(11111111111)2
Explanation:
Given number is in base 2.
∴ (11111111111)2
= 1 × 210 + 1 × 29 + 1 × 28 + 1 × 27 + 1 × 26 + 1 × 25 + 1 × 24 + 1 × 23 + 1 × 22 + 1 × 21 + 1 × 20.
= 210 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 22 + 21 + 20
= 211 – 1 = 2047
Hence, 2047.
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