Problem

An inspector of weights and measures uses a special set of weights to check the accuracy...

An inspector of weights and measures uses a special set of weights to check the accuracy of scales. Various weights are placed on a scale to check accuracy of any amount from 1 oz through 15 oz. What is the least number of weights the inspector needs? What weights are needed to check the accuracy of scales from 1 oz through 15 oz ? From 1 oz through 31 oz ?

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