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Using one each of the weights 1 g, 2 g, 4 g, … (each double the last), what is the fewest number of weights that lets you weigh every whole number of grams from 1 g to 31 g?

Class 8Number Bases and Old Numeral SystemsNumber System
  • A4
  • B5
  • C6
  • D31

Step-by-Step Solution

With 1, 2, 4, 8, 16 g you can make every total up to 31 = 11111₂, because every number up to 31 has a 5-digit binary form. Four weights reach only 15.
Answer: B) 5

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