""" Author : Naman Sharma Date : October 2, 2023 Task: To Find the largest power of 2 less than or equal to a given number. Implementation notes: Use bit manipulation. We start from 1 & left shift the set bit to check if (res<<1)<=number. Each left bit shift represents a pow of 2. For example: number: 15 res: 1 0b1 2 0b10 4 0b100 8 0b1000 16 0b10000 (Exit) """ def largest_pow_of_two_le_num(number: int) -> int: """ Return the largest power of two less than or equal to a number. >>> largest_pow_of_two_le_num(0) 0 >>> largest_pow_of_two_le_num(1) 1 >>> largest_pow_of_two_le_num(-1) 0 >>> largest_pow_of_two_le_num(3) 2 >>> largest_pow_of_two_le_num(15) 8 >>> largest_pow_of_two_le_num(99) 64 >>> largest_pow_of_two_le_num(178) 128 >>> largest_pow_of_two_le_num(999999) 524288 >>> largest_pow_of_two_le_num(99.9) Traceback (most recent call last): ... TypeError: Input value must be a 'int' type """ if isinstance(number, float): raise TypeError("Input value must be a 'int' type") if number <= 0: return 0 res = 1 while (res << 1) <= number: res <<= 1 return res if __name__ == "__main__": import doctest doctest.testmod()