With the help of sympy.trailing() method, we can count the number of trailing zero digits in the binary representation of a given number, i.e. determine the largest power of 2 that divides that number.

Syntax: trailing(n) Parameter: n - It denotes the number for which the largest power of 2 that divides that number is determined. Returns: Returns the largest power of 2 that divides the given number.

Example #1:

 

# import trailing() method from sympy

from sympy.ntheory.factor_ import trailing

n = 64

# Use trailing() method 

trailing_n = trailing(n) 

print("The largest power of 2 that divides {} is 2^{}.".

      format(n, trailing_n))

Output:

The largest power of 2 that divides 64 is 2^6.

Example #2:

 

# import trailing() method from sympy

from sympy.ntheory.factor_ import trailing

​

n = 130

​

# Use trailing() method 

trailing_n = trailing(n) 

print("The largest power of 2 that divides {} is 2^{}.".

      format(n, trailing_n))

Output:

The largest power of 2 that divides 130 is 2^1.