#1122 · Number Theory · Digits

Binary weights for a ton

Determine which of the weights $1, 2, 4, 8, 16, \dots$ pounds must be used to weigh exactly one long ton (2240 lb). Express the answer as a sum of powers of two.

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H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VII. Scales of Notation, Examples VII.b, No. 30

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).