The number of digit 1 present in the binary representation of 3 × 512 + 7 × 64…
2007
The number of digit 1 present in the binary representation of
3 × 512 + 7 × 64 + 5 × 8 + 3- A.
8
- B.
9
- C.
10
- D.
12
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Correct answer: B
First, evaluate the expression: 3 × 512 + 7 × 64 + 5 × 8 + 3 = 1536 + 448 + 40 + 3 = 2027. Next, convert the decimal number 2027 to binary. Dividing by 2 repeatedly shows that 2027 in binary is 11111101011. Finally, count the number of 1s in this binary representation. There are exactly 9 ones.
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