Omron Sysmac NY-series Instruction & Reference Manual page 42

1 Introduction to Motion Control Instructions
4
Exponent Expression
From the previous equation, e-127 = 6. Therefore e = 133.
The number 133 is 10000101 as a binary number. This expresses the exponent.
5
Mantissa Expression
Numbers following the decimal point in 1.010110101 are 010110101.
This number is expressed using 23 bits, but here there are insufficient digits. Therefore zeros
are added. The 23-bit figure becomes f.
Therefore f = 01011010100000000000000.
Therefore, -86.625 is expressed as shown in the following figure.
REAL data (32 bits)
 Valid Ranges
The valid ranges of REAL and LREAL are shown in the following table.
Data type
REAL
LREAL
REAL −3.402823e+38
LREAL −1.79769313486231e+308
−∞
 Special Numbers
Positive infinity, negative infinity, +0, -0, and nonnumeric data are called special numbers.
Nonnumeric data is data that cannot be expressed in floating-point decimal format. They are not
treated as numbers.
Mathematically, +0 and -0 both mean the same as 0, but in data processing it is treated differently.
A detailed explanation is given later.
The sign "s", exponent "e", and mantissa "f" for special numbers take on the following values.
1-14
Sign Exponent
1 10000101 01011010100000000000000
31 30 23 22
-∞ Negative numbers
-∞ -3.402823e+38 to -1.175495e-38
-1.79769313486231e+308 to
-∞
-2.22507385850721e-308
REAL −1.175495e−38
LREAL −2.22507385850721e−308
Mantissa
0
0 Positive number
+1.175495e-38 to +3.402823e
0
+38
+2.22507385850721e-308 to
0
+1.79769313486231e+308
REAL +3.402823e+38
LREAL +1.79769313486231e+308
0
REAL +1.175495e−38
LREAL +2.22507385850721e−308
NY-series Motion Control Instructions Reference Manual (W561)
+∞
+∞
+∞
+∞