Enter a number to determine if it's an odious number, or provide a range to generate all odious numbers within it.
An Odious Number is an integer whose binary representation contains an odd number of 1s. For example, the binary representation of 4 is \( 100 \), which has one \( 1 \), making it an odious number. Conversely, if the binary representation of a number contains an even number of \( 1s \), it is known as an Evil Number.
Solution:
1. Binary Representation:
100 in binary is 1100100.
2. Count of \( 1s \):
There are 3 \( 1s \).
3. Result:
Since 3 is odd, \( 100 \) is an odious number.
Solution:
1. Binary Representation:
444 in binary is 110111100.
2. Count of \( 1s \):
There are 6 \( 1s \).
3. Result:
Since 6 is even, \( 444 \) is not an odious number.
Solution:
1. Binary Representation:
2025 in binary is 11111101001.
2. Count of \( 1s \):
There are 8 \( 1s \).
3. Result:
Since 8 is even, \( 2025 \) is not an odious number.