TAS5508C datasheet(25/107 Pages) TI

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2−23 Bit

S_xxxx.xxxx_xxxx_xxxx_xxxx_xxxx_xxx

2−4 Bit

2−1 Bit

20 Bit

Sign Bit

23 Bit

M0007-01

(1 or 0) y 23 + (1 or 0) y 22 + … + (1 or 0) y 20 + (1 or 0) y 2−1 + … + (1 or 0) y 2−4 + … + (1 or 0) y 2−23

23 Bit

22 Bit

20 Bit

2−1 Bit

2−4 Bit

2−23 Bit

M0008-01

Coefficient

Digit 8

Coefficient

Digit 7

Coefficient

Digit 6

Coefficient

Digit 5

Coefficient

Digit 4

Coefficient

Digit 3

Coefficient

Digit 2

Coefficient

Digit 1

Fraction

Digit 5

Sign

Bit

Fraction

Digit 6

Fraction

Digit 4

Fraction

Digit 3

Fraction

Digit 2

Fraction

Digit 1

Integer

Digit 1

u = unused or don’t care bits

Digit = hexadecimal digit

M0009-01

TAS5508C

www.ti.com

SLES257 – SEPTEMBER 2010

Figure 2-4. 5.23 Format

The decimal value of a 5.23 format number can be found by following the weighting shown in Figure 2-5. 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 2-5 applied to

obtain the magnitude of the negative number.

Figure 2-5. Conversion Weighting Factors—5.23 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 2-6.

Figure 2-6. Alignment of 5.23 Coefficient in 32-Bit I2C Word

As Figure 2-6 shows, the hexadecimal (hex) value of the integer part of the gain coefficient cannot be

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