Count total set bits in all numbers from 1 to N

In this article, we have presented an efficient approach to find the total number of set bits in all numbers from 1 to N in O(logN) time by deriving a pattern and a formula.

Table of contents:

Problem StatementBrute Force ApproachEfficient Mathematical Approach

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Problem Statement

Given a positive integer N, our task is to count the total number of set bits in the binary representation of all the numbers from 1 to N.

Exam...