TAS5713 datasheet(35/72 Pages) TI2

35 / 72 page

(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

TAS5713

www.ti.com

SLOS637A – DECEMBER 2009 – REVISED AUGUST 2010

The decimal value of a 3.23 format number can be found by following the weighting shown in Figure 48. 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 49 applied to obtain the magnitude

of the negative number.

Figure 49. 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 50.

Figure 50. Alignment of 3.23 Coefficient in 32-Bit I2C Word

Table 2. Sample Calculation for 3.23 Format

Linear

Decimal

Hex (3.23 Format)

8,388,608

80 0000

1.77

14,917,288

00E3 9EA8

–5

0.56

4,717,260

0047 FACC

L = 10(X/20)

D = 8,388,608 × L

H = dec2hex (D, 8)

Table 3. Sample Calculation for 9.17 Format

Linear

Decimal

Hex (9.17 Format)

131,072

2 0000

1.77

231,997

3 8A3D

–5

0.56

73,400

1 1EB8

L = 10(X/20)

D = 131072 × L

H = dec2hex (D, 8)

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