The number of 1's in the binary representation of (3*4096 + 15*256 + 5*16 + 3)…
2015
The number of 1's in the binary representation of (3*4096 + 15*256 + 5*16 + 3) are: ISRO 2015
- A.
8
- B.
9
- C.
10
- D.
12
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Correct answer: C
The expression 3*4096 + 15*256 + 5*16 + 3 corresponds to the hexadecimal number 3F53, as coefficients align with powers of 16.
Converting each hex digit to binary: 3 -> 0011, F(15) -> 1111, 5 -> 0101, 3 -> 0011.
Counting the set bits: 2 + 4 + 2 + 2 = 10 ones.
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