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TAS5715PHPR Datasheet(PDF) 39 Page - Texas Instruments |
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TAS5715PHPR Datasheet(HTML) 39 Page - Texas Instruments |
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39 / 74 page  (1or0) 2 + ´ 1 (1or0) 2 +(1or0) 2 +.......(1or0) 2 +.......(1or0) 2 ´ ´ ´ ´ 0 –1 –4 –23 2 Bit 1 2 Bit 0 2 Bit –1 2 Bit –4 2 Bit –23 M0126-01 u Coefficient Digit8 u u u u u S x Coefficient Digit7 x. x x x Coefficient Digit6 x x x x Coefficient Digit5 x x x x Coefficient Digit4 x x x x Coefficient Digit3 x x x x Coefficient Digit2 x x x x 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 0 TAS5715 www.ti.com SLOS645 – AUGUST 2010 The decimal value of a 3.23 format number can be found by following the weighting shown in Figure 52. 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 53 applied to obtain the magnitude of the negative number. Figure 53. 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 54 Figure 54. Alignment of 3.23 Coefficient in 32-Bit I2C Word Table 1. Sample Calculation for 3.23 Format db Linear Decimal Hex (3.23 Format) 0 1 8,388,608 80 0000 5 1.77 14,917,288 00E3 9EA8 –5 0.56 4,717,260 0047 FACC X L = 10(X/20) D = 8388608 × L H = dec2hex (D, 8) Table 2. Sample Calculation for 9.17 Format db Linear Decimal Hex (9.17 Format) 0 1 131,072 20 000 5 1.77 231,997 38 A3D –5 0.56 73,400 11 EB8 X L = 10(X/20) D = 131,072 × L H = dec2hex (D, 8) Copyright © 2010, Texas Instruments Incorporated Submit Documentation Feedback 39 Product Folder Link(s): TAS5715 |
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