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Find THE HIGHEST POWER OF 2 IN 200!


The answer is 197.

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1 solution

Aditya Ketkar
Nov 16, 2014

Here is a simple way............. let the power be x, we start counting the value of x from 0, ie. initial value of x = 0. now, for every multiple of 2 between 1 and 200, add 1 to value of x. again doing it for 4, add 1 to value of x for each multiple ( not 2, as we have already counted it in case of 2). similarly carry it on for 8,16,32,64,128.

100+50+25+12+6+3+1=197

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