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In this video, I have solved two challenging questions related to number systems and provided an efficient method to solve similar problems Video Chapters 00:00 - Two Questions on Finding the Number of 1s 00:16 - Two Methods to Solve Question 1 00:39 - Solving Question 1 with a Time-Consuming Method 01:19 - Core Idea of the Efficient Method 02:23 - Solving Question 1 with an Efficient Method 04:44 - Solving Question 2 with the Efficient Method 06:21 - A Practice Question 06:35 - Conclusion Disclaimer: The topic covered in this video is based on my understanding. The model problems discussed in this video are inspired by previous years’ GATE computer science exam papers. Though I hold the copyright for all inspired model problems, I do not hold any copyright for the GATE exam papers. I use questions asked in the GATE exam purely for the review and analysis of the same which is allowed as per the law.