How many three-digit numbers can be expressed as an integral power of $2$?
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Correct Answer: Option C
Detailed Explanation:
Three-digit numbers range from 100 to 999. We need to find integral powers of 2 in this range.
Calculate: 2⁷ = 128, 2⁸ = 256, 2⁹ = 512 (all three-digit). 2⁶ = 64 (two-digit) and 2¹⁰ = 1024 (four-digit) fall outside the range.
Therefore, exactly 3 three-digit numbers (128, 256, 512) are integral powers of 2, making Option 3 the correct answer.
Question 1 of 1 Powers & Indices
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