Friday 4 May 2012

Using a set of scales for weighment-rejoinder

I have not received any response to my earlier blog-The same related to the minimum number of weights required to weigh materials with weights upto 80 kg using a set of scales.
The procedure is based on the property relating to numbers formed by repeatedly multiplying 1 wth 2.
The numbers are 1,2,4,8,16,32,64,128,256   etc etc
These numbers could be added to each other without repetitions to produce any total you require and thus these will be values of the weights required for weighig any material
If you use 1,2,4,8,16 you could weigh upto 31kg
If you use 1,2,4,8,16,32 you could weigh upto 63 kg
If you use 1 2 4,8,16,32,64,you could weigh upto 127 kg and so on
For example the weighment of an item with weight  115 kg will require the weights 64,32,16,2 and 1
Similarly for 105 kg,you will require  the weights 64,32,8 and 1 and so on
Let me put a question now.Suppose you are allowed to place weights on both sides of the scales.What will be weights needed? 

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