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AS7225

I²C Slave Interface

Datasheet

• PUBLIC

DS000496

• v2-00 • 2019-Jun-28

│ 24

8.5

4-Byte Floating-Point (FP) Registers

In addition to single and two byte, several 4-byte registers (hex) are shown in the tables starting

below. Here is an example of how the registers are used to represent floating point data (based on the

IEEE 754 standard):

Figure 16:

Example of the IEEE 754 Standard

The floating-point (FP) value assumed by 32-bit binary data with a biased exponent e (the 8-bit

unsigned integer) and a 23-bit fraction is (for the above example):

Equation 1:

�� = (−1)�� (1 + ∑ ��23−��2−��

��=1

) × 2(��−127)

Equation 2:

�� = (−1)0 (1 + ∑ ��23−��2−��

��=1

) × 2(124−127)

Equation 3:

�� = 1 × (1 + 2−2) × 2(−3) = 0.15625

byte 3

3Eh

byte 2

20h

byte 1

byte 0

00h

24 23

16 15

sign

exponent (8 bits)

fraction (23 bits)

= 0.15625

31 30

23 22

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

00h

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