient

Digit2

Coefficient

Digit1

Fraction

Digit5

Fraction

Digit4

Fraction

Digit3

Fraction

Digit2

Fraction

Digit1

Integer

Digit1

Sign

Bit

Fraction

Digit6

u=unusedordon’tcarebits

Digit=hexadecimaldigit

M0127-01

TAS5709, TAS5709A

SLOS599A – NOVEMBER 2008 – REVISED SEPTEMBER 2009 ..................................................................................................................................... www.ti.com

The decimal value of a 3.23 format number can be found by following the weighting shown in Figure 33. If the

most significant bit is logic 0, the number is a positive number, and the weighting shown yields the correct

number. If the most significant bit is a logic 1, then the number is a negative number. In this case every bit must

be inverted, a 1 added to the result, and then the weighting shown in Figure 34 applied to obtain the magnitude

of the negative number.

Figure 34. Conversion Weighting Factors—3.23 Format to Floating Point

Gain coefficients, entered via the I2C bus, must be entered as 32-bit binary numbers. The format of the 32-bit

number (4-byte or 8-digit hexadecimal number) is shown in Figure 35

Figure 35. Alignment of 3.23 Coefficient in 32-Bit I2C Word

Sample calculation for 3.23 format

Linear

Decimal

Hex (3.23 Format)

8388608

800000

1.77

14917288

00E39EA8

-5

0.56

4717260

0047FACC

L = 10(X/20)

D = 8388608 × L

H = dec2hex (D, 8)

Sample calculation for 9.17 format

Linear

Decimal

Hex (9.17 Format)

131072

20000

1.77

231997

38A3D

-5

0.56

73400

11EB8

L = 10(X/20)

D = 131072 × L

H = dec2hex (D, 8)

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