Question

The number of 1s in the binary representation of (3 ⋆ 4096 + 15 ⋆ 256 + 5 ⋆ 16 + 3) are  
1. 8
2. 9
3. 10
4. 12

Answer 1

Correct Answer - Option 3 : 10

Decimal value = (3 ⋆ 4096 + 15 ⋆ 256 + 5 ⋆ 16 + 3)

It can be written as:

3 × 163 + 15 × 162 + 5 × 161  + 3 × 160

Hexadecimal representation:

= (3F53)16

= (0011 1111 0101 0011)2

The number of 1's is  10