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MathNet 2019-part-05 — 184 problems (EN–VI) Question 39

Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)

Question 39

a) Determine the four digit numbers in base 10 which are written in base two only with the digit $1$.

b) How many four digit numbers in base 10 are, such that in base two they contain exactly one zero digit.