The number of 1’s present in the binary representation of (3×512 + 7×64 + 5×8…
2006
The number of 1’s present in the binary representation of (3×512 + 7×64 + 5×8 + 3)₁₀ is:
- A.
8
- B.
9
- C.
10
- D.
11
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Correct answer: B
First, express each term as a sum of powers of 2. For 3 × 512, we get 2^10 + 2^9. For 7 × 64, we get 2^8 + 2^7 + 2^6. For 5 × 8, we get 2^5 + 2^3. Finally, 3 is 2^1 + 2^0. Counting all distinct powers gives a total of nine set bits.
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