2011 = 4 * 502 + 3 502 = 125 * 4 + 2 125 = 31 * 4 + 1 31 = 4 * 4 * 2 - 1

1 = 4/4 2 = sqrt(4) 3 = 4-4/4 --> 2011 = (((4 * 4 * sqrt(4) - 4/4) * 4 + 4/4) * 4 + sqrt(4)) * 4 + 4 - 4/4

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## Using only the number 4 (as opposed to digit)

2011 = 4 * 502 + 3

502 = 125 * 4 + 2

125 = 31 * 4 + 1

31 = 4 * 4 * 2 - 1

1 = 4/4

2 = sqrt(4)

3 = 4-4/4

--> 2011 = (((4 * 4 * sqrt(4) - 4/4) * 4 + 4/4) * 4 + sqrt(4)) * 4 + 4 - 4/4