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AS7262 Datasheet(PDF) 22 Page - ams-OSRAM AG |
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AS7262 Datasheet(HTML) 22 Page - ams-OSRAM AG |
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22 / 48 page ![]() Datasheet, Public Page 21 [v4-00] 2022-Nov-30 Document Feedback AS7262 − Detailed Description 4-Byte Floating-Point (FP) Registers Several 4-byte registers (hex) are used by the AS7262. Here is an example of how these registers are used to represent floating point data (based on the IEEE 754 standard): Figure 19: Example of the IEEE 754 Standard The floating point (FP) value assumed by 32 bit binary32 data with a biased exponent e (the 8 bit unsigned integer) and a 23 bit fraction is (for the above example): 0 0 1 1 1 1 1 0 31 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3E (hex) 20 (hex) 00 (hex) 00 (hex) byte 3 byte 2 byte 1 byte 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 exponent (8 bits) fraction (23 bits) 24 23 16 15 8 7 0 31 23 30 22 0 sign = 0.15625 FP value 1 – () sign 1b23 i – 2 i – i1 = 23 + 2 e 127 – () × ⋅ = FP value 1 – () 0 1b23 i – 2 i – i1 = 23 + 2 124 127 – () × ⋅ = FP value 1 1 2 2 – + () 2 3 – × × = 0.15625 = |
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