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1957 AMC 12 Question 19

AMC12 · 1957 AMC 12

Question 19

The base of the decimal number system is ten, meaning, for example, that $123=1\cdot10^2+2\cdot10+3.$ In the binary system, which has base two, the first five positive integers are $1,$ $10,$ $11,$ $100,$ $101.$ The numeral $10011$ in the binary system would then be written in the decimal system as:
  1. $19$
  2. $40$
  3. $10011$
  4. $11$
  5. $7$