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Get the number of bits in the exponent portion of the floating point representation in Python
To get the number of bits in the exponent portion of the floating point representation, use the iexp attribute of the numpy.finfo() method in Python Numpy. The first parameter is the float i.e. the kind of float data type to get information about.
Steps
At first, import the required library −
import numpy as np
Checking for float16 type. The iexp is to get the number of bits in the exponent portion. The min is the minimum value of given dtype. The max is the minimum value of given dtype. −
a = np.finfo(np.float16(45.9)) print("Number of bits in the exponent portion float16 type...\n",a.iexp) print("Minimum of float16 type...\n",a.min) print("Maximum of float16 type...\n",a.max)
Checking for float32 type with instances −
b = np.finfo(np.float32(22.3)) print("\nNumber of bits in the exponent portion float32 type...\n",b.iexp) print("Minimum of float32 type...\n",b.min) print("Maximum of float32 type...\n",b.max)
Checking for float type with instances −
c = np.finfo(np.float64(29.2)) print("\nNumber of bits in the exponent portion float64 type...\n",c.iexp) print("Minimum of float64 type...\n",c.min) print("Maximum of float64 type...\n",c.max)
Example
import numpy as np # To get the number of bits in the exponent portion of the floating point representation, use the iexp attribute of the numpy.finfo() method in Python Numpy # The first parameter is the float i.e. the kind of float data type to get information about. # Checking for float16 type # The iexp is to get the number of bits in the exponent portion # The min is the minimum value of given dtype. # The max is the minimum value of given dtype. a = np.finfo(np.float16(45.9)) print("Number of bits in the exponent portion float16 type...\n",a.iexp) print("Minimum of float16 type...\n",a.min) print("Maximum of float16 type...\n",a.max) # Checking for float32 type with instances b = np.finfo(np.float32(22.3)) print("\nNumber of bits in the exponent portion float32 type...\n",b.iexp) print("Minimum of float32 type...\n",b.min) print("Maximum of float32 type...\n",b.max) # Checking for float type with instances c = np.finfo(np.float64(29.2)) print("\nNumber of bits in the exponent portion float64 type...\n",c.iexp) print("Minimum of float64 type...\n",c.min) print("Maximum of float64 type...\n",c.max)
Output
Number of bits in the exponent portion float16 type... 5 Minimum of float16 type... -65500.0 Maximum of float16 type... 65500.0 Number of bits in the exponent portion float32 type... 8 Minimum of float32 type... -3.4028235e+38 Maximum of float32 type... 3.4028235e+38 Number of bits in the exponent portion float64 type... 11 Minimum of float64 type... -1.7976931348623157e+308 Maximum of float64 type... 1.7976931348623157e+308
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