The weights’ problem

This puzzle was proposed by Sergey Sokolov via Facebook

What is the minimum number of weights needed to measure every object with total weight of 1gr, 2gr, .. ,120 gr?
Can you find universal formula describing the same algorithm for object with total weight of 1gr, 2gr, …, Xgr?

Publish your answer here - The weights' problem

Solved By: shashank201090