Teledyne LeCroy X-STREAM OSCILLOSCOPES Remote Control - Manual (Page 300)

A P P E N D I X I I : Waveform Template
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ISSUED: February 2005 WM-RCM-E Rev D
In a way that does not follow the byte boundaries, the bits are to be segregated as follows:
63 62, 61 . . . . 53, 52 51, 50 . . . . 2, 1, 0
sign 11 exponent bits 52 fractional bits
bit 0.5, 0.25, 0.125 . . .
The sign bit is 1 for a negative number and 0 for a positive number, so it is easy to construct the sign from this:
S = (-1)^s.
The 11 exponent bits have the following values:
52 Ж 1, 53 Ж 2 . . . 61 Ж 512, 62 Ж 1024
so the resulting number can range from 0 to 2^12 – 1, which is 2047. 1023 is then subtracted from this value,
creating a range from -1023 to +1024. This is then used as a power of two to create a value E.