ROOTECH ACCURA 7500, User Manual, Page: 67 / 76

Page 67
FLOAT: 32bit Floating point[IEEE 754]
32 bits are divided into two consecutive 16-bit registers. The first and second registers are the upper
and lower registers. The formula for converting to a floating point value is as follows.
Register High Low
Bit
15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
s Exponent Mantissa
Example)
Register High Low
Bit
15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 1
s Exponent Mantissa
In the above table ‘S, Exponent, Mantissa’ is
S = 1
Exponent = 10001001(binary) = 137(decimal)
Mantissa = 0.11000010001110110111001(binary)
= 0.75871956(decimal)
Therefore,
( )
( )
( )
mantissa onent
s
+ × × − − 1 2 1 127 exp
23 4 3 2 1 2 1 2 0 2 0 2 1 2 1 − − − − −
× + ⋅⋅ ⋅ + × + × + × + ×
( )
( )
( )
75871956 . 0 1 2 1 127 137
1
+ × ×
− −