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1986 AMC 12 Question 25

AMC12 · 1986 AMC 12

Question 25

If $\lfloor x\rfloor$ is the greatest integer less than or equal to $x,$ then $$
\sum_{N=1}^{1024}\lfloor\log_2N\rfloor=
$$
  1. $8192$
  2. $8204$
  3. $9218$
  4. $\lfloor\log_2(1024!)\rfloor$
  5. none of these