1994 AIME Problems/Problem 4

Problem

Find the positive integer $n\,$ for which

$\lfloor \log_2{1}\rfloor+\lfloor\log_2{2}\rfloor+\lfloor\log_2{3}\rfloor+\cdots+\lfloor\log_2{n}\rfloor=1994$

.

(For real $x\,$ , $\lfloor x\rfloor\,$ is the greatest integer $\le x.\,$ )

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1994 AIME (Problems • Answer Key • Resources)
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