Question
The number of digit 1 present in the binary representation of 3 × 512 + 5 × 64 + 7 × 8 + 3 is:
The correct answer is
9
However, in this specific problem, because the powers of 2 (2^9, 2^6, 2^3, 2^0) are relatively far apart compared to the number of bits in the coefficients (3=11_2, 5=101_2, 7=111_2), the '1' bits from each term fall into distinct position ranges, preventing overlaps (carries across term boundaries).
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Important Questions from Types of Number System
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